youtor.org
Statistics Binomial amp Poisson Distributions
#############################
Video Source: www.youtube.com/watch?v=Jm_Ch-iESBg
I work through a few probability examples based on some common discrete probability distributions (binomial, Poisson, hypergeometric, geometric -- but not necessarily in this order). I assume that you've been previously introduced to these distributions (although this isn't necessary for the geometric problem, as the probability is easily calculated from basic probability rules). Students sometimes have difficulty determining the appropriate distribution to use, so this video may give some help with the proper thought process.","styleRuns":[{"startIndex":0,"length":534,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":534,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMUBELsvGAIiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0ptX0NoLWlFU0JnGAYyJSIRIgtKbV9DaC1pRVNCZzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMUBELsvGAIiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMQBELovIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"eexQyHj6hEA","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/eexQyHj6hEA/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBQa2Uct_5VI6ofDS8WnRCi9RMjpA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/eexQyHj6hEA/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCOwpuDWMZCSGzEfhHXx2MXcCM69Q","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"The Relationship Between the Binomial and Poisson Distributions автор: jbstatistics 173 558 переглядів 12 років тому 5 хвилин і 24 секунди"}},"simpleText":"The Relationship Between the Binomial and Poisson Distributions"},"longBylineText":{"runs":[{"text":"jbstatistics","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh8yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jbstatistics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiHi6xXLzi9FMr9B0zgoHqA","canonicalBaseUrl":"/@jbstatistics"}}}]},"publishedTimeText":{"simpleText":"12 років тому"},"viewCountText":{"simpleText":"173 558 переглядів"},"lengthText":{"accessibility":{"accessibilityData":{"label":"5 хвилин і 24 секунди"}},"simpleText":"5:24"},"navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh8yB3JlbGF0ZWRImJCRxP7Q8LcmmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=eexQyHj6hEA","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"eexQyHj6hEA","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-5hne6n6l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=79ec50c878fa8440 ip=217.12.208.238 mt=1731889360 oweuc= pxtags=Cg4KAnR4Egg1MTMyNjY1NA rxtags=Cg4KAnR4Egg1MTMyNjY1MA%2CCg4KAnR4Egg1MTMyNjY1MQ%2CCg4KAnR4Egg1MTMyNjY1Mg%2CCg4KAnR4Egg1MTMyNjY1Mw%2CCg4KAnR4Egg1MTMyNjY1NA%2CCg4KAnR4Egg1MTMyNjY1NQ%2CCg4KAnR4Egg1MTMyNjY1Ng"}}}}},"shortBylineText":{"runs":[{"text":"jbstatistics","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh8yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jbstatistics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiHi6xXLzi9FMr9B0zgoHqA","canonicalBaseUrl":"/@jbstatistics"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mQbAmpL2QRYANrmmF9Kjo5xancGoeLVIa6KbLcfyQKKg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh9AwIjqx4eZlPZ5","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"173 тисячі переглядів"}},"simpleText":"173 тис. переглядів"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Додати в чергу"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMIBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"eexQyHj6hEA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["eexQyHj6hEA"],"params":"CAQ%3D"}},"videoIds":["eexQyHj6hEA"]}},{"clickTrackingParams":"CMIBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Додано до черги"},"trackingParams":"CMMBELlqIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},"popupType":"TOAST"}}]}},"trackingParams":"CMIBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMEBENGqBRgHIhMI2bbEpM_kiQMVqUR6BR3VuDIf","offlineVideoEndpoint":{"videoId":"eexQyHj6hEA","onAddCommand":{"clickTrackingParams":"CMEBENGqBRgHIhMI2bbEpM_kiQMVqUR6BR3VuDIf","getDownloadActionCommand":{"videoId":"eexQyHj6hEA","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMEBENGqBRgHIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Поділитися"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtlZXhReUhqNmhFQQ%3D%3D","commands":[{"clickTrackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMABEI5iIhMI2bbEpM_kiQMVqUR6BR3VuDIf","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","hasSeparator":true}}],"trackingParams":"CL0BEKQwGAAiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","accessibility":{"accessibilityData":{"label":"Меню дій"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"5 хвилин і 24 секунди"}},"simpleText":"5:24"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Переглянути пізніше","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"eexQyHj6hEA","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"eexQyHj6hEA"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Переглянути пізніше"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CL8BEPnnAxgBIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Додати в чергу","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL4BEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"eexQyHj6hEA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL4BEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["eexQyHj6hEA"],"params":"CAQ%3D"}},"videoIds":["eexQyHj6hEA"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Додати в чергу"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CL4BEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Зараз відтворюється"}]}}}],"accessibility":{"accessibilityData":{"label":"The Relationship Between the Binomial and Poisson Distributions – 5 хвилин і 24 секунди – Перейти до каналу – jbstatistics - 173 тис. переглядів - 12 років тому – відтворити відео"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/eexQyHj6hEA/mqdefault_6s.webp?du=3000 sqp=CIDu6bkG rs=AOn4CLA8fQzStDjOnT1sNObuWcUHWC824w","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"UrOXRvG9oYE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/UrOXRvG9oYE/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLC04U7clEJ1GvE9s0SM-sJU1X-8tg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/UrOXRvG9oYE/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLBKnQoOdIp4VOGIokXepnGpYrqPUQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Overview of Some Discrete Probability Distributions (Binomial,Geometric,Hypergeometric,Poisson,NegB) автор: jbstatistics 289 860 переглядів 11 років тому 6 хвилин і 21 секунда"}},"simpleText":"Overview of Some Discrete Probability Distributions (Binomial,Geometric,Hypergeometric,Poisson,NegB)"},"longBylineText":{"runs":[{"text":"jbstatistics","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh8yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jbstatistics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiHi6xXLzi9FMr9B0zgoHqA","canonicalBaseUrl":"/@jbstatistics"}}}]},"publishedTimeText":{"simpleText":"11 років тому"},"viewCountText":{"simpleText":"289 860 переглядів"},"lengthText":{"accessibility":{"accessibilityData":{"label":"6 хвилин і 21 секунда"}},"simpleText":"6:21"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh8yB3JlbGF0ZWRImJCRxP7Q8LcmmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=UrOXRvG9oYE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"UrOXRvG9oYE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-5hne6nzk.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=52b39746f1bda181 ip=217.12.208.238 mt=1731889360 oweuc= pxtags=Cg4KAnR4Egg1MTMyNjY1NA rxtags=Cg4KAnR4Egg1MTMyNjY1MA%2CCg4KAnR4Egg1MTMyNjY1MQ%2CCg4KAnR4Egg1MTMyNjY1Mg%2CCg4KAnR4Egg1MTMyNjY1Mw%2CCg4KAnR4Egg1MTMyNjY1NA%2CCg4KAnR4Egg1MTMyNjY1NQ%2CCg4KAnR4Egg1MTMyNjY1Ng"}}}}},"shortBylineText":{"runs":[{"text":"jbstatistics","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh8yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jbstatistics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCiHi6xXLzi9FMr9B0zgoHqA","canonicalBaseUrl":"/@jbstatistics"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mQbAmpL2QRYANrmmF9Kjo5xancGoeLVIa6KbLcfyQKKg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh9AgcP2je_o5dlS","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"289 тисяч переглядів"}},"simpleText":"289 тис. переглядів"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Додати в чергу"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"UrOXRvG9oYE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["UrOXRvG9oYE"],"params":"CAQ%3D"}},"videoIds":["UrOXRvG9oYE"]}},{"clickTrackingParams":"CLsBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Додано до черги"},"trackingParams":"CLwBELlqIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgGIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgHIhMI2bbEpM_kiQMVqUR6BR3VuDIf","offlineVideoEndpoint":{"videoId":"UrOXRvG9oYE","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgHIhMI2bbEpM_kiQMVqUR6BR3VuDIf","getDownloadActionCommand":{"videoId":"UrOXRvG9oYE","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgHIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Поділитися"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtVck9YUnZHOW9ZRQ%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMI2bbEpM_kiQMVqUR6BR3VuDIf","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAEiEwjZtsSkz-SJAxWpRHoFHdW4Mh8=","accessibility":{"accessibilityData":{"label":"Меню дій"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"6 хвилин і 21 секунда"}},"simpleText":"6:21"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Переглянути пізніше","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"UrOXRvG9oYE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"UrOXRvG9oYE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Переглянути пізніше"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CLgBEPnnAxgBIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Додати в чергу","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"UrOXRvG9oYE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["UrOXRvG9oYE"],"params":"CAQ%3D"}},"videoIds":["UrOXRvG9oYE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Додати в чергу"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CLcBEMfsBBgCIhMI2bbEpM_kiQMVqUR6BR3VuDIf"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Зараз відтворюється"}]}}}],"accessibility":{"accessibilityData":{"label":"Overview of Some Discrete Probability Distributions (Binomial,Geometric,Hypergeometric,Poisson,NegB) – 6 хвилин і 21 секунда – Перейти до каналу – jbstatistics - 289 тис. переглядів - 11 років тому – відтворити відео"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/UrOXRvG9oYE/mqdefault_6s.webp?du=3000 sqp=CLuD6rkG rs=AOn4CLASMq5iHMQ-gdix2CWp3wxe8LejsQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/0P5WRKihQ4E/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBsrskqxZTemf92meG0-fw__Paicw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/0P5WRKihQ4E/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDCnde-78xXSSK0wvgqHZkaidUeWw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"13 відео","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Відтворити все","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Discrete Probability Distributions"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"jbstatistics
#############################
New on site
