<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@eacbc5b2980b474d8917e13504dedce2">
<h2 class="hd hd-2 unit-title">Introduction</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@video+block@e56e3f4bf0de4423bcf7d96fd71f26a3">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="video" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@video+block@e56e3f4bf0de4423bcf7d96fd71f26a3">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Introduction</h3>
<div
id="video_e56e3f4bf0de4423bcf7d96fd71f26a3"
class="video closed"
data-metadata='{"lmsRootURL": "https://openlearninglibrary.mit.edu", "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/40198c5a-fc71-454d-9c69-2e87a19a0131-thumbnails.0000001.jpeg?AWSAccessKeyId=ASIA4QDFFSURXWFIGXDB&Expires=1739791899&Signature=g40OcNt5WsVFJR5zFdj4UKN7nDk%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEEsaCXVzLWVhc3QtMSJHMEUCIQD3Hsj4IQCt%2Fr%2Bmag6ckrX%2Bz05qKOSobVStvJLIraYWxwIgSN%2FxDWpD9WhWCXx9V0RuFZyiD7hu4I3gkKo3AmuvUvEquwUIdBADGgw4NTkyMDU2Mzc0MTEiDE4XKq0s4AwUbqJU0SqYBc8uNddxUmE%2FBfPgneMzprjBR%2FBtNulSxv%2B0P6BCewsQofQhM5V2Y%2FqoEaSoqs1OSDrZtU2EtyczDZWpTBCXJF%2FvdDwKEoyOcrZ%2BUfTB%2Fp9EyFxkyhjA4OmL6eXwveyINIJyl2r0MEkgNpNmDn5BU%2F9SgBUjz8%2F6YepUQOgLpz8%2FIb%2BVHgjHUan5rOJrwno4O1y%2Bvf7Oa2rr20lpuERa1pLFdLs0cvotQRG8%2FHJmBl5N38xaY1ut7qtqclPZEf4td%2BTEHtqryj7%2Bqp%2FwJkUSFnQmOZK%2FxDV9KZDGJdfcVT9oRT05wLZtpjx5OFcvjj%2Fb3rIY%2FwqJCrlsRCJZTxX83gqQdfrM54Lb2L%2FPUvby9ZnXIOzAUHxN2FZ4e8aLMFkMbLGPNbP8k2wqHXzByhcSyVZK%2BrhnrL%2Btuy7HO8wSyXhMfufwK%2F1bCCH4YJi11NlHRdB4zB%2B7UPpt0S%2ByI1fzbHQZD9qc4BB9cdpEYPRw4vQwUUcuuG9nSI7aRYLaBrvEsrniDuqZIOqH6MpWP8Q1eBVCTl8i7XaKz8ve%2BhvFbNQlQ5oP3jROISuH4RiU5VMg5Fu6hhF2h2UvMFPWwfGKCFgmvbSRwB7XgUcRx8MFJJPx%2Bv8CLDilUcfW2RCtRSuFkDf3d0CI%2BfHfg%2BgdzD%2Be4o4JVDnRlU7hHO1Mjy%2FZP2TuNGgK0UM7o7QmztEs3oRGAubxFWA5YF1mgOpnF6L%2FW5MQIrrx3XaFnkZge5Z%2B2u4vdRQExqT4OzLVLZRdu2fPyXcjaN42RzVf5tSapAEtOW0xdiVcWzr%2F5fiLH0aGLPmDUscKNwc%2BfQlyAzoD%2F0ii06RmGRB1a3RNORoba3ft0VK%2FPta2v4qhLIOB8JBdeOeIPO7gh%2BAjNwUw3qzMvQY6sQEl4puM%2FZaGBlHGn4KUYp6tcO8x2QHk%2BgN9sQQTEHGSsbzXT%2Bqc%2FMs%2BH%2B9wjfhjhlJ9B4A5awqEbBxcEqESd4iYHcgy1jajeb9yuHOLinEvOi7aQ6JrXeyEgZY31U%2BeclXko8TplAqGkgx7axpvs8HWmGqutuWNXoVhEBp8o4dZm3uAVSJeMjn3X5Dm6kszD%2FrzcHW4crVZP0kVJ%2B%2B0ONYAaqqyR8ZXrbJxOYzZctD2tQs%3D", "transcriptLanguages": {"en": "English"}, "showCaptions": "true", "ytMetadataEndpoint": "", "completionEnabled": false, "streams": "", "saveStateUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@e56e3f4bf0de4423bcf7d96fd71f26a3/handler/xmodule_handler/save_user_state", "transcriptTranslationUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@e56e3f4bf0de4423bcf7d96fd71f26a3/handler/transcript/translation/__lang__", "savedVideoPosition": 0.0, "end": 0.0, "captionDataDir": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@e56e3f4bf0de4423bcf7d96fd71f26a3/handler/publish_completion", "generalSpeed": 1.0, "autoAdvance": false, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@e56e3f4bf0de4423bcf7d96fd71f26a3/handler/transcript/available_translations", "start": 0.0, "duration": 140.039, "prioritizeHls": false, "autohideHtml5": false, "saveStateEnabled": false, "autoplay": false, "transcriptLanguage": "en", "completionPercentage": 0.95, "recordedYoutubeIsAvailable": true, "speed": null, "sources": ["https://edx-video.net/40198c5a-fc71-454d-9c69-2e87a19a0131-mp4_720p.mp4", "https://edx-video.net/40198c5a-fc71-454d-9c69-2e87a19a0131.m3u8"], "ytTestTimeout": 1500, "ytApiUrl": "https://www.youtube.com/iframe_api"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="e56e3f4bf0de4423bcf7d96fd71f26a3"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@17b18ea7e5a5432992eeb4e466a89e05">
<h2 class="hd hd-2 unit-title">Motivation</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@video+block@84b436c39de049858a4965dd2bfbc2a9">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="video" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@video+block@84b436c39de049858a4965dd2bfbc2a9">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Motivation</h3>
<div
id="video_84b436c39de049858a4965dd2bfbc2a9"
class="video closed"
data-metadata='{"lmsRootURL": "https://openlearninglibrary.mit.edu", "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/2e77a123-c507-4aab-b4ff-73e31e280fa6-thumbnails.0000001.jpeg?AWSAccessKeyId=ASIA4QDFFSURXWFIGXDB&Expires=1739791899&Signature=UzfjY1dh1477RTyBi1XPCAwYX40%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEEsaCXVzLWVhc3QtMSJHMEUCIQD3Hsj4IQCt%2Fr%2Bmag6ckrX%2Bz05qKOSobVStvJLIraYWxwIgSN%2FxDWpD9WhWCXx9V0RuFZyiD7hu4I3gkKo3AmuvUvEquwUIdBADGgw4NTkyMDU2Mzc0MTEiDE4XKq0s4AwUbqJU0SqYBc8uNddxUmE%2FBfPgneMzprjBR%2FBtNulSxv%2B0P6BCewsQofQhM5V2Y%2FqoEaSoqs1OSDrZtU2EtyczDZWpTBCXJF%2FvdDwKEoyOcrZ%2BUfTB%2Fp9EyFxkyhjA4OmL6eXwveyINIJyl2r0MEkgNpNmDn5BU%2F9SgBUjz8%2F6YepUQOgLpz8%2FIb%2BVHgjHUan5rOJrwno4O1y%2Bvf7Oa2rr20lpuERa1pLFdLs0cvotQRG8%2FHJmBl5N38xaY1ut7qtqclPZEf4td%2BTEHtqryj7%2Bqp%2FwJkUSFnQmOZK%2FxDV9KZDGJdfcVT9oRT05wLZtpjx5OFcvjj%2Fb3rIY%2FwqJCrlsRCJZTxX83gqQdfrM54Lb2L%2FPUvby9ZnXIOzAUHxN2FZ4e8aLMFkMbLGPNbP8k2wqHXzByhcSyVZK%2BrhnrL%2Btuy7HO8wSyXhMfufwK%2F1bCCH4YJi11NlHRdB4zB%2B7UPpt0S%2ByI1fzbHQZD9qc4BB9cdpEYPRw4vQwUUcuuG9nSI7aRYLaBrvEsrniDuqZIOqH6MpWP8Q1eBVCTl8i7XaKz8ve%2BhvFbNQlQ5oP3jROISuH4RiU5VMg5Fu6hhF2h2UvMFPWwfGKCFgmvbSRwB7XgUcRx8MFJJPx%2Bv8CLDilUcfW2RCtRSuFkDf3d0CI%2BfHfg%2BgdzD%2Be4o4JVDnRlU7hHO1Mjy%2FZP2TuNGgK0UM7o7QmztEs3oRGAubxFWA5YF1mgOpnF6L%2FW5MQIrrx3XaFnkZge5Z%2B2u4vdRQExqT4OzLVLZRdu2fPyXcjaN42RzVf5tSapAEtOW0xdiVcWzr%2F5fiLH0aGLPmDUscKNwc%2BfQlyAzoD%2F0ii06RmGRB1a3RNORoba3ft0VK%2FPta2v4qhLIOB8JBdeOeIPO7gh%2BAjNwUw3qzMvQY6sQEl4puM%2FZaGBlHGn4KUYp6tcO8x2QHk%2BgN9sQQTEHGSsbzXT%2Bqc%2FMs%2BH%2B9wjfhjhlJ9B4A5awqEbBxcEqESd4iYHcgy1jajeb9yuHOLinEvOi7aQ6JrXeyEgZY31U%2BeclXko8TplAqGkgx7axpvs8HWmGqutuWNXoVhEBp8o4dZm3uAVSJeMjn3X5Dm6kszD%2FrzcHW4crVZP0kVJ%2B%2B0ONYAaqqyR8ZXrbJxOYzZctD2tQs%3D", "transcriptLanguages": {"en": "English"}, "showCaptions": "true", "ytMetadataEndpoint": "", "completionEnabled": false, "streams": "", "saveStateUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@84b436c39de049858a4965dd2bfbc2a9/handler/xmodule_handler/save_user_state", "transcriptTranslationUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@84b436c39de049858a4965dd2bfbc2a9/handler/transcript/translation/__lang__", "savedVideoPosition": 0.0, "end": 0.0, "captionDataDir": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@84b436c39de049858a4965dd2bfbc2a9/handler/publish_completion", "generalSpeed": 1.0, "autoAdvance": false, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@84b436c39de049858a4965dd2bfbc2a9/handler/transcript/available_translations", "start": 0.0, "duration": 303.317, "prioritizeHls": false, "autohideHtml5": false, "saveStateEnabled": false, "autoplay": false, "transcriptLanguage": "en", "completionPercentage": 0.95, "recordedYoutubeIsAvailable": true, "speed": null, "sources": ["https://edx-video.net/2e77a123-c507-4aab-b4ff-73e31e280fa6-mp4_720p.mp4", "https://edx-video.net/2e77a123-c507-4aab-b4ff-73e31e280fa6.m3u8"], "ytTestTimeout": 1500, "ytApiUrl": "https://www.youtube.com/iframe_api"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="84b436c39de049858a4965dd2bfbc2a9"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@e8e2c0f419bf44c5a4c64049395f169f">
<h2 class="hd hd-2 unit-title">The Binary Choice Model</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@video+block@91cd004a6fdd47f8ab0b5908944d7a41">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="video" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@video+block@91cd004a6fdd47f8ab0b5908944d7a41">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">The Binary Choice Model</h3>
<div
id="video_91cd004a6fdd47f8ab0b5908944d7a41"
class="video closed"
data-metadata='{"lmsRootURL": "https://openlearninglibrary.mit.edu", "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/9596bebc-2333-48c0-bc3e-14063b93d33f-thumbnails.0000001.jpeg?AWSAccessKeyId=ASIA4QDFFSURXWFIGXDB&Expires=1739791899&Signature=DqqL5eZY6n2BNM2heVAFkXDWckI%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEEsaCXVzLWVhc3QtMSJHMEUCIQD3Hsj4IQCt%2Fr%2Bmag6ckrX%2Bz05qKOSobVStvJLIraYWxwIgSN%2FxDWpD9WhWCXx9V0RuFZyiD7hu4I3gkKo3AmuvUvEquwUIdBADGgw4NTkyMDU2Mzc0MTEiDE4XKq0s4AwUbqJU0SqYBc8uNddxUmE%2FBfPgneMzprjBR%2FBtNulSxv%2B0P6BCewsQofQhM5V2Y%2FqoEaSoqs1OSDrZtU2EtyczDZWpTBCXJF%2FvdDwKEoyOcrZ%2BUfTB%2Fp9EyFxkyhjA4OmL6eXwveyINIJyl2r0MEkgNpNmDn5BU%2F9SgBUjz8%2F6YepUQOgLpz8%2FIb%2BVHgjHUan5rOJrwno4O1y%2Bvf7Oa2rr20lpuERa1pLFdLs0cvotQRG8%2FHJmBl5N38xaY1ut7qtqclPZEf4td%2BTEHtqryj7%2Bqp%2FwJkUSFnQmOZK%2FxDV9KZDGJdfcVT9oRT05wLZtpjx5OFcvjj%2Fb3rIY%2FwqJCrlsRCJZTxX83gqQdfrM54Lb2L%2FPUvby9ZnXIOzAUHxN2FZ4e8aLMFkMbLGPNbP8k2wqHXzByhcSyVZK%2BrhnrL%2Btuy7HO8wSyXhMfufwK%2F1bCCH4YJi11NlHRdB4zB%2B7UPpt0S%2ByI1fzbHQZD9qc4BB9cdpEYPRw4vQwUUcuuG9nSI7aRYLaBrvEsrniDuqZIOqH6MpWP8Q1eBVCTl8i7XaKz8ve%2BhvFbNQlQ5oP3jROISuH4RiU5VMg5Fu6hhF2h2UvMFPWwfGKCFgmvbSRwB7XgUcRx8MFJJPx%2Bv8CLDilUcfW2RCtRSuFkDf3d0CI%2BfHfg%2BgdzD%2Be4o4JVDnRlU7hHO1Mjy%2FZP2TuNGgK0UM7o7QmztEs3oRGAubxFWA5YF1mgOpnF6L%2FW5MQIrrx3XaFnkZge5Z%2B2u4vdRQExqT4OzLVLZRdu2fPyXcjaN42RzVf5tSapAEtOW0xdiVcWzr%2F5fiLH0aGLPmDUscKNwc%2BfQlyAzoD%2F0ii06RmGRB1a3RNORoba3ft0VK%2FPta2v4qhLIOB8JBdeOeIPO7gh%2BAjNwUw3qzMvQY6sQEl4puM%2FZaGBlHGn4KUYp6tcO8x2QHk%2BgN9sQQTEHGSsbzXT%2Bqc%2FMs%2BH%2B9wjfhjhlJ9B4A5awqEbBxcEqESd4iYHcgy1jajeb9yuHOLinEvOi7aQ6JrXeyEgZY31U%2BeclXko8TplAqGkgx7axpvs8HWmGqutuWNXoVhEBp8o4dZm3uAVSJeMjn3X5Dm6kszD%2FrzcHW4crVZP0kVJ%2B%2B0ONYAaqqyR8ZXrbJxOYzZctD2tQs%3D", "transcriptLanguages": {"en": "English"}, "showCaptions": "true", "ytMetadataEndpoint": "", "completionEnabled": false, "streams": "", "saveStateUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@91cd004a6fdd47f8ab0b5908944d7a41/handler/xmodule_handler/save_user_state", "transcriptTranslationUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@91cd004a6fdd47f8ab0b5908944d7a41/handler/transcript/translation/__lang__", "savedVideoPosition": 0.0, "end": 0.0, "captionDataDir": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@91cd004a6fdd47f8ab0b5908944d7a41/handler/publish_completion", "generalSpeed": 1.0, "autoAdvance": false, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@91cd004a6fdd47f8ab0b5908944d7a41/handler/transcript/available_translations", "start": 0.0, "duration": 807.706, "prioritizeHls": false, "autohideHtml5": false, "saveStateEnabled": false, "autoplay": false, "transcriptLanguage": "en", "completionPercentage": 0.95, "recordedYoutubeIsAvailable": true, "speed": null, "sources": ["https://edx-video.net/9596bebc-2333-48c0-bc3e-14063b93d33f-mp4_720p.mp4", "https://edx-video.net/9596bebc-2333-48c0-bc3e-14063b93d33f.m3u8"], "ytTestTimeout": 1500, "ytApiUrl": "https://www.youtube.com/iframe_api"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="91cd004a6fdd47f8ab0b5908944d7a41"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@7ead1e4813184be58d30e5d65f06c300">
<h2 class="hd hd-2 unit-title">Population Arithmetic</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@video+block@296333419ab54814a8e8a6ef7a1d503d">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="video" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@video+block@296333419ab54814a8e8a6ef7a1d503d">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Population Arithmetic</h3>
<div
id="video_296333419ab54814a8e8a6ef7a1d503d"
class="video closed"
data-metadata='{"lmsRootURL": "https://openlearninglibrary.mit.edu", "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/871cdfef-cc5b-41f5-b676-29201dd13483-thumbnails.0000001.jpeg?AWSAccessKeyId=ASIA4QDFFSURXWFIGXDB&Expires=1739791900&Signature=uv%2B77SWrOO6yEw9ywZJ31BLHip0%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEEsaCXVzLWVhc3QtMSJHMEUCIQD3Hsj4IQCt%2Fr%2Bmag6ckrX%2Bz05qKOSobVStvJLIraYWxwIgSN%2FxDWpD9WhWCXx9V0RuFZyiD7hu4I3gkKo3AmuvUvEquwUIdBADGgw4NTkyMDU2Mzc0MTEiDE4XKq0s4AwUbqJU0SqYBc8uNddxUmE%2FBfPgneMzprjBR%2FBtNulSxv%2B0P6BCewsQofQhM5V2Y%2FqoEaSoqs1OSDrZtU2EtyczDZWpTBCXJF%2FvdDwKEoyOcrZ%2BUfTB%2Fp9EyFxkyhjA4OmL6eXwveyINIJyl2r0MEkgNpNmDn5BU%2F9SgBUjz8%2F6YepUQOgLpz8%2FIb%2BVHgjHUan5rOJrwno4O1y%2Bvf7Oa2rr20lpuERa1pLFdLs0cvotQRG8%2FHJmBl5N38xaY1ut7qtqclPZEf4td%2BTEHtqryj7%2Bqp%2FwJkUSFnQmOZK%2FxDV9KZDGJdfcVT9oRT05wLZtpjx5OFcvjj%2Fb3rIY%2FwqJCrlsRCJZTxX83gqQdfrM54Lb2L%2FPUvby9ZnXIOzAUHxN2FZ4e8aLMFkMbLGPNbP8k2wqHXzByhcSyVZK%2BrhnrL%2Btuy7HO8wSyXhMfufwK%2F1bCCH4YJi11NlHRdB4zB%2B7UPpt0S%2ByI1fzbHQZD9qc4BB9cdpEYPRw4vQwUUcuuG9nSI7aRYLaBrvEsrniDuqZIOqH6MpWP8Q1eBVCTl8i7XaKz8ve%2BhvFbNQlQ5oP3jROISuH4RiU5VMg5Fu6hhF2h2UvMFPWwfGKCFgmvbSRwB7XgUcRx8MFJJPx%2Bv8CLDilUcfW2RCtRSuFkDf3d0CI%2BfHfg%2BgdzD%2Be4o4JVDnRlU7hHO1Mjy%2FZP2TuNGgK0UM7o7QmztEs3oRGAubxFWA5YF1mgOpnF6L%2FW5MQIrrx3XaFnkZge5Z%2B2u4vdRQExqT4OzLVLZRdu2fPyXcjaN42RzVf5tSapAEtOW0xdiVcWzr%2F5fiLH0aGLPmDUscKNwc%2BfQlyAzoD%2F0ii06RmGRB1a3RNORoba3ft0VK%2FPta2v4qhLIOB8JBdeOeIPO7gh%2BAjNwUw3qzMvQY6sQEl4puM%2FZaGBlHGn4KUYp6tcO8x2QHk%2BgN9sQQTEHGSsbzXT%2Bqc%2FMs%2BH%2B9wjfhjhlJ9B4A5awqEbBxcEqESd4iYHcgy1jajeb9yuHOLinEvOi7aQ6JrXeyEgZY31U%2BeclXko8TplAqGkgx7axpvs8HWmGqutuWNXoVhEBp8o4dZm3uAVSJeMjn3X5Dm6kszD%2FrzcHW4crVZP0kVJ%2B%2B0ONYAaqqyR8ZXrbJxOYzZctD2tQs%3D", "transcriptLanguages": {"en": "English"}, "showCaptions": "true", "ytMetadataEndpoint": "", "completionEnabled": false, "streams": "", "saveStateUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@296333419ab54814a8e8a6ef7a1d503d/handler/xmodule_handler/save_user_state", "transcriptTranslationUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@296333419ab54814a8e8a6ef7a1d503d/handler/transcript/translation/__lang__", "savedVideoPosition": 0.0, "end": 0.0, "captionDataDir": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@296333419ab54814a8e8a6ef7a1d503d/handler/publish_completion", "generalSpeed": 1.0, "autoAdvance": false, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@296333419ab54814a8e8a6ef7a1d503d/handler/transcript/available_translations", "start": 0.0, "duration": 657.923, "prioritizeHls": false, "autohideHtml5": false, "saveStateEnabled": false, "autoplay": false, "transcriptLanguage": "en", "completionPercentage": 0.95, "recordedYoutubeIsAvailable": true, "speed": null, "sources": ["https://edx-video.net/871cdfef-cc5b-41f5-b676-29201dd13483.m3u8", "https://edx-video.net/871cdfef-cc5b-41f5-b676-29201dd13483-mp4_720p.mp4"], "ytTestTimeout": 1500, "ytApiUrl": "https://www.youtube.com/iframe_api"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="296333419ab54814a8e8a6ef7a1d503d"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@ffb1d980b8a548d79341b6e066e7f449">
<h2 class="hd hd-2 unit-title">Probability Matching Explained</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@video+block@67893e432c2f42f3bda38c92b50b9165">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="video" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@video+block@67893e432c2f42f3bda38c92b50b9165">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Probability Matching Explained</h3>
<div
id="video_67893e432c2f42f3bda38c92b50b9165"
class="video closed"
data-metadata='{"lmsRootURL": "https://openlearninglibrary.mit.edu", "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/1847a31e-a9ea-4192-bf74-5e272f7ccabc-thumbnails.0000001.jpeg?AWSAccessKeyId=ASIA4QDFFSURXWFIGXDB&Expires=1739791900&Signature=PoaM6LaZTFfpDU9%2FTsOd5ch5uFM%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEEsaCXVzLWVhc3QtMSJHMEUCIQD3Hsj4IQCt%2Fr%2Bmag6ckrX%2Bz05qKOSobVStvJLIraYWxwIgSN%2FxDWpD9WhWCXx9V0RuFZyiD7hu4I3gkKo3AmuvUvEquwUIdBADGgw4NTkyMDU2Mzc0MTEiDE4XKq0s4AwUbqJU0SqYBc8uNddxUmE%2FBfPgneMzprjBR%2FBtNulSxv%2B0P6BCewsQofQhM5V2Y%2FqoEaSoqs1OSDrZtU2EtyczDZWpTBCXJF%2FvdDwKEoyOcrZ%2BUfTB%2Fp9EyFxkyhjA4OmL6eXwveyINIJyl2r0MEkgNpNmDn5BU%2F9SgBUjz8%2F6YepUQOgLpz8%2FIb%2BVHgjHUan5rOJrwno4O1y%2Bvf7Oa2rr20lpuERa1pLFdLs0cvotQRG8%2FHJmBl5N38xaY1ut7qtqclPZEf4td%2BTEHtqryj7%2Bqp%2FwJkUSFnQmOZK%2FxDV9KZDGJdfcVT9oRT05wLZtpjx5OFcvjj%2Fb3rIY%2FwqJCrlsRCJZTxX83gqQdfrM54Lb2L%2FPUvby9ZnXIOzAUHxN2FZ4e8aLMFkMbLGPNbP8k2wqHXzByhcSyVZK%2BrhnrL%2Btuy7HO8wSyXhMfufwK%2F1bCCH4YJi11NlHRdB4zB%2B7UPpt0S%2ByI1fzbHQZD9qc4BB9cdpEYPRw4vQwUUcuuG9nSI7aRYLaBrvEsrniDuqZIOqH6MpWP8Q1eBVCTl8i7XaKz8ve%2BhvFbNQlQ5oP3jROISuH4RiU5VMg5Fu6hhF2h2UvMFPWwfGKCFgmvbSRwB7XgUcRx8MFJJPx%2Bv8CLDilUcfW2RCtRSuFkDf3d0CI%2BfHfg%2BgdzD%2Be4o4JVDnRlU7hHO1Mjy%2FZP2TuNGgK0UM7o7QmztEs3oRGAubxFWA5YF1mgOpnF6L%2FW5MQIrrx3XaFnkZge5Z%2B2u4vdRQExqT4OzLVLZRdu2fPyXcjaN42RzVf5tSapAEtOW0xdiVcWzr%2F5fiLH0aGLPmDUscKNwc%2BfQlyAzoD%2F0ii06RmGRB1a3RNORoba3ft0VK%2FPta2v4qhLIOB8JBdeOeIPO7gh%2BAjNwUw3qzMvQY6sQEl4puM%2FZaGBlHGn4KUYp6tcO8x2QHk%2BgN9sQQTEHGSsbzXT%2Bqc%2FMs%2BH%2B9wjfhjhlJ9B4A5awqEbBxcEqESd4iYHcgy1jajeb9yuHOLinEvOi7aQ6JrXeyEgZY31U%2BeclXko8TplAqGkgx7axpvs8HWmGqutuWNXoVhEBp8o4dZm3uAVSJeMjn3X5Dm6kszD%2FrzcHW4crVZP0kVJ%2B%2B0ONYAaqqyR8ZXrbJxOYzZctD2tQs%3D", "transcriptLanguages": {"en": "English"}, "showCaptions": "true", "ytMetadataEndpoint": "", "completionEnabled": false, "streams": "", "saveStateUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@67893e432c2f42f3bda38c92b50b9165/handler/xmodule_handler/save_user_state", "transcriptTranslationUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@67893e432c2f42f3bda38c92b50b9165/handler/transcript/translation/__lang__", "savedVideoPosition": 0.0, "end": 0.0, "captionDataDir": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@67893e432c2f42f3bda38c92b50b9165/handler/publish_completion", "generalSpeed": 1.0, "autoAdvance": false, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@67893e432c2f42f3bda38c92b50b9165/handler/transcript/available_translations", "start": 0.0, "duration": 714.901, "prioritizeHls": false, "autohideHtml5": false, "saveStateEnabled": false, "autoplay": false, "transcriptLanguage": "en", "completionPercentage": 0.95, "recordedYoutubeIsAvailable": true, "speed": null, "sources": ["https://edx-video.net/1847a31e-a9ea-4192-bf74-5e272f7ccabc-mp4_720p.mp4", "https://edx-video.net/1847a31e-a9ea-4192-bf74-5e272f7ccabc.m3u8"], "ytTestTimeout": 1500, "ytApiUrl": "https://www.youtube.com/iframe_api"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="67893e432c2f42f3bda38c92b50b9165"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@f46d29418dac4ce98e7d9247eae37c47">
<h2 class="hd hd-2 unit-title">Interactive: Probability Matching</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@html+block@2179011b04b34443875d47318cb4a524">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="html" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@html+block@2179011b04b34443875d47318cb4a524">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p style="text-align: left;">The interactive graph below simulates the binary choice model described in the lecture. You start with a population of 10 individuals that can live on top of a plateau or in a valley. Depending on the weather and on the location of an individual, each creature will have a number [mathjaxinline] X_a [/mathjaxinline] or [mathjaxinline] X_b [/mathjaxinline] of offsprings ([mathjaxinline] X_a [/mathjaxinline] if the creature lives in the valley, and [mathjaxinline] X_b [/mathjaxinline] if the creature lives on top of the plateau)<span style="font-size: 1em;">. Given the type </span>[mathjaxinline] f [/mathjaxinline]<span style="font-size: 1em;"> (a number between 0 and 1) of the creature, it will send a fraction </span>[mathjaxinline] f [/mathjaxinline] of its offsprings to the valley and a fraction [mathjaxinline] (1-f) [/mathjaxinline] of its offsprings to the plateau.</p>
<p style="text-align: left;">To use the interactive widget below, start by selecting the probability of having a sunny weather, the initial number of creatures that will start in the valley (out of 10 creatures in total), as well as the number of offsprings [mathjaxinline] X_a [/mathjaxinline] that <span style="font-size: 1em;">a creature living in the valley could have when it is sunny or rainy, and </span>the number of offsprings [mathjaxinline] X_b [/mathjaxinline] that <span style="font-size: 1em;">a creature living on top of the plateau could have when it is sunny or rainy.</span></p>
<p style="text-align: left;">The simulation below will show you the possible growth of populations with various types [mathjaxinline] f [/mathjaxinline]. We denote by [mathjaxinline] f^* [/mathjaxinline] the type of the creature that will give rise to the largest population growth.</p>
<p style="text-align: center;"><iframe title="Population" src="/asset-v1:MITx+15.481x+1T2021+type@asset+block/Population_v5.html" width="2000" height="1000" marginwidth="0" marginheight="0" frameborder="0" scrolling="no">
Your browser does not support IFrames.
</iframe></p>
<p></p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@0b9ef54e56b44c5f826b79d9e420ae77">
<h2 class="hd hd-2 unit-title">Other Applications</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@video+block@a195e119027c453e93a2a09b63b61ed4">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="video" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@video+block@a195e119027c453e93a2a09b63b61ed4">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Other Applications</h3>
<div
id="video_a195e119027c453e93a2a09b63b61ed4"
class="video closed"
data-metadata='{"lmsRootURL": "https://openlearninglibrary.mit.edu", "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/1a6964b7-4740-4ada-be05-f12162580b2b-thumbnails.0000001.jpeg?AWSAccessKeyId=ASIA4QDFFSURXWFIGXDB&Expires=1739791900&Signature=A%2FhwXwx2lhefO1xmxF0pnEn0it8%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEEsaCXVzLWVhc3QtMSJHMEUCIQD3Hsj4IQCt%2Fr%2Bmag6ckrX%2Bz05qKOSobVStvJLIraYWxwIgSN%2FxDWpD9WhWCXx9V0RuFZyiD7hu4I3gkKo3AmuvUvEquwUIdBADGgw4NTkyMDU2Mzc0MTEiDE4XKq0s4AwUbqJU0SqYBc8uNddxUmE%2FBfPgneMzprjBR%2FBtNulSxv%2B0P6BCewsQofQhM5V2Y%2FqoEaSoqs1OSDrZtU2EtyczDZWpTBCXJF%2FvdDwKEoyOcrZ%2BUfTB%2Fp9EyFxkyhjA4OmL6eXwveyINIJyl2r0MEkgNpNmDn5BU%2F9SgBUjz8%2F6YepUQOgLpz8%2FIb%2BVHgjHUan5rOJrwno4O1y%2Bvf7Oa2rr20lpuERa1pLFdLs0cvotQRG8%2FHJmBl5N38xaY1ut7qtqclPZEf4td%2BTEHtqryj7%2Bqp%2FwJkUSFnQmOZK%2FxDV9KZDGJdfcVT9oRT05wLZtpjx5OFcvjj%2Fb3rIY%2FwqJCrlsRCJZTxX83gqQdfrM54Lb2L%2FPUvby9ZnXIOzAUHxN2FZ4e8aLMFkMbLGPNbP8k2wqHXzByhcSyVZK%2BrhnrL%2Btuy7HO8wSyXhMfufwK%2F1bCCH4YJi11NlHRdB4zB%2B7UPpt0S%2ByI1fzbHQZD9qc4BB9cdpEYPRw4vQwUUcuuG9nSI7aRYLaBrvEsrniDuqZIOqH6MpWP8Q1eBVCTl8i7XaKz8ve%2BhvFbNQlQ5oP3jROISuH4RiU5VMg5Fu6hhF2h2UvMFPWwfGKCFgmvbSRwB7XgUcRx8MFJJPx%2Bv8CLDilUcfW2RCtRSuFkDf3d0CI%2BfHfg%2BgdzD%2Be4o4JVDnRlU7hHO1Mjy%2FZP2TuNGgK0UM7o7QmztEs3oRGAubxFWA5YF1mgOpnF6L%2FW5MQIrrx3XaFnkZge5Z%2B2u4vdRQExqT4OzLVLZRdu2fPyXcjaN42RzVf5tSapAEtOW0xdiVcWzr%2F5fiLH0aGLPmDUscKNwc%2BfQlyAzoD%2F0ii06RmGRB1a3RNORoba3ft0VK%2FPta2v4qhLIOB8JBdeOeIPO7gh%2BAjNwUw3qzMvQY6sQEl4puM%2FZaGBlHGn4KUYp6tcO8x2QHk%2BgN9sQQTEHGSsbzXT%2Bqc%2FMs%2BH%2B9wjfhjhlJ9B4A5awqEbBxcEqESd4iYHcgy1jajeb9yuHOLinEvOi7aQ6JrXeyEgZY31U%2BeclXko8TplAqGkgx7axpvs8HWmGqutuWNXoVhEBp8o4dZm3uAVSJeMjn3X5Dm6kszD%2FrzcHW4crVZP0kVJ%2B%2B0ONYAaqqyR8ZXrbJxOYzZctD2tQs%3D", "transcriptLanguages": {"en": "English"}, "showCaptions": "true", "ytMetadataEndpoint": "", "completionEnabled": false, "streams": "", "saveStateUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@a195e119027c453e93a2a09b63b61ed4/handler/xmodule_handler/save_user_state", "transcriptTranslationUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@a195e119027c453e93a2a09b63b61ed4/handler/transcript/translation/__lang__", "savedVideoPosition": 0.0, "end": 0.0, "captionDataDir": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@a195e119027c453e93a2a09b63b61ed4/handler/publish_completion", "generalSpeed": 1.0, "autoAdvance": false, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@a195e119027c453e93a2a09b63b61ed4/handler/transcript/available_translations", "start": 0.0, "duration": 264.106, "prioritizeHls": false, "autohideHtml5": false, "saveStateEnabled": false, "autoplay": false, "transcriptLanguage": "en", "completionPercentage": 0.95, "recordedYoutubeIsAvailable": true, "speed": null, "sources": ["https://edx-video.net/1a6964b7-4740-4ada-be05-f12162580b2b.m3u8", "https://edx-video.net/1a6964b7-4740-4ada-be05-f12162580b2b-mp4_720p.mp4"], "ytTestTimeout": 1500, "ytApiUrl": "https://www.youtube.com/iframe_api"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="a195e119027c453e93a2a09b63b61ed4"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="vertical" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="VerticalStudentView" data-usage-id="block-v1:MITx+15.481x+1T2021+type@vertical+block@d9c7e8272cc24ef7ab68bf752fda187f">
<h2 class="hd hd-2 unit-title">Systematic vs Idiosyncratic Risk</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.481x+1T2021+type@video+block@0607d3b634534a269bf5224966317cbe">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-has-score="False" data-runtime-class="LmsRuntime" data-graded="False" data-request-token="0d743e08ed2211efbea112d4917dea95" data-runtime-version="1" data-block-type="video" data-course-id="course-v1:MITx+15.481x+1T2021" data-init="XBlockToXModuleShim" data-usage-id="block-v1:MITx+15.481x+1T2021+type@video+block@0607d3b634534a269bf5224966317cbe">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Systematic vs Idiosyncratic Risk</h3>
<div
id="video_0607d3b634534a269bf5224966317cbe"
class="video closed"
data-metadata='{"lmsRootURL": "https://openlearninglibrary.mit.edu", "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/ac2a7278-6f4a-4805-b7af-a46b8f2edee9-thumbnails.0000001.jpeg?AWSAccessKeyId=ASIA4QDFFSURXWFIGXDB&Expires=1739791900&Signature=UJ81wG4wLGHuIvZzQUTI42oav%2FA%3D&x-amz-security-token=IQoJb3JpZ2luX2VjEEsaCXVzLWVhc3QtMSJHMEUCIQD3Hsj4IQCt%2Fr%2Bmag6ckrX%2Bz05qKOSobVStvJLIraYWxwIgSN%2FxDWpD9WhWCXx9V0RuFZyiD7hu4I3gkKo3AmuvUvEquwUIdBADGgw4NTkyMDU2Mzc0MTEiDE4XKq0s4AwUbqJU0SqYBc8uNddxUmE%2FBfPgneMzprjBR%2FBtNulSxv%2B0P6BCewsQofQhM5V2Y%2FqoEaSoqs1OSDrZtU2EtyczDZWpTBCXJF%2FvdDwKEoyOcrZ%2BUfTB%2Fp9EyFxkyhjA4OmL6eXwveyINIJyl2r0MEkgNpNmDn5BU%2F9SgBUjz8%2F6YepUQOgLpz8%2FIb%2BVHgjHUan5rOJrwno4O1y%2Bvf7Oa2rr20lpuERa1pLFdLs0cvotQRG8%2FHJmBl5N38xaY1ut7qtqclPZEf4td%2BTEHtqryj7%2Bqp%2FwJkUSFnQmOZK%2FxDV9KZDGJdfcVT9oRT05wLZtpjx5OFcvjj%2Fb3rIY%2FwqJCrlsRCJZTxX83gqQdfrM54Lb2L%2FPUvby9ZnXIOzAUHxN2FZ4e8aLMFkMbLGPNbP8k2wqHXzByhcSyVZK%2BrhnrL%2Btuy7HO8wSyXhMfufwK%2F1bCCH4YJi11NlHRdB4zB%2B7UPpt0S%2ByI1fzbHQZD9qc4BB9cdpEYPRw4vQwUUcuuG9nSI7aRYLaBrvEsrniDuqZIOqH6MpWP8Q1eBVCTl8i7XaKz8ve%2BhvFbNQlQ5oP3jROISuH4RiU5VMg5Fu6hhF2h2UvMFPWwfGKCFgmvbSRwB7XgUcRx8MFJJPx%2Bv8CLDilUcfW2RCtRSuFkDf3d0CI%2BfHfg%2BgdzD%2Be4o4JVDnRlU7hHO1Mjy%2FZP2TuNGgK0UM7o7QmztEs3oRGAubxFWA5YF1mgOpnF6L%2FW5MQIrrx3XaFnkZge5Z%2B2u4vdRQExqT4OzLVLZRdu2fPyXcjaN42RzVf5tSapAEtOW0xdiVcWzr%2F5fiLH0aGLPmDUscKNwc%2BfQlyAzoD%2F0ii06RmGRB1a3RNORoba3ft0VK%2FPta2v4qhLIOB8JBdeOeIPO7gh%2BAjNwUw3qzMvQY6sQEl4puM%2FZaGBlHGn4KUYp6tcO8x2QHk%2BgN9sQQTEHGSsbzXT%2Bqc%2FMs%2BH%2B9wjfhjhlJ9B4A5awqEbBxcEqESd4iYHcgy1jajeb9yuHOLinEvOi7aQ6JrXeyEgZY31U%2BeclXko8TplAqGkgx7axpvs8HWmGqutuWNXoVhEBp8o4dZm3uAVSJeMjn3X5Dm6kszD%2FrzcHW4crVZP0kVJ%2B%2B0ONYAaqqyR8ZXrbJxOYzZctD2tQs%3D", "transcriptLanguages": {"en": "English"}, "showCaptions": "true", "ytMetadataEndpoint": "", "completionEnabled": false, "streams": "", "saveStateUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@0607d3b634534a269bf5224966317cbe/handler/xmodule_handler/save_user_state", "transcriptTranslationUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@0607d3b634534a269bf5224966317cbe/handler/transcript/translation/__lang__", "savedVideoPosition": 0.0, "end": 0.0, "captionDataDir": null, "publishCompletionUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@0607d3b634534a269bf5224966317cbe/handler/publish_completion", "generalSpeed": 1.0, "autoAdvance": false, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.481x+1T2021/xblock/block-v1:MITx+15.481x+1T2021+type@video+block@0607d3b634534a269bf5224966317cbe/handler/transcript/available_translations", "start": 0.0, "duration": 445.878, "prioritizeHls": false, "autohideHtml5": false, "saveStateEnabled": false, "autoplay": false, "transcriptLanguage": "en", "completionPercentage": 0.95, "recordedYoutubeIsAvailable": true, "speed": null, "sources": ["https://edx-video.net/ac2a7278-6f4a-4805-b7af-a46b8f2edee9-mp4_720p.mp4", "https://edx-video.net/ac2a7278-6f4a-4805-b7af-a46b8f2edee9.m3u8"], "ytTestTimeout": 1500, "ytApiUrl": "https://www.youtube.com/iframe_api"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="0607d3b634534a269bf5224966317cbe"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
</div>
</div>
</div>
</div>
</div>
© All Rights Reserved