{"id":39,"date":"2023-08-06T06:39:02","date_gmt":"2023-08-06T06:39:02","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e8%b6%85%e5%b9%be%e4%bd%95%e5%88%86%e5%b8%83-1\/"},"modified":"2023-08-06T06:39:02","modified_gmt":"2023-08-06T06:39:02","slug":"%e8%b6%85%e5%b9%be%e4%bd%95%e5%88%86%e5%b8%83-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e8%b6%85%e5%b9%be%e4%bd%95%e5%88%86%e5%b8%83-1\/","title":{"rendered":"\u8d85\u5e7e\u4f55\u5206\u5e03"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5206\u5e03\u3067\u78ba\u7387\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u516c\u5f0f\u3001\u305d\u306e\u7279\u6027\u3001\u304a\u3088\u3073\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u8a08\u7b97\u6a5f\u304c\u30aa\u30f3\u30e9\u30a4\u30f3\u3067\u898b\u3064\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-hipergeometrica\"><\/span>\u8d85\u5e7e\u4f55\u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u8d85\u5e7e\u4f55\u5206\u5e03\u306f\u3001<\/strong>\u6bcd\u96c6\u56e3\u304b\u3089<em>n \u500b\u306e<\/em>\u8981\u7d20\u3092\u7f6e\u63db\u305b\u305a\u306b\u30e9\u30f3\u30c0\u30e0\u306b\u62bd\u51fa\u3057\u305f\u5834\u5408\u306b\u6210\u529f\u3057\u305f\u30b1\u30fc\u30b9\u306e\u6570\u3092\u8868\u3059\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u306f\u3001\u3044\u305a\u308c\u3082\u7f6e\u63db\u305b\u305a\u306b\u6bcd\u96c6\u56e3\u304b\u3089<em>n<\/em>\u500b\u306e\u8981\u7d20\u3092\u62bd\u51fa\u3059\u308b\u3068\u304d\u306b<em>x \u500b<\/em>\u306e\u6210\u529f\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u8d85\u5e7e\u4f55\u5206\u5e03\u306b\u306f 3 \u3064\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li> <strong><em>N<\/em><\/strong> : \u306f\u6bcd\u96c6\u56e3\u5185\u306e\u8981\u7d20\u306e\u6570\u3067\u3059 (N = 0\u30011\u30012\u3001\u2026)\u3002<\/li>\n<li> <strong><em>K<\/em><\/strong> : \u6210\u529f\u30b1\u30fc\u30b9\u306e\u6700\u5927\u6570\u3067\u3059 (K = 0\u30011\u30012\u3001\u2026\u3001N)\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u306f\u8981\u7d20\u306f\u300c\u6210\u529f\u300d\u307e\u305f\u306f\u300c\u5931\u6557\u300d\u3068\u3057\u304b\u8003\u3048\u3089\u308c\u306a\u3044\u305f\u3081\u3001 <em>NK<\/em>\u306f\u5931\u6557\u30b1\u30fc\u30b9\u306e\u6700\u5927\u6570\u3067\u3059\u3002<\/li>\n<li> <strong><em>n<\/em><\/strong> : \u306f\u3001\u5b9f\u884c\u3055\u308c\u308b\u975e\u7f6e\u63db\u30d5\u30a7\u30c3\u30c1\u306e\u6570\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bd43d7c14739c66e63b224abf6cc20b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X \\sim HG(N,K,n)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u30d1\u30e9\u30e1\u30fc\u30bf N=8\u3001K=5\u3001n=3 \u306e\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u6301\u3064\u96e2\u6563\u78ba\u7387\u5909\u6570 X \u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-280e1b592bcb0088c8a5c97ef08dc01b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X \\sim HG(8,5,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"125\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-hipergeometrica\"><\/span>\u8d85\u5e7e\u4f55\u5206\u5e03\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u516c\u5f0f\u306f<\/strong>\u3001 <em>x<\/em>\u4e0a\u306e<em>K<\/em>\u306e\u7d44\u307f\u5408\u308f\u305b\u6570\u3068<em>nx<\/em>\u4e0a\u306e<em>NK<\/em>\u306e\u7d44\u307f\u5408\u308f\u305b\u6570\u3092<em>n<\/em>\u4e0a\u306e<em>N<\/em>\u306e\u7d44\u307f\u5408\u308f\u305b\u6570\u3067\u5272\u3063\u305f\u7a4d\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-hypergeometrique.png\" alt=\"\u8d85\u5e7e\u4f55\u5206\u5e03\" class=\"wp-image-704\" width=\"280\" height=\"280\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u3053\u3067\u3001 <em>N<\/em>\u306f\u6bcd\u96c6\u56e3\u30b5\u30a4\u30ba\u3001 <em>K<\/em>\u306f\u6709\u5229\u306a\u30b1\u30fc\u30b9\u306e\u7dcf\u6570\u3001 <em>n<\/em>\u306f\u975e\u7f6e\u63db\u62bd\u51fa\u306e\u6570\u3001 <em>x<\/em>\u306f\u767a\u751f\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u6709\u5229\u306a\u30b1\u30fc\u30b9\u306e\u6570\u3067\u3059\u3002<\/p>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u4ee5\u4e0b\u306e\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u306b\u5f93\u3046\u5909\u6570\u306e\u30a4\u30d9\u30f3\u30c8\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-distribucion-hipergeometrica\"><\/span>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u5b9a\u7fa9\u3068\u516c\u5f0f\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u6b21\u306f\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u78ba\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4f8b\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u888b\u306e\u4e2d\u306b\u9752\u3044\u30dc\u30fc\u30eb20\u500b\u3068\u8d64\u3044\u30dc\u30fc\u30eb30\u500b\u3092\u5165\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u888b\u306e\u4e2d\u306b\u306f\u5408\u8a0850\u500b\u306e\u30dc\u30fc\u30eb\u304c\u3042\u308a\u307e\u3059\u3002\u4f55\u3082\u4ea4\u63db\u305b\u305a\u306b 12 \u500b\u306e\u30dc\u30fc\u30eb\u3092\u5f15\u3044\u305f\u5834\u5408\u3001\u9752\u3044\u30dc\u30fc\u30eb\u3092 4 \u500b\u5f15\u304f\u78ba\u7387\u3092\u6c42\u3081\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u3053\u306e\u6f14\u7fd2\u3092\u89e3\u304f\u305f\u3081\u306b\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u7279\u5b9a\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u6bcd\u96c6\u56e3\u306e\u8981\u7d20\u306e\u7dcf\u6570\u306f 50 ( <em>N<\/em> = 50) \u3067\u3001\u6709\u5229\u306a\u30b1\u30fc\u30b9\u306e\u6700\u5927\u6570\u306f 20 ( <em>K<\/em> = 20) \u3067\u300112 \u500b\u306e\u30dc\u30fc\u30eb\u304c\u63cf\u753b\u3055\u308c\u307e\u3059 ( <em>n<\/em> = 12)\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-352132f74408eab99d3985c63a49f322_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}N=50\\\\[2ex]K=20\\\\[2ex]n=12\\end{array}\\right\\} \\longrightarrow \\ X\\sim HG(50,20,12)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"278\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 4 \u3064\u306e\u9752\u3044\u30dc\u30fc\u30eb ( <em>x<\/em> =4) \u3092\u5f15\u304f\u78ba\u7387\u3092\u8a08\u7b97\u3057\u305f\u3044\u306e\u3067\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u5f0f\u3092\u9069\u7528\u3057\u3001\u5909\u6570\u3092\u5bfe\u5fdc\u3059\u308b\u5024\u306b\u7f6e\u304d\u63db\u3048\u3066\u8a08\u7b97\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-caf83b14deae0fe9882e4d40e677329f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\\bigl[X=x\\bigr]=\\cfrac{\\begin{pmatrix}K\\\\x\\end{pmatrix}\\begin{pmatrix}N-K\\\\n-x\\end{pmatrix}}{\\begin{pmatrix}N\\\\n\\end{pmatrix}}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"233\" style=\"vertical-align: -42px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ed747dd327149d4a925e6ad7c4119f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P\\bigl[X=4\\bigr]&amp;=\\cfrac{\\begin{pmatrix}20\\\\4\\end{pmatrix}\\begin{pmatrix}50-20\\\\12-4\\end{pmatrix}}{\\begin{pmatrix}50\\\\12\\end{pmatrix}} \\\\[1.5ex]&amp;=\\cfrac{\\begin{pmatrix}20\\\\4\\end{pmatrix}\\begin{pmatrix}30\\\\8\\end{pmatrix}}{\\begin{pmatrix}50\\\\12\\end{pmatrix}} \\\\[1.5ex]&amp;=0,2336 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"241\" width=\"236\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-hipergeometrica\"><\/span>\u8d85\u5e7e\u4f55\u5206\u5e03\u8a08\u7b97\u6a5f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u30c4\u30fc\u30eb\u306b\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u5165\u529b\u3057\u3066\u3001\u76ee\u7684\u306e\u30a4\u30d9\u30f3\u30c8\u306e\u767a\u751f\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p> <em>N<\/em>\u306f\u6bcd\u96c6\u56e3\u306e\u30b5\u30a4\u30ba\u3001 <em>K<\/em>\u306f\u6709\u5229\u306a\u30b1\u30fc\u30b9\u306e\u7dcf\u6570\u3001 <em>n<\/em>\u306f\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3001 <em>x<\/em>\u306f\u3053\u308c\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b\u5024\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<form action=\"\" method=\"post\">\n<ul style=\"color:#ff981b\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> = <input name=\"N\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width: 60px\" placeholder=\"50\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el par\u00e1metro N aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7fb8d8d37cb2b48aee9e97aee7728d8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"K\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> = <input name=\"K\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width: 60px\" placeholder=\"20\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el par\u00e1metro K aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> = <input name=\"n\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width: 60px\" placeholder=\"12\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el par\u00e1metro n aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> = <input name=\"x\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width: 60px\" placeholder=\"4\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el par\u00e1metro x aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span><\/li>\n<\/ul>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-hipergeometrica\"><\/span>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u7279\u5fb4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8d85\u5e7e\u4f55\u5206\u5e03\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u671f\u5f85\u5024\u306f\u3001<\/strong>\u30b5\u30f3\u30d7\u30eb\u5185\u306e\u8981\u7d20\u306e\u6570\u306b\u6709\u5229\u306a\u30b1\u30fc\u30b9\u306e\u7dcf\u6570\u3092\u4e57\u7b97\u3057\u3001\u6bcd\u96c6\u56e3\u5185\u306e\u8981\u7d20\u306e\u6570\u3067\u5272\u3063\u305f\u5024\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9bdef759e65e06487e59b3347074f858_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\cfrac{n\\cdot K}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u6700\u983b\u5024<\/strong>\u306f\u3001 <em>n+1<\/em>\u3068<em>K+1<\/em>\u306e\u7a4d\u3092<em>N+2<\/em>\u3067\u5272\u3063\u305f\u5024\u304b\u3089\u5207\u308a\u6368\u3066\u3089\u308c\u305f\u5024\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8327fb2911d4ec8837db9d8375a18ae8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M=\\Bigg\\lfloor \\frac{(n+1)(K+1)}{N+2}\\Bigg\\rfloor\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"181\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u5206\u6563\u306f\u3001<\/strong>\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-94c482a3b0c4dccf7884cd5711f7f1f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Var[X]=\\cfrac{nK}{N}\\left(\\frac{N-K}{N}\\right)\\left(\\frac{N-n}{N-1}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"276\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\u6bcd\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ea8a5be5d8593ae89cb593676e4a982b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{{N-K \\choose n} \\scriptstyle{\\,_2F_1(-n, -K; N - K-n+1; e^{t}) } }{{N \\choose n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"225\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<ul>\n<li>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u7279\u6027\u95a2\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f865fb4f7143cfa7ea9cf4e2dbf92ed4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{{N-K \\choose n} \\scriptstyle{\\,_2F_1(-n, -K; N - K - n + 1; e^{it}) }}{{N \\choose n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"230\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6307\u5b9a\u3055\u308c\u305f\u6570\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u306f\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u518d\u5e30\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u524d\u306e\u6570\u5024\u306e\u78ba\u7387\u304b\u3089\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4286c4af42e454fde08b23c7d338588_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[X=x+1]=\\cfrac{(K-x)(n-x)}{(x+1)(N-K-n+x-1)}\\cdot P[X=x]\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"431\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-hipergeometrica-y-distribucion-binomial\"><\/span>\u8d85\u5e7e\u4f55\u5206\u5e03\u3068\u4e8c\u9805\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u8d85\u5e7e\u4f55\u5206\u5e03\u3068\u4e8c\u9805\u5206\u5e03\u306e\u9055\u3044\u306f<\/strong>\u7f6e\u63db\u3067\u3059\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u306f\u691c\u7d22\u304c\u7f6e\u63db\u3055\u308c\u306a\u3044\u5834\u5408\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u304c\u3001\u4e8c\u9805\u5206\u5e03\u3067\u306f\u691c\u7d22\u304c\u7f6e\u63db\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u30c7\u30c3\u30ad\u5185\u3067 5 \u679a\u306e\u30ab\u30fc\u30c9\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u5f15\u304d\u3001\u7279\u5b9a\u306e\u30ab\u30fc\u30c9\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u305f\u3044\u5834\u5408\u3001\u5f15\u3044\u305f\u5404\u30ab\u30fc\u30c9\u3092\u7f6e\u304d\u63db\u3048\u306a\u3044\u5834\u5408\u3001\u8a08\u7b97\u3092\u884c\u3046\u305f\u3081\u306b\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u30ab\u30fc\u30c9\u3092\u524a\u9664\u3059\u308b\u3068\u304d\u306b\u6b21\u306e\u62bd\u51fa\u3092\u5b9f\u884c\u3059\u308b\u524d\u306b\u30ab\u30fc\u30c9\u3092\u5143\u306b\u623b\u3059\u5834\u5408\u306f\u3001\u4e8c\u9805\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u6570<em>N<\/em>\u304c\u5927\u304d\u304f\u3001\u6bd4<em>n\/N<\/em>\u304c\u5c0f\u3055\u304f\u3001\u671b\u307e\u3057\u3044\u6709\u5229\u306a\u30b1\u30fc\u30b9\u306e\u6570\u304c\u975e\u5e38\u306b\u5c11\u306a\u3044\u5834\u5408\u3001\u4e8c\u9805\u5206\u5e03\u306e\u8fd1\u4f3c\u3068\u3057\u3066\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u7d50\u679c\u306e\u4fe1\u983c\u6027\u304c\u4f4e\u304f\u3001\u3055\u3089\u306b\u3001\u8d85\u5e7e\u4f55\u6cd5\u5247\u3088\u308a\u3082\u4e8c\u9805\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u305f\u65b9\u304c\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u306e\u304c\u7c21\u5358\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u306f\u304a\u52e7\u3081\u3057\u307e\u305b\u3093\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5206\u5e03\u3067\u78ba\u7387\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u516c\u5f0f\u3001\u305d\u306e\u7279\u6027\u3001\u304a\u3088\u3073\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u8a08\u7b97\u6a5f\u304c\u30aa\u30f3\u30e9\u30a4\u30f3\u3067\u898b\u3064\u304b\u308a\u307e\u3059\u3002 \u8d85\u5e7e\u4f55\u5206\u5e03\u3068\u306f\u4f55\u3067 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[],"class_list":["post-39","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u8d85\u5e7e\u4f55\u5206\u5e03: \u5f0f\u3001\u4f8b\u3001\u8a08\u7b97\u6a5f\u306a\u3069<\/title>\n<meta name=\"description\" content=\"\u8d85\u5e7e\u4f55\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u305d\u306e\u3059\u3079\u3066\u306e\u7279\u5fb4\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u4f8b\u3068\u8d85\u5e7e\u4f55\u5206\u5e03\u8a08\u7b97\u30c4\u30fc\u30eb\u4ed8\u304d\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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