WEBVTT Kind: captions Language: en 00:00:12.160 --> 00:00:13.910 align:start position:0% fishing<00:00:12.559> is<00:00:12.719> the<00:00:12.799> world's<00:00:13.120> most<00:00:13.360> popular 00:00:13.910 --> 00:00:13.920 align:start position:0% fishing is the world's most popular 00:00:13.920 --> 00:00:16.950 align:start position:0% fishing is the world's most popular participatory<00:00:14.920> sport<00:00:16.000> millions<00:00:16.560> enjoy 00:00:16.950 --> 00:00:16.960 align:start position:0% participatory sport millions enjoy 00:00:16.960 --> 00:00:19.670 align:start position:0% participatory sport millions enjoy relaxing<00:00:17.600> in<00:00:17.680> this<00:00:17.920> way 00:00:19.670 --> 00:00:19.680 align:start position:0% relaxing in this way 00:00:19.680 --> 00:00:22.790 align:start position:0% relaxing in this way but<00:00:19.920> for<00:00:20.080> others<00:00:20.400> it's<00:00:20.640> a<00:00:20.800> livelihood 00:00:22.790 --> 00:00:22.800 align:start position:0% but for others it's a livelihood 00:00:22.800 --> 00:00:25.189 align:start position:0% but for others it's a livelihood fish<00:00:23.039> is<00:00:23.199> a<00:00:23.279> healthy<00:00:23.680> food<00:00:24.320> and<00:00:24.560> demand<00:00:24.960> is 00:00:25.189 --> 00:00:25.199 align:start position:0% fish is a healthy food and demand is 00:00:25.199 --> 00:00:26.950 align:start position:0% fish is a healthy food and demand is rising 00:00:26.950 --> 00:00:26.960 align:start position:0% rising 00:00:26.960 --> 00:00:29.109 align:start position:0% rising yet<00:00:27.199> as<00:00:27.279> a<00:00:27.359> result<00:00:27.760> the<00:00:27.920> world's<00:00:28.240> fish<00:00:28.480> stocks 00:00:29.109 --> 00:00:29.119 align:start position:0% yet as a result the world's fish stocks 00:00:29.119 --> 00:00:32.150 align:start position:0% yet as a result the world's fish stocks are<00:00:29.359> under<00:00:29.679> pressure<00:00:30.080> and<00:00:30.240> declining 00:00:32.150 --> 00:00:32.160 align:start position:0% are under pressure and declining 00:00:32.160 --> 00:00:34.389 align:start position:0% are under pressure and declining one<00:00:32.399> area<00:00:32.800> of<00:00:32.880> particular<00:00:33.440> concern<00:00:34.239> is 00:00:34.389 --> 00:00:34.399 align:start position:0% one area of particular concern is 00:00:34.399 --> 00:00:36.950 align:start position:0% one area of particular concern is fisheries<00:00:34.960> policy<00:00:35.440> in<00:00:35.520> the<00:00:35.680> eu 00:00:36.950 --> 00:00:36.960 align:start position:0% fisheries policy in the eu 00:00:36.960 --> 00:00:39.190 align:start position:0% fisheries policy in the eu for<00:00:37.120> example<00:00:37.600> here<00:00:37.840> in<00:00:38.000> greece<00:00:38.640> fish<00:00:38.879> stocks 00:00:39.190 --> 00:00:39.200 align:start position:0% for example here in greece fish stocks 00:00:39.200 --> 00:00:41.110 align:start position:0% for example here in greece fish stocks have<00:00:39.280> been<00:00:39.440> declining<00:00:40.079> for<00:00:40.320> years<00:00:40.879> there's 00:00:41.110 --> 00:00:41.120 align:start position:0% have been declining for years there's 00:00:41.120 --> 00:00:43.590 align:start position:0% have been declining for years there's been<00:00:41.360> a<00:00:41.440> serious<00:00:41.920> problem<00:00:42.320> of<00:00:42.480> overfishing 00:00:43.590 --> 00:00:43.600 align:start position:0% been a serious problem of overfishing 00:00:43.600 --> 00:00:45.270 align:start position:0% been a serious problem of overfishing and<00:00:43.840> greek<00:00:44.079> fishermen<00:00:44.559> have<00:00:44.640> had<00:00:44.800> to<00:00:44.960> go 00:00:45.270 --> 00:00:45.280 align:start position:0% and greek fishermen have had to go 00:00:45.280 --> 00:00:47.270 align:start position:0% and greek fishermen have had to go further<00:00:45.760> out<00:00:46.079> and<00:00:46.160> look<00:00:46.399> for<00:00:46.559> more<00:00:46.879> and<00:00:46.960> more 00:00:47.270 --> 00:00:47.280 align:start position:0% further out and look for more and more 00:00:47.280 --> 00:00:50.069 align:start position:0% further out and look for more and more marginal<00:00:47.840> stocks 00:00:50.069 --> 00:00:50.079 align:start position:0% marginal stocks 00:00:50.079 --> 00:00:52.630 align:start position:0% marginal stocks in<00:00:50.160> one<00:00:50.480> place<00:00:51.120> the<00:00:51.280> fish<00:00:51.600> levels 00:00:52.630 --> 00:00:52.640 align:start position:0% in one place the fish levels 00:00:52.640 --> 00:00:54.470 align:start position:0% in one place the fish levels have<00:00:52.800> remained<00:00:53.199> pretty<00:00:53.600> healthy<00:00:54.160> at<00:00:54.239> least 00:00:54.470 --> 00:00:54.480 align:start position:0% have remained pretty healthy at least 00:00:54.480 --> 00:00:56.229 align:start position:0% have remained pretty healthy at least until<00:00:54.800> recently 00:00:56.229 --> 00:00:56.239 align:start position:0% until recently 00:00:56.239 --> 00:00:58.470 align:start position:0% until recently and<00:00:56.399> that's<00:00:56.640> iceland 00:00:58.470 --> 00:00:58.480 align:start position:0% and that's iceland 00:00:58.480 --> 00:01:01.349 align:start position:0% and that's iceland this<00:00:58.800> fish<00:00:59.199> fishing<00:00:59.520> grounds<00:00:59.840> around<00:01:00.160> iceland 00:01:01.349 --> 00:01:01.359 align:start position:0% this fish fishing grounds around iceland 00:01:01.359 --> 00:01:02.709 align:start position:0% this fish fishing grounds around iceland are<00:01:01.520> the 00:01:02.709 --> 00:01:02.719 align:start position:0% are the 00:01:02.719 --> 00:01:04.070 align:start position:0% are the best 00:01:04.070 --> 00:01:04.080 align:start position:0% best 00:01:04.080 --> 00:01:06.310 align:start position:0% best fishing<00:01:04.400> grounds<00:01:04.799> you<00:01:04.960> can<00:01:05.199> get 00:01:06.310 --> 00:01:06.320 align:start position:0% fishing grounds you can get 00:01:06.320 --> 00:01:09.590 align:start position:0% fishing grounds you can get it<00:01:06.640> gives<00:01:06.880> you<00:01:06.960> 2<00:01:07.200> million<00:01:07.680> tonnes<00:01:08.320> per<00:01:08.640> year 00:01:09.590 --> 00:01:09.600 align:start position:0% it gives you 2 million tonnes per year 00:01:09.600 --> 00:01:11.990 align:start position:0% it gives you 2 million tonnes per year if<00:01:09.760> you<00:01:09.920> console<00:01:10.400> it<00:01:10.640> 2<00:01:10.799> million<00:01:11.280> every<00:01:11.680> every 00:01:11.990 --> 00:01:12.000 align:start position:0% if you console it 2 million every every 00:01:12.000 --> 00:01:15.510 align:start position:0% if you console it 2 million every every year<00:01:12.479> next<00:01:12.960> 100<00:01:13.520> years 00:01:15.510 --> 00:01:15.520 align:start position:0% year next 100 years 00:01:15.520 --> 00:01:17.109 align:start position:0% year next 100 years this<00:01:15.680> has<00:01:15.759> been<00:01:16.000> a<00:01:16.080> troubled<00:01:16.479> economy<00:01:16.960> in 00:01:17.109 --> 00:01:17.119 align:start position:0% this has been a troubled economy in 00:01:17.119 --> 00:01:19.429 align:start position:0% this has been a troubled economy in recent<00:01:17.520> years<00:01:18.159> its<00:01:18.400> banking<00:01:18.880> collapse 00:01:19.429 --> 00:01:19.439 align:start position:0% recent years its banking collapse 00:01:19.439 --> 00:01:22.070 align:start position:0% recent years its banking collapse devastating<00:01:20.159> incomes 00:01:22.070 --> 00:01:22.080 align:start position:0% devastating incomes 00:01:22.080 --> 00:01:24.149 align:start position:0% devastating incomes and<00:01:22.159> so<00:01:22.400> an<00:01:22.560> island<00:01:22.880> once<00:01:23.280> fairly<00:01:23.600> dependent 00:01:24.149 --> 00:01:24.159 align:start position:0% and so an island once fairly dependent 00:01:24.159 --> 00:01:26.870 align:start position:0% and so an island once fairly dependent on<00:01:24.400> fish<00:01:25.119> relies<00:01:25.600> even<00:01:25.920> more<00:01:26.159> heavily<00:01:26.560> on<00:01:26.720> it 00:01:26.870 --> 00:01:26.880 align:start position:0% on fish relies even more heavily on it 00:01:26.880 --> 00:01:28.710 align:start position:0% on fish relies even more heavily on it now 00:01:28.710 --> 00:01:28.720 align:start position:0% now 00:01:28.720 --> 00:01:31.429 align:start position:0% now a<00:01:28.880> careful<00:01:29.360> policy<00:01:30.079> that<00:01:30.320> manages<00:01:30.799> to<00:01:30.960> harvest 00:01:31.429 --> 00:01:31.439 align:start position:0% a careful policy that manages to harvest 00:01:31.439 --> 00:01:33.749 align:start position:0% a careful policy that manages to harvest the<00:01:31.600> sea<00:01:31.840> efficiently<00:01:32.799> without<00:01:33.200> depleting 00:01:33.749 --> 00:01:33.759 align:start position:0% the sea efficiently without depleting 00:01:33.759 --> 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currency is<00:01:41.200> leading<00:01:41.520> to<00:01:41.680> the<00:01:41.840> setting<00:01:42.159> of<00:01:42.320> fish<00:01:42.560> quotas 00:01:43.429 --> 00:01:43.439 align:start position:0% is leading to the setting of fish quotas 00:01:43.439 --> 00:01:48.069 align:start position:0% is leading to the setting of fish quotas at<00:01:43.600> a<00:01:43.759> too<00:01:44.000> higher<00:01:44.399> level 00:01:48.069 --> 00:01:48.079 align:start position:0% 00:01:48.079 --> 00:01:49.990 align:start position:0% icelandic<00:01:48.560> fish<00:01:48.799> are<00:01:49.040> caught 00:01:49.990 --> 00:01:50.000 align:start position:0% icelandic fish are caught 00:01:50.000 --> 00:01:52.310 align:start position:0% icelandic fish are caught and<00:01:50.159> then<00:01:50.399> sold<00:01:50.640> to<00:01:50.799> local<00:01:51.200> farms 00:01:52.310 --> 00:01:52.320 align:start position:0% and then sold to local farms 00:01:52.320 --> 00:01:54.710 align:start position:0% and then sold to local farms who<00:01:52.479> prepare<00:01:52.880> the<00:01:53.040> fish<00:01:53.280> for<00:01:53.520> sale<00:01:54.159> in<00:01:54.399> many 00:01:54.710 --> 00:01:54.720 align:start position:0% who prepare the fish for sale in many 00:01:54.720 --> 00:01:58.630 align:start position:0% who prepare the fish for sale in many countries<00:01:55.439> including<00:01:55.840> the<00:01:56.000> uk 00:01:58.630 --> 00:01:58.640 align:start position:0% 00:01:58.640 --> 00:02:01.510 align:start position:0% when<00:01:58.799> you<00:01:58.960> buy<00:01:59.200> a<00:01:59.360> cod<00:01:59.680> from<00:01:59.920> the<00:02:00.560> supermarket 00:02:01.510 --> 00:02:01.520 align:start position:0% when you buy a cod from the supermarket 00:02:01.520 --> 00:02:03.670 align:start position:0% when you buy a cod from the supermarket or<00:02:01.680> from<00:02:01.840> the<00:02:02.000> chip<00:02:02.320> shop 00:02:03.670 --> 00:02:03.680 align:start position:0% or from the chip shop 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in<00:02:13.120> the<00:02:13.280> industry 00:02:14.150 --> 00:02:14.160 align:start position:0% but at least competition in the industry 00:02:14.160 --> 00:02:16.470 align:start position:0% but at least competition in the industry ensures<00:02:14.640> that<00:02:14.800> the<00:02:14.959> production<00:02:15.520> process<00:02:16.319> will 00:02:16.470 --> 00:02:16.480 align:start position:0% ensures that the production process will 00:02:16.480 --> 00:02:21.350 align:start position:0% ensures that the production process will be<00:02:16.720> highly<00:02:17.120> efficient 00:02:21.350 --> 00:02:21.360 align:start position:0% 00:02:21.360 --> 00:02:23.510 align:start position:0% here<00:02:21.599> in<00:02:21.680> this<00:02:22.000> icelandic<00:02:22.640> fish<00:02:22.959> processing 00:02:23.510 --> 00:02:23.520 align:start position:0% here in this icelandic fish processing 00:02:23.520 --> 00:02:26.390 align:start position:0% here in this icelandic fish processing plant<00:02:24.319> many<00:02:24.640> different<00:02:24.959> kinds<00:02:25.360> of<00:02:25.520> fish<00:02:26.239> are 00:02:26.390 --> 00:02:26.400 align:start position:0% plant many different kinds of fish are 00:02:26.400 --> 00:02:29.350 align:start position:0% plant many different kinds of fish are being<00:02:26.800> boxed<00:02:27.200> and<00:02:27.440> sold<00:02:28.160> and<00:02:28.400> sold<00:02:28.640> to<00:02:28.879> a<00:02:29.040> wide 00:02:29.350 --> 00:02:29.360 align:start position:0% being boxed and sold and sold to a wide 00:02:29.360 --> 00:02:31.830 align:start position:0% being boxed and sold and sold to a wide variety<00:02:29.920> of<00:02:30.080> countries<00:02:30.640> including<00:02:31.200> spain<00:02:31.760> and 00:02:31.830 --> 00:02:31.840 align:start position:0% variety of countries including spain and 00:02:31.840 --> 00:02:34.550 align:start position:0% variety of countries including spain and the<00:02:32.000> uk 00:02:34.550 --> 00:02:34.560 align:start position:0% 00:02:34.560 --> 00:02:37.110 align:start position:0% those<00:02:34.800> that<00:02:35.040> are<00:02:35.120> destined<00:02:35.519> to<00:02:35.599> go<00:02:35.760> to<00:02:35.920> the<00:02:36.080> uk 00:02:37.110 --> 00:02:37.120 align:start position:0% those that are destined to go to the uk 00:02:37.120 --> 00:02:39.910 align:start position:0% those that are destined to go to the uk many<00:02:37.360> will<00:02:37.599> finish<00:02:37.920> up<00:02:38.080> in<00:02:38.160> the<00:02:38.239> supermarket 00:02:39.910 --> 00:02:39.920 align:start position:0% many will finish up in the supermarket 00:02:39.920 --> 00:02:43.110 align:start position:0% many will finish up in the supermarket others<00:02:40.239> in<00:02:40.319> the<00:02:40.400> fish<00:02:40.640> and<00:02:40.800> chip<00:02:41.040> shop 00:02:43.110 --> 00:02:43.120 align:start position:0% others in the fish and chip shop 00:02:43.120 --> 00:02:45.110 align:start position:0% others in the fish and chip shop typically<00:02:43.599> a<00:02:43.680> box<00:02:44.080> weighs<00:02:44.400> around<00:02:44.800> 5 00:02:45.110 --> 00:02:45.120 align:start position:0% typically a box weighs around 5 00:02:45.120 --> 00:02:47.030 align:start position:0% typically a box weighs around 5 kilograms 00:02:47.030 --> 00:02:47.040 align:start position:0% kilograms 00:02:47.040 --> 00:02:49.110 align:start position:0% kilograms the<00:02:47.200> processor<00:02:47.760> can<00:02:47.920> get<00:02:48.160> each<00:02:48.400> box<00:02:48.720> very 00:02:49.110 --> 00:02:49.120 align:start position:0% the processor can get each box very 00:02:49.120 --> 00:02:51.350 align:start position:0% the processor can get each box very close<00:02:49.360> to<00:02:49.519> this<00:02:49.760> weight<00:02:50.319> the<00:02:50.480> company<00:02:50.879> uses 00:02:51.350 --> 00:02:51.360 align:start position:0% close to this weight the company uses 00:02:51.360 --> 00:02:53.750 align:start position:0% close to this weight the company uses automatic<00:02:52.000> weighing<00:02:52.480> systems<00:02:53.040> that<00:02:53.280> separate 00:02:53.750 --> 00:02:53.760 align:start position:0% automatic weighing systems that separate 00:02:53.760 --> 00:02:55.430 align:start position:0% automatic weighing systems that separate the<00:02:53.920> fish<00:02:54.239> and<00:02:54.400> weigh<00:02:54.720> each<00:02:55.040> item 00:02:55.430 --> 00:02:55.440 align:start position:0% the fish and weigh each item 00:02:55.440 --> 00:02:57.430 align:start position:0% the fish and weigh each item individually 00:02:57.430 --> 00:02:57.440 align:start position:0% individually 00:02:57.440 --> 00:02:59.030 align:start position:0% individually these<00:02:57.680> are<00:02:57.840> then<00:02:58.159> channeled<00:02:58.480> to<00:02:58.640> different 00:02:59.030 --> 00:02:59.040 align:start position:0% these are then channeled to different 00:02:59.040 --> 00:03:01.509 align:start position:0% these are then channeled to different packages<00:02:59.920> to<00:03:00.080> ensure<00:03:00.560> accurate<00:03:01.040> weights<00:03:01.360> in 00:03:01.509 --> 00:03:01.519 align:start position:0% packages to ensure accurate weights in 00:03:01.519 --> 00:03:02.710 align:start position:0% packages to ensure accurate weights in each<00:03:01.760> pack 00:03:02.710 --> 00:03:02.720 align:start position:0% each pack 00:03:02.720 --> 00:03:04.790 align:start position:0% each pack and<00:03:02.879> that's<00:03:03.120> why<00:03:03.360> the<00:03:03.519> variations<00:03:04.319> can<00:03:04.480> be 00:03:04.790 --> 00:03:04.800 align:start position:0% and that's why the variations can be 00:03:04.800 --> 00:03:13.190 align:start position:0% and that's why the variations can be kept<00:03:05.519> to<00:03:05.680> a<00:03:05.840> small<00:03:06.239> amount 00:03:13.190 --> 00:03:13.200 align:start position:0% 00:03:13.200 --> 00:03:15.670 align:start position:0% it<00:03:13.440> can't<00:03:13.680> be<00:03:13.920> possible<00:03:14.319> that<00:03:14.640> every<00:03:15.200> single 00:03:15.670 --> 00:03:15.680 align:start position:0% it can't be possible that every single 00:03:15.680 --> 00:03:18.790 align:start position:0% it can't be possible that every single box<00:03:16.400> is<00:03:16.640> exactly<00:03:17.280> the<00:03:17.440> same<00:03:17.760> weight 00:03:18.790 --> 00:03:18.800 align:start position:0% box is exactly the same weight 00:03:18.800 --> 00:03:20.630 align:start position:0% box is exactly the same weight but<00:03:18.959> the<00:03:19.120> processor<00:03:19.680> needs<00:03:19.920> to<00:03:20.000> be<00:03:20.239> sure<00:03:20.480> that 00:03:20.630 --> 00:03:20.640 align:start position:0% but the processor needs to be sure that 00:03:20.640 --> 00:03:22.470 align:start position:0% but the processor needs to be sure that it's<00:03:20.879> pretty<00:03:21.280> close<00:03:21.840> otherwise<00:03:22.319> his 00:03:22.470 --> 00:03:22.480 align:start position:0% it's pretty close otherwise his 00:03:22.480 --> 00:03:26.309 align:start position:0% it's pretty close otherwise his customers<00:03:23.040> are<00:03:23.120> going<00:03:23.280> to<00:03:23.360> start<00:03:23.599> complaining 00:03:26.309 --> 00:03:26.319 align:start position:0% 00:03:26.319 --> 00:03:28.470 align:start position:0% now<00:03:26.640> can<00:03:26.879> we<00:03:27.120> be<00:03:27.440> sure 00:03:28.470 --> 00:03:28.480 align:start position:0% now can we be sure 00:03:28.480 --> 00:03:31.110 align:start position:0% now can we be sure that<00:03:28.720> the<00:03:28.959> great<00:03:29.280> majority<00:03:30.000> of<00:03:30.159> these<00:03:30.480> boxes 00:03:31.110 --> 00:03:31.120 align:start position:0% that the great majority of these boxes 00:03:31.120 --> 00:03:33.270 align:start position:0% that the great majority of these boxes is<00:03:31.360> within<00:03:31.760> some<00:03:32.159> acceptable<00:03:32.799> range<00:03:33.120> of 00:03:33.270 --> 00:03:33.280 align:start position:0% is within some acceptable range of 00:03:33.280 --> 00:03:34.550 align:start position:0% is within some acceptable range of tolerance 00:03:34.550 --> 00:03:34.560 align:start position:0% tolerance 00:03:34.560 --> 00:03:36.070 align:start position:0% tolerance well<00:03:34.799> we<00:03:35.040> can 00:03:36.070 --> 00:03:36.080 align:start position:0% well we can 00:03:36.080 --> 00:03:38.309 align:start position:0% well we can provided<00:03:36.640> we<00:03:36.799> understand<00:03:37.680> chebyshev's 00:03:38.309 --> 00:03:38.319 align:start position:0% provided we understand chebyshev's 00:03:38.319 --> 00:03:40.070 align:start position:0% provided we understand chebyshev's theorem 00:03:40.070 --> 00:03:40.080 align:start position:0% theorem 00:03:40.080 --> 00:03:42.309 align:start position:0% theorem so<00:03:40.400> chebyshev's<00:03:41.120> theorem<00:03:41.519> says<00:03:41.680> that<00:03:41.920> for<00:03:42.080> any 00:03:42.309 --> 00:03:42.319 align:start position:0% so chebyshev's theorem says that for any 00:03:42.319 --> 00:03:45.350 align:start position:0% so chebyshev's theorem says that for any data<00:03:42.640> set<00:03:42.959> and<00:03:43.120> for<00:03:43.360> any<00:03:43.599> constant<00:03:44.239> k 00:03:45.350 --> 00:03:45.360 align:start position:0% data set and for any constant k 00:03:45.360 --> 00:03:47.509 align:start position:0% data set and for any constant k if<00:03:45.519> that<00:03:45.760> number<00:03:46.080> is<00:03:46.239> greater<00:03:46.560> than<00:03:46.720> one 00:03:47.509 --> 00:03:47.519 align:start position:0% if that number is greater than one 00:03:47.519 --> 00:03:49.750 align:start position:0% if that number is greater than one at<00:03:47.760> least<00:03:48.319> one<00:03:48.640> minus 00:03:49.750 --> 00:03:49.760 align:start position:0% at least one minus 00:03:49.760 --> 00:03:52.550 align:start position:0% at least one minus one<00:03:50.000> over<00:03:50.239> k<00:03:50.560> squared<00:03:50.959> of<00:03:51.040> the<00:03:51.200> data<00:03:52.080> will<00:03:52.319> lie 00:03:52.550 --> 00:03:52.560 align:start position:0% one over k squared of the data will lie 00:03:52.560 --> 00:03:55.750 align:start position:0% one over k squared of the data will lie within<00:03:53.040> k<00:03:53.439> standard<00:03:53.920> deviations<00:03:55.120> either<00:03:55.519> side 00:03:55.750 --> 00:03:55.760 align:start position:0% within k standard deviations either side 00:03:55.760 --> 00:03:57.910 align:start position:0% within k standard deviations either side of<00:03:55.840> the<00:03:56.000> mean 00:03:57.910 --> 00:03:57.920 align:start position:0% of the mean 00:03:57.920 --> 00:03:59.429 align:start position:0% of the mean so<00:03:58.080> if<00:03:58.159> we<00:03:58.239> want<00:03:58.400> to<00:03:58.560> know<00:03:58.720> the<00:03:58.799> percentage<00:03:59.360> of 00:03:59.429 --> 00:03:59.439 align:start position:0% so if we want to know the percentage of 00:03:59.439 --> 00:04:01.350 align:start position:0% so if we want to know the percentage of boxes<00:03:59.920> lying<00:04:00.239> within<00:04:00.560> a<00:04:00.640> range<00:04:00.959> of<00:04:01.120> two 00:04:01.350 --> 00:04:01.360 align:start position:0% boxes lying within a range of two 00:04:01.360 --> 00:04:03.830 align:start position:0% boxes lying within a range of two standard<00:04:01.760> deviations<00:04:02.799> either<00:04:03.280> side<00:04:03.519> of<00:04:03.680> the 00:04:03.830 --> 00:04:03.840 align:start position:0% standard deviations either side of the 00:04:03.840 --> 00:04:04.630 align:start position:0% standard deviations either side of the mean 00:04:04.630 --> 00:04:04.640 align:start position:0% mean 00:04:04.640 --> 00:04:06.869 align:start position:0% mean we<00:04:04.879> let<00:04:05.120> k<00:04:05.439> equal<00:04:05.840> two 00:04:06.869 --> 00:04:06.879 align:start position:0% we let k equal two 00:04:06.879 --> 00:04:08.390 align:start position:0% we let k equal two and<00:04:07.120> we<00:04:07.280> get 00:04:08.390 --> 00:04:08.400 align:start position:0% and we get 00:04:08.400 --> 00:04:10.470 align:start position:0% and we get one<00:04:09.200> minus 00:04:10.470 --> 00:04:10.480 align:start position:0% one minus 00:04:10.480 --> 00:04:13.429 align:start position:0% one minus one<00:04:10.959> over<00:04:11.439> two<00:04:11.680> squared 00:04:13.429 --> 00:04:13.439 align:start position:0% one over two squared 00:04:13.439 --> 00:04:14.869 align:start position:0% one over two squared which<00:04:13.680> equals 00:04:14.869 --> 00:04:14.879 align:start position:0% which equals 00:04:14.879 --> 00:04:15.670 align:start position:0% which equals one 00:04:15.670 --> 00:04:15.680 align:start position:0% one 00:04:15.680 --> 00:04:18.069 align:start position:0% one minus<00:04:16.320> one<00:04:16.560> over<00:04:16.799> four 00:04:18.069 --> 00:04:18.079 align:start position:0% minus one over four 00:04:18.079 --> 00:04:20.550 align:start position:0% minus one over four which<00:04:18.320> equals<00:04:18.639> three<00:04:18.880> quarters 00:04:20.550 --> 00:04:20.560 align:start position:0% which equals three quarters 00:04:20.560 --> 00:04:22.550 align:start position:0% which equals three quarters equals<00:04:20.959> seventy<00:04:21.280> five<00:04:21.519> percent 00:04:22.550 --> 00:04:22.560 align:start position:0% equals seventy five percent 00:04:22.560 --> 00:04:24.230 align:start position:0% equals seventy five percent so<00:04:22.800> we<00:04:22.880> know<00:04:23.040> that<00:04:23.199> at<00:04:23.360> least<00:04:23.600> seventy<00:04:24.000> five 00:04:24.230 --> 00:04:24.240 align:start position:0% so we know that at least seventy five 00:04:24.240 --> 00:04:25.749 align:start position:0% so we know that at least seventy five percent 00:04:25.749 --> 00:04:25.759 align:start position:0% percent 00:04:25.759 --> 00:04:27.350 align:start position:0% percent of<00:04:25.919> the<00:04:26.160> values 00:04:27.350 --> 00:04:27.360 align:start position:0% of the values 00:04:27.360 --> 00:04:29.110 align:start position:0% of the values in<00:04:27.520> our<00:04:27.680> case<00:04:28.160> the<00:04:28.320> weights<00:04:28.639> of<00:04:28.720> the<00:04:28.880> fish 00:04:29.110 --> 00:04:29.120 align:start position:0% in our case the weights of the fish 00:04:29.120 --> 00:04:32.070 align:start position:0% in our case the weights of the fish boxes<00:04:29.840> lie<00:04:30.560> between<00:04:31.040> the<00:04:31.280> mean 00:04:32.070 --> 00:04:32.080 align:start position:0% boxes lie between the mean 00:04:32.080 --> 00:04:35.030 align:start position:0% boxes lie between the mean and<00:04:32.320> minus<00:04:32.880> two<00:04:33.120> standard<00:04:33.520> deviations 00:04:35.030 --> 00:04:35.040 align:start position:0% and minus two standard deviations 00:04:35.040 --> 00:04:36.870 align:start position:0% and minus two standard deviations and<00:04:35.199> the<00:04:35.440> mean<00:04:36.000> plus<00:04:36.320> two<00:04:36.560> standard 00:04:36.870 --> 00:04:36.880 align:start position:0% and the mean plus two standard 00:04:36.880 --> 00:04:39.270 align:start position:0% and the mean plus two standard deviations 00:04:39.270 --> 00:04:39.280 align:start position:0% deviations 00:04:39.280 --> 00:04:41.590 align:start position:0% deviations if<00:04:39.440> we<00:04:39.520> let<00:04:39.759> k<00:04:40.080> equal<00:04:40.400> to<00:04:40.720> three<00:04:41.120> we<00:04:41.280> want<00:04:41.440> to 00:04:41.590 --> 00:04:41.600 align:start position:0% if we let k equal to three we want to 00:04:41.600 --> 00:04:43.990 align:start position:0% if we let k equal to three we want to know<00:04:41.759> the<00:04:42.000> minimum<00:04:42.720> percentage<00:04:43.360> of<00:04:43.520> boxes 00:04:43.990 --> 00:04:44.000 align:start position:0% know the minimum percentage of boxes 00:04:44.000 --> 00:04:46.390 align:start position:0% know the minimum percentage of boxes sure<00:04:44.320> to<00:04:44.479> fall<00:04:44.800> within<00:04:45.120> a<00:04:45.520> range<00:04:45.919> of<00:04:46.080> three 00:04:46.390 --> 00:04:46.400 align:start position:0% sure to fall within a range of three 00:04:46.400 --> 00:04:48.310 align:start position:0% sure to fall within a range of three standard<00:04:46.800> deviations<00:04:47.520> either<00:04:47.840> side<00:04:48.080> of<00:04:48.160> the 00:04:48.310 --> 00:04:48.320 align:start position:0% standard deviations either side of the 00:04:48.320 --> 00:04:49.189 align:start position:0% standard deviations either side of the mean 00:04:49.189 --> 00:04:49.199 align:start position:0% mean 00:04:49.199 --> 00:04:53.110 align:start position:0% mean we<00:04:49.440> have<00:04:50.000> one<00:04:50.720> minus<00:04:51.360> one<00:04:51.600> over<00:04:51.840> three<00:04:52.160> squared 00:04:53.110 --> 00:04:53.120 align:start position:0% we have one minus one over three squared 00:04:53.120 --> 00:04:54.310 align:start position:0% we have one minus one over three squared equals 00:04:54.310 --> 00:04:54.320 align:start position:0% equals 00:04:54.320 --> 00:04:56.710 align:start position:0% equals one<00:04:54.639> minus<00:04:55.120> 1<00:04:55.440> 9 00:04:56.710 --> 00:04:56.720 align:start position:0% one minus 1 9 00:04:56.720 --> 00:04:58.390 align:start position:0% one minus 1 9 or<00:04:57.040> 8<00:04:57.280> 9 00:04:58.390 --> 00:04:58.400 align:start position:0% or 8 9 00:04:58.400 --> 00:04:59.790 align:start position:0% or 8 9 which<00:04:58.639> equals 00:04:59.790 --> 00:04:59.800 align:start position:0% which equals 00:04:59.800 --> 00:05:02.270 align:start position:0% which equals 88.9<00:05:00.800> percent 00:05:02.270 --> 00:05:02.280 align:start position:0% 88.9 percent 00:05:02.280 --> 00:05:08.830 align:start position:0% 88.9 percent 88.9<00:05:03.759> of<00:05:03.840> the<00:05:04.000> boxes<00:05:04.880> will<00:05:05.120> fall<00:05:05.360> within<00:05:05.680> that 00:05:08.830 --> 00:05:08.840 align:start position:0% 00:05:08.840 --> 00:05:11.749 align:start position:0% range<00:05:09.919> after<00:05:10.240> this<00:05:10.479> understanding<00:05:11.360> we<00:05:11.520> can 00:05:11.749 --> 00:05:11.759 align:start position:0% range after this understanding we can 00:05:11.759 --> 00:05:14.390 align:start position:0% range after this understanding we can choose<00:05:12.160> an<00:05:12.320> acceptable<00:05:13.280> toleration<00:05:14.240> of 00:05:14.390 --> 00:05:14.400 align:start position:0% choose an acceptable toleration of 00:05:14.400 --> 00:05:16.230 align:start position:0% choose an acceptable toleration of weight<00:05:14.720> variants 00:05:16.230 --> 00:05:16.240 align:start position:0% weight variants 00:05:16.240 --> 00:05:18.150 align:start position:0% weight variants and<00:05:16.400> if<00:05:16.560> we<00:05:16.720> know<00:05:16.880> the<00:05:17.039> standard<00:05:17.440> deviation<00:05:18.080> of 00:05:18.150 --> 00:05:18.160 align:start position:0% and if we know the standard deviation of 00:05:18.160 --> 00:05:20.469 align:start position:0% and if we know the standard deviation of the<00:05:18.320> boxes<00:05:18.880> and<00:05:19.039> the<00:05:19.360> mean 00:05:20.469 --> 00:05:20.479 align:start position:0% the boxes and the mean 00:05:20.479 --> 00:05:23.430 align:start position:0% the boxes and the mean we<00:05:20.639> can<00:05:20.880> work<00:05:21.280> out<00:05:21.520> the<00:05:21.759> proportion<00:05:22.479> of<00:05:22.639> boxes 00:05:23.430 --> 00:05:23.440 align:start position:0% we can work out the proportion of boxes 00:05:23.440 --> 00:05:25.590 align:start position:0% we can work out the proportion of boxes that<00:05:23.680> will<00:05:24.000> fall<00:05:24.320> within<00:05:24.639> that<00:05:24.960> acceptable 00:05:25.590 --> 00:05:25.600 align:start position:0% that will fall within that acceptable 00:05:25.600 --> 00:05:27.990 align:start position:0% that will fall within that acceptable range 00:05:27.990 --> 00:05:28.000 align:start position:0% range 00:05:28.000 --> 00:05:30.310 align:start position:0% range so<00:05:28.160> here's<00:05:28.400> our<00:05:28.560> problem<00:05:29.199> the<00:05:29.440> 5<00:05:29.759> kilogram 00:05:30.310 --> 00:05:30.320 align:start position:0% so here's our problem the 5 kilogram 00:05:30.320 --> 00:05:34.790 align:start position:0% so here's our problem the 5 kilogram boxes<00:05:30.800> have<00:05:30.960> a<00:05:31.120> 5<00:05:31.520> kilogram<00:05:32.560> mean<00:05:32.960> weight 00:05:34.790 --> 00:05:34.800 align:start position:0% boxes have a 5 kilogram mean weight 00:05:34.800 --> 00:05:36.110 align:start position:0% boxes have a 5 kilogram mean weight but<00:05:34.960> with<00:05:35.280> a 00:05:36.110 --> 00:05:36.120 align:start position:0% but with a 00:05:36.120 --> 00:05:37.749 align:start position:0% but with a 0.01 00:05:37.749 --> 00:05:37.759 align:start position:0% 0.01 00:05:37.759 --> 00:05:40.629 align:start position:0% 0.01 standard<00:05:38.240> deviation 00:05:40.629 --> 00:05:40.639 align:start position:0% standard deviation 00:05:40.639 --> 00:05:43.430 align:start position:0% standard deviation so<00:05:40.880> at<00:05:40.960> least<00:05:41.360> what<00:05:41.680> percentage<00:05:42.320> of<00:05:42.400> the<00:05:42.560> boxes 00:05:43.430 --> 00:05:43.440 align:start position:0% so at least what percentage of the boxes 00:05:43.440 --> 00:05:45.710 align:start position:0% so at least what percentage of the boxes must<00:05:43.759> have<00:05:43.919> been<00:05:44.240> between 00:05:45.710 --> 00:05:45.720 align:start position:0% must have been between 00:05:45.720 --> 00:05:50.070 align:start position:0% must have been between 4.95<00:05:47.039> and<00:05:47.479> 5.05<00:05:48.560> kilograms<00:05:49.199> of<00:05:49.360> fish<00:05:49.919> the 00:05:50.070 --> 00:05:50.080 align:start position:0% 4.95 and 5.05 kilograms of fish the 00:05:50.080 --> 00:05:53.749 align:start position:0% 4.95 and 5.05 kilograms of fish the accepted<00:05:51.280> and<00:05:51.520> acceptable<00:05:52.240> variation 00:05:53.749 --> 00:05:53.759 align:start position:0% accepted and acceptable variation 00:05:53.759 --> 00:05:56.629 align:start position:0% accepted and acceptable variation we<00:05:53.919> can<00:05:54.080> use<00:05:54.400> our<00:05:54.560> formula<00:05:55.280> if<00:05:55.440> we<00:05:55.759> first<00:05:56.240> work 00:05:56.629 --> 00:05:56.639 align:start position:0% we can use our formula if we first work 00:05:56.639 --> 00:06:00.150 align:start position:0% we can use our formula if we first work out<00:05:57.280> what<00:05:57.680> k<00:05:58.080> standard<00:05:58.560> deviations<00:05:59.600> are<00:06:00.000> in 00:06:00.150 --> 00:06:00.160 align:start position:0% out what k standard deviations are in 00:06:00.160 --> 00:06:03.110 align:start position:0% out what k standard deviations are in this<00:06:00.400> particular<00:06:01.039> case 00:06:03.110 --> 00:06:03.120 align:start position:0% this particular case 00:06:03.120 --> 00:06:06.070 align:start position:0% this particular case now<00:06:03.280> the<00:06:03.520> weight<00:06:03.840> in<00:06:04.240> kilograms<00:06:05.440> away<00:06:05.840> from 00:06:06.070 --> 00:06:06.080 align:start position:0% now the weight in kilograms away from 00:06:06.080 --> 00:06:09.230 align:start position:0% now the weight in kilograms away from the<00:06:06.240> mean<00:06:06.560> that's<00:06:06.880> acceptable<00:06:07.919> is 00:06:09.230 --> 00:06:09.240 align:start position:0% the mean that's acceptable is 00:06:09.240 --> 00:06:12.390 align:start position:0% the mean that's acceptable is 5.05<00:06:10.479> minus<00:06:11.039> 5 00:06:12.390 --> 00:06:12.400 align:start position:0% 5.05 minus 5 00:06:12.400 --> 00:06:13.350 align:start position:0% 5.05 minus 5 or 00:06:13.350 --> 00:06:13.360 align:start position:0% or 00:06:13.360 --> 00:06:16.469 align:start position:0% or 5<00:06:13.919> minus<00:06:14.400> 4.95 00:06:16.469 --> 00:06:16.479 align:start position:0% 5 minus 4.95 00:06:16.479 --> 00:06:17.749 align:start position:0% 5 minus 4.95 which<00:06:16.720> equals 00:06:17.749 --> 00:06:17.759 align:start position:0% which equals 00:06:17.759 --> 00:06:20.870 align:start position:0% which equals 0.05 00:06:20.870 --> 00:06:20.880 align:start position:0% 00:06:20.880 --> 00:06:22.950 align:start position:0% we<00:06:21.039> know<00:06:21.199> that<00:06:21.360> the<00:06:21.440> standard<00:06:21.840> deviation<00:06:22.560> is 00:06:22.950 --> 00:06:22.960 align:start position:0% we know that the standard deviation is 00:06:22.960 --> 00:06:24.950 align:start position:0% we know that the standard deviation is 0.01 00:06:24.950 --> 00:06:24.960 align:start position:0% 0.01 00:06:24.960 --> 00:06:26.510 align:start position:0% 0.01 so<00:06:25.199> dividing 00:06:26.510 --> 00:06:26.520 align:start position:0% so dividing 00:06:26.520 --> 00:06:30.309 align:start position:0% so dividing 0.05<00:06:27.840> by<00:06:28.520> 0.01 00:06:30.309 --> 00:06:30.319 align:start position:0% 0.05 by 0.01 00:06:30.319 --> 00:06:35.029 align:start position:0% 0.05 by 0.01 tells<00:06:30.639> us<00:06:30.800> that<00:06:31.039> in<00:06:31.199> our<00:06:31.440> case<00:06:32.240> k<00:06:33.039> equals<00:06:34.080> 5 00:06:35.029 --> 00:06:35.039 align:start position:0% tells us that in our case k equals 5 00:06:35.039 --> 00:06:39.270 align:start position:0% tells us that in our case k equals 5 standard<00:06:35.440> deviations<00:06:36.240> from<00:06:36.479> the<00:06:36.639> mean 00:06:39.270 --> 00:06:39.280 align:start position:0% 00:06:39.280 --> 00:06:42.230 align:start position:0% so<00:06:39.520> now<00:06:39.759> using<00:06:40.080> our<00:06:40.319> formula 00:06:42.230 --> 00:06:42.240 align:start position:0% so now using our formula 00:06:42.240 --> 00:06:46.469 align:start position:0% so now using our formula 1<00:06:42.880> minus<00:06:43.440> 1<00:06:43.680> over<00:06:43.919> k<00:06:44.319> squared<00:06:44.960> gives<00:06:45.280> us<00:06:45.919> 1 00:06:46.469 --> 00:06:46.479 align:start position:0% 1 minus 1 over k squared gives us 1 00:06:46.479 --> 00:06:49.430 align:start position:0% 1 minus 1 over k squared gives us 1 minus<00:06:47.120> 1<00:06:47.360> over<00:06:47.680> 5<00:06:48.160> squared 00:06:49.430 --> 00:06:49.440 align:start position:0% minus 1 over 5 squared 00:06:49.440 --> 00:06:50.710 align:start position:0% minus 1 over 5 squared which<00:06:49.759> equals 00:06:50.710 --> 00:06:50.720 align:start position:0% which equals 00:06:50.720 --> 00:06:51.589 align:start position:0% which equals 1 00:06:51.589 --> 00:06:51.599 align:start position:0% 1 00:06:51.599 --> 00:06:52.790 align:start position:0% 1 minus 00:06:52.790 --> 00:06:52.800 align:start position:0% minus 00:06:52.800 --> 00:06:55.430 align:start position:0% minus 1<00:06:53.039> over<00:06:53.280> 25 00:06:55.430 --> 00:06:55.440 align:start position:0% 1 over 25 00:06:55.440 --> 00:06:57.270 align:start position:0% 1 over 25 which<00:06:55.680> equals 00:06:57.270 --> 00:06:57.280 align:start position:0% which equals 00:06:57.280 --> 00:06:58.150 align:start position:0% which equals 1 00:06:58.150 --> 00:06:58.160 align:start position:0% 1 00:06:58.160 --> 00:06:59.189 align:start position:0% 1 minus 00:06:59.189 --> 00:06:59.199 align:start position:0% minus 00:06:59.199 --> 00:07:01.430 align:start position:0% minus 0.04 00:07:01.430 --> 00:07:01.440 align:start position:0% 0.04 00:07:01.440 --> 00:07:04.790 align:start position:0% 0.04 which<00:07:01.759> equals<00:07:02.160> 0.96 00:07:04.790 --> 00:07:04.800 align:start position:0% which equals 0.96 00:07:04.800 --> 00:07:08.390 align:start position:0% which equals 0.96 so<00:07:05.039> at<00:07:05.199> least<00:07:05.599> 96<00:07:06.639> of<00:07:06.800> the<00:07:06.880> boxes<00:07:07.520> must<00:07:07.759> be 00:07:08.390 --> 00:07:08.400 align:start position:0% so at least 96 of the boxes must be 00:07:08.400 --> 00:07:12.950 align:start position:0% so at least 96 of the boxes must be between<00:07:09.080> 4.95<00:07:10.560> and<00:07:11.000> 5.05<00:07:12.000> kilograms<00:07:12.800> in 00:07:12.950 --> 00:07:12.960 align:start position:0% between 4.95 and 5.05 kilograms in 00:07:12.960 --> 00:07:20.390 align:start position:0% between 4.95 and 5.05 kilograms in weight 00:07:20.390 --> 00:07:20.400 align:start position:0% 00:07:20.400 --> 00:07:22.309 align:start position:0% so<00:07:20.560> we<00:07:20.720> can<00:07:20.880> agree<00:07:21.199> on<00:07:21.440> any<00:07:21.759> range<00:07:22.160> of 00:07:22.309 --> 00:07:22.319 align:start position:0% so we can agree on any range of 00:07:22.319 --> 00:07:24.230 align:start position:0% so we can agree on any range of tolerance<00:07:22.800> we<00:07:23.039> like 00:07:24.230 --> 00:07:24.240 align:start position:0% tolerance we like 00:07:24.240 --> 00:07:26.710 align:start position:0% tolerance we like and<00:07:24.400> we'll<00:07:24.639> know<00:07:24.880> the<00:07:25.039> proportion<00:07:25.520> of<00:07:25.680> boxes 00:07:26.710 --> 00:07:26.720 align:start position:0% and we'll know the proportion of boxes 00:07:26.720 --> 00:07:28.629 align:start position:0% and we'll know the proportion of boxes bound<00:07:26.960> to<00:07:27.199> fall<00:07:27.520> within<00:07:27.840> that<00:07:28.080> tolerance 00:07:28.629 --> 00:07:28.639 align:start position:0% bound to fall within that tolerance 00:07:28.639 --> 00:07:31.350 align:start position:0% bound to fall within that tolerance range<00:07:30.080> you<00:07:30.240> might<00:07:30.479> think 00:07:31.350 --> 00:07:31.360 align:start position:0% range you might think 00:07:31.360 --> 00:07:33.029 align:start position:0% range you might think that<00:07:31.520> we<00:07:31.680> shouldn't<00:07:31.919> have<00:07:32.240> any<00:07:32.560> degree<00:07:32.880> of 00:07:33.029 --> 00:07:33.039 align:start position:0% that we shouldn't have any degree of 00:07:33.039 --> 00:07:34.550 align:start position:0% that we shouldn't have any degree of tolerance<00:07:33.520> at<00:07:33.759> all 00:07:34.550 --> 00:07:34.560 align:start position:0% tolerance at all 00:07:34.560 --> 00:07:36.469 align:start position:0% tolerance at all but<00:07:34.720> that<00:07:34.960> requires<00:07:35.599> highly<00:07:35.919> expensive 00:07:36.469 --> 00:07:36.479 align:start position:0% but that requires highly expensive 00:07:36.479 --> 00:07:39.589 align:start position:0% but that requires highly expensive machinery<00:07:37.520> so<00:07:37.680> it<00:07:37.759> may<00:07:37.919> be<00:07:38.160> more<00:07:38.400> efficient 00:07:39.589 --> 00:07:39.599 align:start position:0% machinery so it may be more efficient 00:07:39.599 --> 00:07:42.309 align:start position:0% machinery so it may be more efficient to<00:07:39.759> have<00:07:40.080> some<00:07:40.400> small<00:07:40.800> degree<00:07:41.440> of<00:07:41.599> tolerance 00:07:42.309 --> 00:07:42.319 align:start position:0% to have some small degree of tolerance 00:07:42.319 --> 00:07:45.589 align:start position:0% to have some small degree of tolerance in<00:07:42.400> the<00:07:42.560> size<00:07:42.800> of<00:07:42.880> the<00:07:42.960> boxes 00:07:45.589 --> 00:07:45.599 align:start position:0% in the size of the boxes 00:07:45.599 --> 00:07:47.510 align:start position:0% in the size of the boxes but<00:07:45.759> the<00:07:45.919> principle<00:07:46.479> is<00:07:46.639> a<00:07:46.720> far<00:07:47.039> wider 00:07:47.510 --> 00:07:47.520 align:start position:0% but the principle is a far wider 00:07:47.520 --> 00:07:48.869 align:start position:0% but the principle is a far wider applicability 00:07:48.869 --> 00:07:48.879 align:start position:0% applicability 00:07:48.879 --> 00:07:50.790 align:start position:0% applicability than<00:07:49.039> to<00:07:49.280> fishing 00:07:50.790 --> 00:07:50.800 align:start position:0% than to fishing 00:07:50.800 --> 00:07:52.390 align:start position:0% than to fishing you're<00:07:51.039> the<00:07:51.120> manager<00:07:51.520> of<00:07:51.680> a<00:07:51.759> car<00:07:52.000> rental 00:07:52.390 --> 00:07:52.400 align:start position:0% you're the manager of a car rental 00:07:52.400 --> 00:07:54.629 align:start position:0% you're the manager of a car rental company<00:07:53.280> and<00:07:53.360> you<00:07:53.520> know<00:07:53.759> you<00:07:53.919> can't<00:07:54.160> survive 00:07:54.629 --> 00:07:54.639 align:start position:0% company and you know you can't survive 00:07:54.639 --> 00:07:56.869 align:start position:0% company and you know you can't survive if<00:07:54.800> the<00:07:54.960> cars<00:07:55.280> are<00:07:55.360> standing<00:07:55.840> idle 00:07:56.869 --> 00:07:56.879 align:start position:0% if the cars are standing idle 00:07:56.879 --> 00:07:58.710 align:start position:0% if the cars are standing idle or<00:07:57.039> if<00:07:57.199> you<00:07:57.280> have<00:07:57.520> too<00:07:57.759> few<00:07:58.000> cars<00:07:58.319> to<00:07:58.479> meet 00:07:58.710 --> 00:07:58.720 align:start position:0% or if you have too few cars to meet 00:07:58.720 --> 00:08:00.629 align:start position:0% or if you have too few cars to meet demand 00:08:00.629 --> 00:08:00.639 align:start position:0% demand 00:08:00.639 --> 00:08:02.950 align:start position:0% demand you<00:08:00.800> know<00:08:00.960> the<00:08:01.199> mean<00:08:01.599> average<00:08:02.000> number<00:08:02.319> of<00:08:02.560> cars 00:08:02.950 --> 00:08:02.960 align:start position:0% you know the mean average number of cars 00:08:02.960 --> 00:08:06.070 align:start position:0% you know the mean average number of cars per<00:08:03.199> month<00:08:03.680> that<00:08:03.840> you<00:08:04.080> rent<00:08:04.400> out 00:08:06.070 --> 00:08:06.080 align:start position:0% per month that you rent out 00:08:06.080 --> 00:08:08.469 align:start position:0% per month that you rent out this<00:08:06.319> amount<00:08:06.639> of<00:08:06.800> varies<00:08:07.199> of<00:08:07.360> course 00:08:08.469 --> 00:08:08.479 align:start position:0% this amount of varies of course 00:08:08.479 --> 00:08:10.390 align:start position:0% this amount of varies of course but<00:08:08.639> you<00:08:08.800> can<00:08:08.960> know<00:08:09.199> the<00:08:09.360> standard<00:08:09.759> deviation 00:08:10.390 --> 00:08:10.400 align:start position:0% but you can know the standard deviation 00:08:10.400 --> 00:08:11.749 align:start position:0% but you can know the standard deviation as<00:08:10.560> well 00:08:11.749 --> 00:08:11.759 align:start position:0% as well 00:08:11.759 --> 00:08:13.749 align:start position:0% as well then<00:08:12.000> you<00:08:12.160> can<00:08:12.400> use<00:08:12.720> chebychev's<00:08:13.360> theorem 00:08:13.749 --> 00:08:13.759 align:start position:0% then you can use chebychev's theorem 00:08:13.759 --> 00:08:15.430 align:start position:0% then you can use chebychev's theorem exactly<00:08:14.319> as<00:08:14.400> we<00:08:14.560> did<00:08:14.720> for<00:08:14.879> the<00:08:15.039> fishing 00:08:15.430 --> 00:08:15.440 align:start position:0% exactly as we did for the fishing 00:08:15.440 --> 00:08:16.469 align:start position:0% exactly as we did for the fishing industry 00:08:16.469 --> 00:08:16.479 align:start position:0% industry 00:08:16.479 --> 00:08:18.469 align:start position:0% industry to<00:08:16.639> determine<00:08:17.120> the<00:08:17.440> least<00:08:17.759> percentage<00:08:18.319> of 00:08:18.469 --> 00:08:18.479 align:start position:0% to determine the least percentage of 00:08:18.479 --> 00:08:21.189 align:start position:0% to determine the least percentage of months<00:08:19.199> that<00:08:19.360> you'll<00:08:19.520> be<00:08:19.759> renting<00:08:20.240> any<00:08:20.479> given 00:08:21.189 --> 00:08:21.199 align:start position:0% months that you'll be renting any given 00:08:21.199 --> 00:08:25.510 align:start position:0% months that you'll be renting any given minimum<00:08:21.840> and<00:08:22.000> maximum<00:08:22.639> amount<00:08:22.960> of<00:08:23.199> cars 00:08:25.510 --> 00:08:25.520 align:start position:0% minimum and maximum amount of cars 00:08:25.520 --> 00:08:27.510 align:start position:0% minimum and maximum amount of cars many<00:08:25.840> retailers<00:08:26.560> especially<00:08:27.039> clothing 00:08:27.510 --> 00:08:27.520 align:start position:0% many retailers especially clothing 00:08:27.520 --> 00:08:30.230 align:start position:0% many retailers especially clothing retailers<00:08:28.319> have<00:08:28.560> a<00:08:28.639> refund<00:08:29.039> policy 00:08:30.230 --> 00:08:30.240 align:start position:0% retailers have a refund policy 00:08:30.240 --> 00:08:31.909 align:start position:0% retailers have a refund policy take<00:08:30.400> the<00:08:30.560> stuff<00:08:30.879> back<00:08:31.120> in<00:08:31.199> mint<00:08:31.440> condition 00:08:31.909 --> 00:08:31.919 align:start position:0% take the stuff back in mint condition 00:08:31.919 --> 00:08:33.990 align:start position:0% take the stuff back in mint condition within<00:08:32.240> a<00:08:32.320> certain<00:08:32.560> period<00:08:32.959> of<00:08:33.039> time<00:08:33.760> and<00:08:33.919> you 00:08:33.990 --> 00:08:34.000 align:start position:0% within a certain period of time and you 00:08:34.000 --> 00:08:35.990 align:start position:0% within a certain period of time and you can<00:08:34.159> have<00:08:34.320> your<00:08:34.479> money<00:08:34.719> back 00:08:35.990 --> 00:08:36.000 align:start position:0% can have your money back 00:08:36.000 --> 00:08:38.870 align:start position:0% can have your money back but<00:08:36.159> that<00:08:36.479> costs<00:08:36.719> something<00:08:37.120> to<00:08:37.279> the<00:08:37.440> store 00:08:38.870 --> 00:08:38.880 align:start position:0% but that costs something to the store 00:08:38.880 --> 00:08:41.190 align:start position:0% but that costs something to the store if<00:08:39.039> you're<00:08:39.200> the<00:08:39.360> manager<00:08:39.919> of<00:08:40.000> the<00:08:40.159> store<00:08:41.039> and 00:08:41.190 --> 00:08:41.200 align:start position:0% if you're the manager of the store and 00:08:41.200 --> 00:08:43.350 align:start position:0% if you're the manager of the store and you<00:08:41.360> know<00:08:41.519> the<00:08:41.760> average<00:08:42.159> number<00:08:42.560> of<00:08:42.640> returns<00:08:43.200> a 00:08:43.350 --> 00:08:43.360 align:start position:0% you know the average number of returns a 00:08:43.360 --> 00:08:45.829 align:start position:0% you know the average number of returns a day<00:08:44.080> and<00:08:44.240> you<00:08:44.320> know<00:08:44.480> the<00:08:44.640> standard<00:08:45.120> deviation 00:08:45.829 --> 00:08:45.839 align:start position:0% day and you know the standard deviation 00:08:45.839 --> 00:08:46.790 align:start position:0% day and you know the standard deviation as<00:08:46.080> well 00:08:46.790 --> 00:08:46.800 align:start position:0% as well 00:08:46.800 --> 00:08:48.870 align:start position:0% as well then<00:08:47.040> you<00:08:47.120> can<00:08:47.360> use<00:08:47.600> the<00:08:47.760> chebychev<00:08:48.320> theorem 00:08:48.870 --> 00:08:48.880 align:start position:0% then you can use the chebychev theorem 00:08:48.880 --> 00:08:51.829 align:start position:0% then you can use the chebychev theorem to<00:08:49.040> give<00:08:49.279> you<00:08:49.440> a<00:08:49.600> good<00:08:49.839> idea<00:08:50.720> of<00:08:50.880> the<00:08:51.200> size<00:08:51.680> of 00:08:51.829 --> 00:08:51.839 align:start position:0% to give you a good idea of the size of 00:08:51.839 --> 00:08:53.750 align:start position:0% to give you a good idea of the size of the<00:08:52.080> problem<00:08:52.800> that<00:08:52.959> you'll<00:08:53.200> have<00:08:53.360> to<00:08:53.519> deal 00:08:53.750 --> 00:08:53.760 align:start position:0% the problem that you'll have to deal 00:08:53.760 --> 00:08:56.949 align:start position:0% the problem that you'll have to deal with 00:08:56.949 --> 00:08:56.959 align:start position:0% 00:08:56.959 --> 00:08:59.509 align:start position:0% at<00:08:57.200> marrits<00:08:58.160> chebyshev<00:08:58.800> is<00:08:58.880> one<00:08:59.120> of<00:08:59.279> many 00:08:59.509 --> 00:08:59.519 align:start position:0% at marrits chebyshev is one of many 00:08:59.519 --> 00:09:01.750 align:start position:0% at marrits chebyshev is one of many statistical<00:09:00.240> tools<00:09:01.040> that<00:09:01.200> allows<00:09:01.600> this 00:09:01.750 --> 00:09:01.760 align:start position:0% statistical tools that allows this 00:09:01.760 --> 00:09:03.750 align:start position:0% statistical tools that allows this company<00:09:02.240> to<00:09:02.399> provide<00:09:02.800> its<00:09:03.040> clients<00:09:03.519> with 00:09:03.750 --> 00:09:03.760 align:start position:0% company to provide its clients with 00:09:03.760 --> 00:09:06.230 align:start position:0% company to provide its clients with insights<00:09:04.399> into<00:09:04.640> the<00:09:04.800> products<00:09:05.279> and<00:09:05.440> services 00:09:06.230 --> 00:09:06.240 align:start position:0% insights into the products and services 00:09:06.240 --> 00:09:09.190 align:start position:0% insights into the products and services in<00:09:06.399> the<00:09:06.480> markets<00:09:07.040> in<00:09:07.120> which<00:09:07.360> they<00:09:07.600> operate 00:09:09.190 --> 00:09:09.200 align:start position:0% in the markets in which they operate 00:09:09.200 --> 00:09:12.310 align:start position:0% in the markets in which they operate all<00:09:09.440> clients<00:09:09.920> are<00:09:10.240> measuring<00:09:11.200> key<00:09:11.600> factors 00:09:12.310 --> 00:09:12.320 align:start position:0% all clients are measuring key factors 00:09:12.320 --> 00:09:14.870 align:start position:0% all clients are measuring key factors and<00:09:12.480> they're<00:09:12.880> interested<00:09:13.440> in<00:09:13.680> exploring 00:09:14.870 --> 00:09:14.880 align:start position:0% and they're interested in exploring 00:09:14.880 --> 00:09:16.470 align:start position:0% and they're interested in exploring what<00:09:15.120> they<00:09:15.360> should<00:09:15.600> improve<00:09:16.000> because<00:09:16.320> it 00:09:16.470 --> 00:09:16.480 align:start position:0% what they should improve because it 00:09:16.480 --> 00:09:18.150 align:start position:0% what they should improve because it isn't<00:09:16.880> always 00:09:18.150 --> 00:09:18.160 align:start position:0% isn't always 00:09:18.160 --> 00:09:20.310 align:start position:0% isn't always their<00:09:18.399> perception<00:09:19.360> they<00:09:19.600> may<00:09:19.920> think<00:09:20.240> the 00:09:20.310 --> 00:09:20.320 align:start position:0% their perception they may think the 00:09:20.320 --> 00:09:22.470 align:start position:0% their perception they may think the customer<00:09:20.800> wants<00:09:21.040> something<00:09:21.760> the<00:09:22.000> customer 00:09:22.470 --> 00:09:22.480 align:start position:0% customer wants something the customer 00:09:22.480 --> 00:09:24.870 align:start position:0% customer wants something the customer may<00:09:22.640> want<00:09:22.800> something<00:09:23.120> different 00:09:24.870 --> 00:09:24.880 align:start position:0% may want something different 00:09:24.880 --> 00:09:27.990 align:start position:0% may want something different this<00:09:25.120> is<00:09:25.519> part<00:09:25.839> of<00:09:26.000> our<00:09:26.320> call<00:09:26.640> center 00:09:27.990 --> 00:09:28.000 align:start position:0% this is part of our call center 00:09:28.000 --> 00:09:31.110 align:start position:0% this is part of our call center we're<00:09:28.480> actually<00:09:29.519> speaking<00:09:30.240> to<00:09:30.399> the<00:09:30.560> customer 00:09:31.110 --> 00:09:31.120 align:start position:0% we're actually speaking to the customer 00:09:31.120 --> 00:09:33.269 align:start position:0% we're actually speaking to the customer we're<00:09:31.440> collecting<00:09:32.000> the<00:09:32.160> data 00:09:33.269 --> 00:09:33.279 align:start position:0% we're collecting the data 00:09:33.279 --> 00:09:35.350 align:start position:0% we're collecting the data but<00:09:33.440> we<00:09:33.600> have<00:09:33.760> to<00:09:33.839> be<00:09:34.000> very<00:09:34.320> careful<00:09:34.880> how<00:09:35.120> they 00:09:35.350 --> 00:09:35.360 align:start position:0% but we have to be very careful how they 00:09:35.360 --> 00:09:37.350 align:start position:0% but we have to be very careful how they collect<00:09:35.839> it<00:09:36.320> they<00:09:36.480> have<00:09:36.640> to<00:09:36.720> be<00:09:36.880> carefully 00:09:37.350 --> 00:09:37.360 align:start position:0% collect it they have to be carefully 00:09:37.360 --> 00:09:38.949 align:start position:0% collect it they have to be carefully trained<00:09:37.680> and<00:09:37.839> prepared 00:09:38.949 --> 00:09:38.959 align:start position:0% trained and prepared 00:09:38.959 --> 00:09:41.670 align:start position:0% trained and prepared the<00:09:39.120> questions<00:09:39.680> mustn't<00:09:40.320> introduce<00:09:40.880> bias 00:09:41.670 --> 00:09:41.680 align:start position:0% the questions mustn't introduce bias 00:09:41.680 --> 00:09:44.630 align:start position:0% the questions mustn't introduce bias there<00:09:41.920> must<00:09:42.240> be<00:09:42.800> nothing<00:09:43.279> written<00:09:43.760> or<00:09:44.080> implied 00:09:44.630 --> 00:09:44.640 align:start position:0% there must be nothing written or implied 00:09:44.640 --> 00:09:46.070 align:start position:0% there must be nothing written or implied in<00:09:44.720> the<00:09:44.880> voice 00:09:46.070 --> 00:09:46.080 align:start position:0% in the voice 00:09:46.080 --> 00:09:47.829 align:start position:0% in the voice that<00:09:46.399> tells<00:09:46.720> that<00:09:46.959> person<00:09:47.279> how<00:09:47.440> they<00:09:47.600> should 00:09:47.829 --> 00:09:47.839 align:start position:0% that tells that person how they should 00:09:47.839 --> 00:09:48.829 align:start position:0% that tells that person how they should answer<00:09:48.240> the 00:09:48.829 --> 00:09:48.839 align:start position:0% answer the 00:09:48.839 --> 00:09:52.150 align:start position:0% answer the question<00:09:49.839> they<00:09:50.240> are<00:09:50.959> entering<00:09:51.839> all<00:09:52.000> of<00:09:52.080> the 00:09:52.150 --> 00:09:52.160 align:start position:0% question they are entering all of the 00:09:52.160 --> 00:09:54.630 align:start position:0% question they are entering all of the data<00:09:52.480> that<00:09:52.640> they<00:09:52.800> collect<00:09:53.200> into<00:09:53.440> the<00:09:53.680> system 00:09:54.630 --> 00:09:54.640 align:start position:0% data that they collect into the system 00:09:54.640 --> 00:09:57.269 align:start position:0% data that they collect into the system they're<00:09:54.959> creating<00:09:55.519> the<00:09:55.760> stats 00:09:57.269 --> 00:09:57.279 align:start position:0% they're creating the stats 00:09:57.279 --> 00:09:58.790 align:start position:0% they're creating the stats now<00:09:57.440> your<00:09:57.600> views<00:09:57.760> and<00:09:57.839> opinions<00:09:58.320> will<00:09:58.480> be<00:09:58.560> used 00:09:58.790 --> 00:09:58.800 align:start position:0% now your views and opinions will be used 00:09:58.800 --> 00:10:00.150 align:start position:0% now your views and opinions will be used only<00:09:59.200> in<00:09:59.360> this 00:10:00.150 --> 00:10:00.160 align:start position:0% only in this 00:10:00.160 --> 00:10:02.310 align:start position:0% only in this statistical<00:10:00.800> format<00:10:01.680> this<00:10:01.839> call<00:10:02.079> will<00:10:02.240> be 00:10:02.310 --> 00:10:02.320 align:start position:0% statistical format this call will be 00:10:02.320 --> 00:10:03.750 align:start position:0% statistical format this call will be recorded<00:10:02.720> and<00:10:02.800> may<00:10:02.959> be<00:10:03.040> monitored<00:10:03.440> though<00:10:03.600> for 00:10:03.750 --> 00:10:03.760 align:start position:0% recorded and may be monitored though for 00:10:03.760 --> 00:10:05.430 align:start position:0% recorded and may be monitored though for quality<00:10:04.079> control<00:10:04.399> purposes 00:10:05.430 --> 00:10:05.440 align:start position:0% quality control purposes 00:10:05.440 --> 00:10:07.670 align:start position:0% quality control purposes not<00:10:05.600> only<00:10:05.839> does<00:10:06.079> merits<00:10:06.560> collect<00:10:06.959> statistics 00:10:07.670 --> 00:10:07.680 align:start position:0% not only does merits collect statistics 00:10:07.680 --> 00:10:09.350 align:start position:0% not only does merits collect statistics for<00:10:07.839> their<00:10:08.079> clients 00:10:09.350 --> 00:10:09.360 align:start position:0% for their clients 00:10:09.360 --> 00:10:11.829 align:start position:0% for their clients merits<00:10:09.760> also<00:10:10.079> collects<00:10:10.560> data<00:10:11.200> to<00:10:11.360> monitor 00:10:11.829 --> 00:10:11.839 align:start position:0% merits also collects data to monitor 00:10:11.839 --> 00:10:14.630 align:start position:0% merits also collects data to monitor their<00:10:12.079> own<00:10:12.320> productivity<00:10:13.120> and<00:10:13.360> quality 00:10:14.630 --> 00:10:14.640 align:start position:0% their own productivity and quality 00:10:14.640 --> 00:10:17.350 align:start position:0% their own productivity and quality project<00:10:15.040> supervisors<00:10:15.760> are<00:10:15.920> aware<00:10:16.480> of<00:10:16.880> every 00:10:17.350 --> 00:10:17.360 align:start position:0% project supervisors are aware of every 00:10:17.360 --> 00:10:19.269 align:start position:0% project supervisors are aware of every phone<00:10:17.680> call<00:10:17.920> that's<00:10:18.160> happening<00:10:18.720> every<00:10:18.959> person 00:10:19.269 --> 00:10:19.279 align:start position:0% phone call that's happening every person 00:10:19.279 --> 00:10:21.590 align:start position:0% phone call that's happening every person that's<00:10:19.440> working<00:10:19.920> for<00:10:20.079> them<00:10:20.720> they're<00:10:21.040> watching 00:10:21.590 --> 00:10:21.600 align:start position:0% that's working for them they're watching 00:10:21.600 --> 00:10:24.630 align:start position:0% that's working for them they're watching the<00:10:21.760> data<00:10:22.320> being<00:10:22.640> collected<00:10:23.279> on<00:10:23.519> screen<00:10:24.320> they 00:10:24.630 --> 00:10:24.640 align:start position:0% the data being collected on screen they 00:10:24.640 --> 00:10:25.509 align:start position:0% the data being collected on screen they can 00:10:25.509 --> 00:10:25.519 align:start position:0% can 00:10:25.519 --> 00:10:28.310 align:start position:0% can get<00:10:25.760> statistical<00:10:26.399> data<00:10:26.800> up<00:10:26.959> on<00:10:27.120> screen<00:10:27.680> today 00:10:28.310 --> 00:10:28.320 align:start position:0% get statistical data up on screen today 00:10:28.320 --> 00:10:31.990 align:start position:0% get statistical data up on screen today we<00:10:28.560> made<00:10:29.120> x<00:10:29.440> amount<00:10:29.839> of<00:10:30.000> calls<00:10:30.959> down<00:10:31.279> to<00:10:31.519> today 00:10:31.990 --> 00:10:32.000 align:start position:0% we made x amount of calls down to today 00:10:32.000 --> 00:10:35.190 align:start position:0% we made x amount of calls down to today ken<00:10:32.640> made<00:10:33.200> x<00:10:33.519> amount<00:10:33.839> of<00:10:34.000> calls 00:10:35.190 --> 00:10:35.200 align:start position:0% ken made x amount of calls 00:10:35.200 --> 00:10:37.030 align:start position:0% ken made x amount of calls where<00:10:35.360> they<00:10:35.519> were<00:10:35.680> made<00:10:36.000> to<00:10:36.480> and<00:10:36.640> what<00:10:36.800> their 00:10:37.030 --> 00:10:37.040 align:start position:0% where they were made to and what their 00:10:37.040 --> 00:10:38.470 align:start position:0% where they were made to and what their outcomes<00:10:37.600> were 00:10:38.470 --> 00:10:38.480 align:start position:0% outcomes were 00:10:38.480 --> 00:10:40.550 align:start position:0% outcomes were so<00:10:38.959> not<00:10:39.200> only<00:10:39.440> are<00:10:39.519> we<00:10:39.680> entering<00:10:40.079> all<00:10:40.160> the<00:10:40.240> data 00:10:40.550 --> 00:10:40.560 align:start position:0% so not only are we entering all the data 00:10:40.560 --> 00:10:43.030 align:start position:0% so not only are we entering all the data that<00:10:40.720> we<00:10:40.880> collect<00:10:41.440> in<00:10:41.680> here<00:10:42.320> we're<00:10:42.560> also 00:10:43.030 --> 00:10:43.040 align:start position:0% that we collect in here we're also 00:10:43.040 --> 00:10:45.550 align:start position:0% that we collect in here we're also collecting<00:10:43.600> statistics<00:10:44.560> that<00:10:44.880> drive 00:10:45.550 --> 00:10:45.560 align:start position:0% collecting statistics that drive 00:10:45.560 --> 00:10:47.190 align:start position:0% collecting statistics that drive productivity 00:10:47.190 --> 00:10:47.200 align:start position:0% productivity 00:10:47.200 --> 00:10:48.870 align:start position:0% productivity and<00:10:47.279> the<00:10:47.440> drive<00:10:47.839> quality 00:10:48.870 --> 00:10:48.880 align:start position:0% and the drive quality 00:10:48.880 --> 00:10:50.550 align:start position:0% and the drive quality that<00:10:49.040> make<00:10:49.279> a<00:10:49.360> good<00:10:49.600> interview 00:10:50.550 --> 00:10:50.560 align:start position:0% that make a good interview 00:10:50.560 --> 00:10:53.030 align:start position:0% that make a good interview one<00:10:50.880> key<00:10:51.200> indicator<00:10:51.760> that<00:10:51.920> they<00:10:52.160> track 00:10:53.030 --> 00:10:53.040 align:start position:0% one key indicator that they track 00:10:53.040 --> 00:10:54.790 align:start position:0% one key indicator that they track is<00:10:53.200> the<00:10:53.360> amount<00:10:53.680> of<00:10:53.920> time<00:10:54.160> it<00:10:54.320> takes<00:10:54.640> to 00:10:54.790 --> 00:10:54.800 align:start position:0% is the amount of time it takes to 00:10:54.800 --> 00:10:57.110 align:start position:0% is the amount of time it takes to interview<00:10:55.279> each<00:10:55.600> customer 00:10:57.110 --> 00:10:57.120 align:start position:0% interview each customer 00:10:57.120 --> 00:10:59.990 align:start position:0% interview each customer this<00:10:57.360> time<00:10:57.600> varies<00:10:58.079> greatly<00:10:59.040> but<00:10:59.279> by<00:10:59.519> using 00:10:59.990 --> 00:11:00.000 align:start position:0% this time varies greatly but by using 00:11:00.000 --> 00:11:02.150 align:start position:0% this time varies greatly but by using the<00:11:00.160> mean<00:11:00.480> average<00:11:01.040> time 00:11:02.150 --> 00:11:02.160 align:start position:0% the mean average time 00:11:02.160 --> 00:11:04.949 align:start position:0% the mean average time and<00:11:02.320> the<00:11:02.560> standard<00:11:03.120> deviation<00:11:03.920> of<00:11:04.000> that<00:11:04.320> time 00:11:04.949 --> 00:11:04.959 align:start position:0% and the standard deviation of that time 00:11:04.959 --> 00:11:07.350 align:start position:0% and the standard deviation of that time merits<00:11:05.360> can<00:11:05.600> specify<00:11:06.240> the<00:11:06.480> time<00:11:06.800> frame<00:11:07.200> for 00:11:07.350 --> 00:11:07.360 align:start position:0% merits can specify the time frame for 00:11:07.360 --> 00:11:10.470 align:start position:0% merits can specify the time frame for each<00:11:07.760> call<00:11:08.399> and<00:11:08.560> use<00:11:08.800> chebyshev<00:11:09.760> to<00:11:09.920> calculate 00:11:10.470 --> 00:11:10.480 align:start position:0% each call and use chebyshev to calculate 00:11:10.480 --> 00:11:13.110 align:start position:0% each call and use chebyshev to calculate a<00:11:10.640> minimum<00:11:11.200> proportion<00:11:11.760> of<00:11:12.000> course<00:11:12.640> that<00:11:12.880> will 00:11:13.110 --> 00:11:13.120 align:start position:0% a minimum proportion of course that will 00:11:13.120 --> 00:11:15.350 align:start position:0% a minimum proportion of course that will fall<00:11:13.440> between<00:11:13.839> those<00:11:14.240> times 00:11:15.350 --> 00:11:15.360 align:start position:0% fall between those times 00:11:15.360 --> 00:11:17.829 align:start position:0% fall between those times this<00:11:15.600> kind<00:11:15.839> of<00:11:15.920> information<00:11:16.959> helps<00:11:17.279> managers 00:11:17.829 --> 00:11:17.839 align:start position:0% this kind of information helps managers 00:11:17.839 --> 00:11:20.870 align:start position:0% this kind of information helps managers control<00:11:18.320> costs<00:11:19.120> and<00:11:19.279> maximize<00:11:20.079> productivity 00:11:20.870 --> 00:11:20.880 align:start position:0% control costs and maximize productivity 00:11:20.880 --> 00:11:22.069 align:start position:0% control costs and maximize productivity and<00:11:21.040> quality 00:11:22.069 --> 00:11:22.079 align:start position:0% and quality 00:11:22.079 --> 00:11:24.949 align:start position:0% and quality with<00:11:22.320> these<00:11:23.040> and<00:11:23.279> so<00:11:23.440> many<00:11:23.760> other<00:11:24.000> examples 00:11:24.949 --> 00:11:24.959 align:start position:0% with these and so many other examples 00:11:24.959 --> 00:11:27.509 align:start position:0% with these and so many other examples it's<00:11:25.200> easy<00:11:25.519> to<00:11:25.680> see<00:11:25.920> how<00:11:26.240> chebychev<00:11:26.800> can<00:11:26.959> help 00:11:27.509 --> 00:11:27.519 align:start position:0% it's easy to see how chebychev can help 00:11:27.519 --> 00:11:48.389 align:start position:0% it's easy to see how chebychev can help more<00:11:28.079> than<00:11:28.320> just<00:11:28.560> icelandic<00:11:29.200> fish<00:11:29.519> processes 00:11:48.389 --> 00:11:48.399 align:start position:0% 00:11:48.399 --> 00:11:50.480 align:start position:0% you