{"id":34168,"date":"2021-05-12T13:00:02","date_gmt":"2021-05-12T13:00:02","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34168"},"modified":"2025-08-16T10:58:43","modified_gmt":"2025-08-16T10:58:43","slug":"%e3%83%99%e3%83%ab%e3%83%8c%e3%83%bc%e3%82%a4%e8%a9%a6%e8%a1%8c%e3%81%a8%e4%ba%8c%e9%a0%85%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e3%83%99%e3%83%ab%e3%83%8c%e3%83%bc%e3%82%a4%e8%a9%a6%e8%a1%8c%e3%81%a8%e4%ba%8c%e9%a0%85%e5%88%86%e5%b8%83\/","title":{"rendered":"\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u4e8c\u9805\u5206\u5e03"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u4e8c\u9805\u5206\u5e03<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\"><strong>\u6982\u8981<\/strong><br \/><em>\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u6982\u5ff5\u3068\u305d\u306e\u78ba\u7387\u8ad6\u306b\u304a\u3051\u308b\u542b\u610f\u3092\u5b66\u3073\u307e\u3059\u3002\u307e\u305a\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u8a73\u7d30\u306a\u5b9a\u7fa9\u304b\u3089\u59cb\u3081\u3001\u305d\u306e\u5f8c\u3001\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027\u306e\u6982\u5ff5\u3092\u53d6\u308a\u4e0a\u3052\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u8003\u3048\u3092\u660e\u78ba\u306b\u3057\u305f\u5f8c\u3001\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u7e70\u308a\u8fd4\u3057\u304c\u3069\u306e\u3088\u3046\u306b\u4e8c\u9805\u5206\u5e03\u3092\u3082\u3064\u7d50\u679c\u3092\u751f\u3080\u304b\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u4e8c\u9805\u5b9a\u7406\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3053\u308c\u3089\u306e\u6982\u5ff5\u3092\u5fdc\u7528\u3057\u5f37\u5316\u3059\u308b\u305f\u3081\u306e\u5b9f\u8df5\u7684\u306a\u6f14\u7fd2\u3092\u63d0\u793a\u3057\u307e\u3059\u3002<\/em><\/p>\n<p><\/center><br \/>\n<\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n\u3053\u306e\u8b1b\u7fa9\u3092\u7d42\u3048\u305f\u5f8c\u3001\u5b66\u751f\u306f\u4ee5\u4e0b\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059:\n<\/p>\n<ol>\n<li><strong>\u8b58\u5225\u3059\u308b<\/strong> \u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u4e3b\u306a\u7279\u5fb4\u3092\u3001\u8a66\u884c\u9593\u306e\u72ec\u7acb\u6027\u3092\u542b\u3081\u3066\u3002<\/li>\n<li><strong>\u9069\u7528\u3059\u308b<\/strong> \u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u304b\u3089\u5c0e\u304b\u308c\u308b\u4e8c\u9805\u4e8b\u8c61\u306e\u8868\u8a18\u6cd5\u3092\u6b63\u3057\u304f\u3002<\/li>\n<li><strong>\u533a\u5225\u3059\u308b<\/strong> \u69d8\u3005\u306a\u5f62\u306e\u72ec\u7acb\u6027\uff082-\u72ec\u7acb\u6027\u30013-\u72ec\u7acb\u6027\u3001n-\u72ec\u7acb\u6027\uff09\u3092\u3001\u305d\u308c\u3089\u306e\u95a2\u4fc2\u304a\u3088\u3073\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306b\u304a\u3051\u308b\u9069\u7528\u3092\u7406\u89e3\u3059\u308b\u3002<\/li>\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u4e8c\u9805\u5b9a\u7406\u3068\u306e\u95a2\u4fc2\u3092\u3001\u305d\u3057\u3066\u3053\u306e\u95a2\u4fc2\u304c\u4e00\u9023\u306e\u6210\u529f\u3068\u5931\u6557\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u3069\u306e\u3088\u3046\u306b\u5229\u7528\u3067\u304d\u308b\u304b\u3002<\/li>\n<li><strong>\u9069\u7528\u3059\u308b<\/strong> \u4e8c\u9805\u5206\u5e03\uff08\u307e\u305f\u306f\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\uff09\u3092\u7528\u3044\u3066\u3001\u4e00\u9023\u306e\u8a66\u884c\u306b\u304a\u3051\u308b\u4e00\u5b9a\u6570\u306e\u6210\u529f\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3002<\/li>\n<\/ol>\n<p><center><br \/>\n<strong><u>\u76ee\u6b21<\/u>:<\/strong><br \/>\n<a href=\"#1\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c<\/a><br \/>\n<a href=\"#2\">\u69d8\u3005\u306a\u5f62\u306e\u72ec\u7acb\u6027<\/a><br \/>\n<a href=\"#3\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u4e8c\u9805\u5b9a\u7406<\/a><br \/>\n<a href=\"#4\">\u4e8c\u9805\u5206\u5e03\uff08\u307e\u305f\u306f\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\uff09\u3068\u78ba\u7387\u5206\u5e03<\/a><br \/>\n<a href=\"#5\">\u6f14\u7fd2:<\/a><br \/>\n<\/center><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/uyljDy0bcvU\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c<\/h2>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=103s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u306f\u3001\u30e9\u30f3\u30c0\u30e0\u306a\u5b9f\u9a13\u3067\u3042\u308b<\/span><\/strong><\/a> \u4e8c\u9805\u7684\u3067\u3001\u3042\u308b\u78ba\u7387 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p.<\/span><\/span> \u306b\u3088\u3063\u3066\u6210\u529f\u3057\u307e\u3059\u3002\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3092 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u540c\u4e00\u304b\u3064\u72ec\u7acb\u306b\u7e70\u308a\u8fd4\u3059\u3068\u3001<strong>\u30d9\u30eb\u30cc\u30fc\u30a4\u4e8b\u8c61<\/strong> \u304c\u5f97\u3089\u308c\u307e\u3059: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u8a66\u884c\u306e\u3046\u3061\u3001\u3042\u308b\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u306e\u6210\u529f\u3067\u3059\u3002\u3053\u308c\u3089\u306f<strong>\u4e8c\u9805\u4e8b\u8c61<\/strong>\u3068\u3082\u547c\u3070\u308c\u3001\u6b21\u306e\u8868\u8a18\u6cd5\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle Bi(n;k;p)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color:\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u3082\u3046\u4e00\u3064\u306e\u91cd\u8981\u306a\u7279\u5fb4\u306f\u3001\u3059\u3079\u3066\u306e\u8a66\u884c\u304c\u4e92\u3044\u306b\u72ec\u7acb\u3067\u3042\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<p style=\"text-align: justify; color:\"><span style=\"color: #000080;\">\u4f8b:<\/span> 6 \u9762\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u7e70\u308a\u8fd4\u3057\u6295\u3052\u308b\u3002 \u3053\u306e\u5b9f\u9a13\u306b\u304a\u3051\u308b\u30d9\u30eb\u30cc\u30fc\u30a4\u578b\u4e8b\u8c61\u306e\u4f8b\u306f\u6b21\u306e\u901a\u308a\u3067\u3059:<\/p>\n<ul style=\"text-align: justify; color:\">\n<li><strong>5 \u56de\u306e\u8a66\u884c\u3067 3 \u56de\u30a8\u30fc\u30b9\u3092\u51fa\u3059:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(5;3;1\/6)<\/span><\/span> \u3067\u8868\u3055\u308c\u308b<\/li>\n<li><strong>12 \u56de\u306e\u8a66\u884c\u3067 7 \u56de\u5076\u6570\u3092\u51fa\u3059:<\/strong> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">Bi(12;7;1\/3)<\/span><\/span> \u3067\u8868\u3055\u308c\u308b<\/li>\n<\/ul>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u69d8\u3005\u306a\u5f62\u306e\u72ec\u7acb\u6027<\/h3>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=283s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306b\u304a\u3044\u3066\u884c\u308f\u308c\u308b\u8a66\u884c\u9593\u306e\u72ec\u7acb\u6027<\/span><\/strong><\/a> \u306f\u3001\u3059\u3067\u306b\u5b66\u3093\u3060\u72ec\u7acb\u6027\u3068\u306f\u6b63\u78ba\u306b\u306f\u540c\u3058\u3067\u306f\u306a\u304f\u3001\u306f\u308b\u304b\u306b\u5236\u9650\u3055\u308c\u305f\u30d0\u30fc\u30b8\u30e7\u30f3\u3067\u3059\u3002\u3053\u306e\u9055\u3044\u3092\u8aac\u660e\u3059\u308b\u305f\u3081\u306b\u3001\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027\u306e\u7a2e\u985e\u3092\u8abf\u3079\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h4>2-\u72ec\u7acb\u6027<\/h4>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/toposuranos.com\/probabilidad-condicional-e-independencia-entre-eventos\/\" rel=\"noopener\" target=\"_blank\">\u3059\u3067\u306b\u77e5\u3063\u3066\u3044\u308b\u72ec\u7acb\u6027<\/a> \u306f\u30012 \u3064\u306e\u4e8b\u8c61\u306e\u9593\u306b\u6210\u308a\u7acb\u3064\u3082\u306e\u3067\u3042\u308a\u3001\u3053\u308c\u3092\u300c2-\u72ec\u7acb\u6027\u300d\u3068\u547c\u3073\u307e\u3059\u3002\u3053\u306e\u7528\u8a9e\u3067\u306f\u3001\u4e8b\u8c61 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/span> \u3068 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u304c 2-\u72ec\u7acb\u3067\u3042\u308b\u3068\u306f\u6b21\u306e\u6761\u4ef6\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B) = P(A)P(B)<\/span><\/span><\/p>\n<h4>3-\u72ec\u7acb\u6027<\/h4>\n<p style=\"text-align: justify; color:\">\u540c\u69d8\u306b\u3057\u3066\u30013 \u3064\u306e\u4e8b\u8c61 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u306e\u9593\u306e 3-\u72ec\u7acb\u6027\u306f\u3001\u6b21\u306e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(A\\cap B\\cap C) = P(A)P(B)P(C)<\/span><\/span><\/p>\n<p style=\"text-align: justify; color:\">\u91cd\u8981\u306a\u306e\u306f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A,<\/span><\/span> <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">C<\/span><\/span> \u306e\u9593\u306e 2-\u72ec\u7acb\u6027\u304c\u5fc5\u305a\u3057\u3082 3-\u72ec\u7acb\u6027\u3092\u610f\u5473\u3059\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u3068\u3044\u3046\u70b9\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u9006\u306e\u5834\u5408\u306b\u306f\u305d\u306e\u542b\u610f\u306f\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<h4>\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306b\u304a\u3051\u308b n-\u72ec\u7acb\u6027<\/h4>\n<p style=\"text-align: justify; color:\">\u524d\u306e\u5b9a\u7fa9\u3068\u540c\u69d8\u306b\u3001\u4e8b\u8c61\u306e\u96c6\u5408 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">A_1, \\cdots, A_n<\/span><\/span> \u306e\u9593\u306e n-\u72ec\u7acb\u6027\u306f\u6b21\u306e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle P\\left(\\bigcap_{i=1}^n A_i\\right) = \\prod_{i=1}^n P(A_i) <\/span><\/span><\/p>\n<p style=\"text-align: justify; color:\">\u305d\u3057\u3066\u540c\u69d8\u306b\u6b21\u306e\u3053\u3068\u304c\u6210\u308a\u7acb\u3061\u307e\u3059:<\/p>\n<table style=\"color:\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(n-1)<\/span><\/span>-\u72ec\u7acb\u6027\u306f\u5fc5\u305a\u3057\u3082 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u72ec\u7acb\u6027\u3092\u610f\u5473\u3057\u306a\u3044<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u72ec\u7acb\u6027 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Longrightarrow<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">(n-1)<\/span><\/span>-\u72ec\u7acb\u6027<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color:\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306b\u304a\u3051\u308b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u7e70\u308a\u8fd4\u3057\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span>-\u72ec\u7acb\u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u4e8c\u9805\u5b9a\u7406<\/h2>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=478s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6210\u529f\u3068\u5931\u6557\u306e\u5b9f\u9a13\u3092\u8003\u3048\u308b<\/span><\/strong><\/a> \u6210\u529f\u306e\u78ba\u7387\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p<\/span><\/span> \u3067\u3042\u308b\u5834\u5408\u3001\u5404\u8a66\u884c\u3067\u5931\u6557\u3059\u308b\u78ba\u7387\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1-p<\/span><\/span> \u3068\u306a\u308a\u307e\u3059\u3002\u5404\u8a66\u884c\u306b\u304a\u3044\u3066\u6210\u529f\u307e\u305f\u306f\u5931\u6557\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f 1 \u3067\u3042\u308a\u3001\u3059\u3079\u3066\u306e\u8a66\u884c\u304c\u72ec\u7acb\u3067\u3042\u308b\u305f\u3081\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u8a66\u884c\u306b\u304a\u3044\u3066\u6210\u529f\u307e\u305f\u306f\u5931\u6557\u304c\u8d77\u3053\u308b\u78ba\u7387\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1^n.<\/span><\/span> \u3057\u305f\u304c\u3063\u3066\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059:<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Large \\displaystyle 1 = 1^n = [p + (1-p)]^n = \\sum_{k=0}^n {{n}\\choose{k}} p^k(1-p)^{n-k} <\/span><\/span><\/p>\n<p style=\"text-align: justify; color:\">\u6700\u5f8c\u306e\u7b49\u5f0f\u3067\u306f <a href=\"https:\/\/toposuranos.com\/ejercicios-de-induccion-matematica-teorema-del-binomio-de-newton\/\" rel=\"noopener\" target=\"_blank\">\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e8c\u9805\u5b9a\u7406<\/a> \u304c\u9069\u7528\u3055\u308c\u3066\u304a\u308a\u3001\u7dcf\u548c\u306e\u4e2d\u306e\u5404\u9805\u306f\u6b21\u306e\u3088\u3046\u306b\u89e3\u91c8\u3067\u304d\u307e\u3059:<\/p>\n<ul style=\"text-align: justify; color:\">\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{k}}<\/span><\/span>: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u8a66\u884c\u3067 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u56de\u6210\u529f\u304c\u8d77\u3053\u308b\u65b9\u6cd5\u306e\u6570<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">p^k<\/span><\/span>: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u56de\u306e\u72ec\u7acb\u3057\u305f\u6210\u529f\u304c\u8d77\u3053\u308b\u78ba\u7387<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(1-p)^{n-k}<\/span><\/span>: <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-k<\/span><\/span> \u56de\u306e\u72ec\u7acb\u3057\u305f\u5931\u6557\u304c\u8d77\u3053\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p style=\"text-align: justify; color:\">\u3053\u308c\u3089\u306e\u8981\u7d20\u3092\u548c\u306e\u5f62\u306b\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u8a66\u884c\u306e\u3046\u3061 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">k<\/span><\/span> \u56de\u6210\u529f\u3059\u308b\u78ba\u7387\u3001\u3042\u308b\u3044\u306f\u540c\u7b49\u306b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u8a66\u884c\u306e\u3046\u3061 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-k<\/span><\/span> \u56de\u5931\u6557\u3059\u308b\u78ba\u7387\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify; color:\">\u5404\u9805\u3092\u5206\u3051\u3066\u898b\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306a\u78ba\u7387\u304c\u5f97\u3089\u308c\u307e\u3059:<\/p>\n<table style=\"text-align: justify; color:\">\n<tbody>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{0}} p^0(1-p)^{n-0} = (1-p)^n<\/span><\/span><\/td>\n<td>n \u56de\u306e\u8a66\u884c\u3067 0 \u56de\u6210\u529f<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{1}} p^1(1-p)^{n-1} = n p(1-p)^{n-1}<\/span><\/span><\/td>\n<td>n \u56de\u306e\u8a66\u884c\u3067 1 \u56de\u6210\u529f<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{2}} p^2(1-p)^{n-2}<\/span><\/span><\/td>\n<td>n \u56de\u306e\u8a66\u884c\u3067 2 \u56de\u6210\u529f<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{k}} p^k(1-p)^{n-k}<\/span><\/span><\/td>\n<td>n \u56de\u306e\u8a66\u884c\u3067 k \u56de\u6210\u529f<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vdots<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{n-1}} p^{n-1}(1-p)^{n-(n-1)} = n p^{n-1}(1-p)<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n-1<\/span><\/span> \u56de\u6210\u529f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u8a66\u884c\u306e\u4e2d\u3067<\/td>\n<\/tr>\n<tr>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle {{n}\\choose{n}} p^{n}(1-p)^{0} = p^{n}<\/span><\/span><\/td>\n<td><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u6210\u529f\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n<\/span><\/span> \u56de\u306e\u8a66\u884c\u306e\u4e2d\u3067<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify; color:\">\u305d\u3057\u3066\u3001\u3053\u308c\u3089\u3059\u3079\u3066\u306e\u548c\u306f\u3059\u3067\u306b\u898b\u305f\u3088\u3046\u306b\u300c1\u300d\u3068\u306a\u308a\u3001\u3059\u3079\u3066\u306e\u53ef\u80fd\u6027\u304c\u7db2\u7f85\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p style=\"text-align: justify; color:\">\u3053\u3053\u304b\u3089 <strong>\u30d9\u30eb\u30cc\u30fc\u30a4\u4e8b\u8c61\u306e\u78ba\u7387<\/strong> \u304c\u5b9a\u7fa9\u3055\u308c\u307e\u3059:<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\Large \\color{blue}{P(Bi(n;k;p)) = {{n}\\choose{k}}p^k(1-p)^{n-k}}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color:\">\u307e\u305f\u306f\u6b21\u306e\u3088\u3046\u306b\u3082\u8a00\u3044\u307e\u3059: <strong>\u6210\u529f\u306e\u56de\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u306f\u4e8c\u9805\u5206\u5e03\u306b\u5f93\u3046:<\/strong><\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{\\Large \\displaystyle X\\sim Bi(n;p) \\longmapsto P(X=x) = {{n}\\choose{x}}p^x(1-p)^{n-x}}<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u4e8c\u9805\u5206\u5e03\uff08\u307e\u305f\u306f\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\uff09\u3068\u78ba\u7387\u5206\u5e03<\/h3>\n<p style=\"text-align: justify; color:\"><a href=\"https:\/\/www.youtube.com\/watch?v=uyljDy0bcvU&amp;t=779s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u4e8c\u9805\u5206\u5e03\u3092\u901a\u3058\u3066<\/span><\/strong><\/a> \u78ba\u7387\u5206\u5e03\u304a\u3088\u3073\u78ba\u7387\u5909\u6570\u306e\u6700\u521d\u306e\u6982\u5ff5\u3092\u6301\u3061\u59cb\u3081\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\uff08\u96e2\u6563\u7684\u306a\uff09\u78ba\u7387\u5909\u6570\u306f\u6210\u529f\u56de\u6570\u306b\u95a2\u9023\u3057\u3066\u304a\u308a\u3001\u305d\u306e\u78ba\u7387\u5206\u5e03\u306f\u4e8c\u9805\u5b9a\u7406\u306e\u9805\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<p style=\"text-align: center; color:\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">{\\Large \\displaystyle P(X=x) = {{n}\\choose{x}}p^x(1-p)^{n-x}}<\/span><\/span><\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/36s4rcfQn7M\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><br \/>\n<a name=\"5\"><\/a><\/p>\n<h2>\u6f14\u7fd2:<\/h2>\n<ol style=\"text-align: justify; color:\">\n<li>6 \u9762\u306e\u516c\u5e73\u306a\u30b5\u30a4\u30b3\u30ed\u3092 5 \u56de\u6295\u3052\u308b\u3002\u5076\u6570\u306e\u76ee\u304c 3 \u56de\u51fa\u308b\u78ba\u7387\u3092\u8a08\u7b97\u305b\u3088\u3002<\/li>\n<li>\u30b3\u30a4\u30f3\u3092 10 \u56de\u6295\u3052\u308b\u30020 \u304b\u3089 10 \u56de\u8868\u304c\u51fa\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3001\u305d\u308c\u305e\u308c\u306e\u7d50\u679c\u306b\u5bfe\u3059\u308b\u78ba\u7387\u3092\u793a\u3059\u30b0\u30e9\u30d5\u3092\u4f5c\u6210\u305b\u3088\u3002\u6295\u3052\u308b\u56de\u6570\u3092\u5897\u3084\u3057\u30010 \u304b\u3089\u305d\u306e\u6295\u3052\u305f\u56de\u6570\u307e\u3067\u306e\u8868\u304c\u51fa\u308b\u78ba\u7387\u3092\u8abf\u3079\u308b\u3068\u3001\u30b0\u30e9\u30d5\u306f\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u304b\u3002\u3053\u3053\u3067\u306f Excel \u306e\u30b7\u30fc\u30c8\u304c\u5f79\u7acb\u3064\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/li>\n<li>\u5168\u4f53\u3067 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">s<\/span><\/span> \u500b\u306e\u7389\u304c\u5165\u3063\u305f\u62bd\u9078\u5668\u304c\u3042\u308a\u3001\u305d\u306e\u3046\u3061 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">r<\/span><\/span> \u500b\u304c\u91d1\u8272\u3067\u3001\u6b8b\u308a\u306f\u767d\u8272\u3067\u3042\u308b\u3002\u3059\u3079\u3066\u3092\u6df7\u305c\u30011 \u500b\u3092\u7121\u4f5c\u70ba\u306b\u53d6\u308a\u51fa\u3057\u3001\u91d1\u8272\u304c\u51fa\u305f\u3089\u52dd\u3061\u3068\u3059\u308b\u3002\u3053\u306e\u5b9f\u9a13\u3092\u540c\u4e00\u306b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">20<\/span><\/span> \u56de\u7e70\u308a\u8fd4\u3059\u3068\u304d\u3001\u5404\u53ef\u80fd\u306a\u5024 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0\\leq r\\leq s.<\/span><\/span> \u306b\u5bfe\u3057\u3066\u6700\u3082\u8d77\u3053\u308a\u3084\u3059\u3044\u52dd\u5229\u306e\u56de\u6570\u3092\u63a8\u5b9a\u305b\u3088\u3002\u3053\u3053\u3067\u3082 Excel \u306e\u30b7\u30fc\u30c8\u304c\u5f79\u7acb\u3064\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u4e8c\u9805\u5206\u5e03 \u6982\u8981\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u6982\u5ff5\u3068\u305d\u306e\u78ba\u7387\u8ad6\u306b\u304a\u3051\u308b\u542b\u610f\u3092\u5b66\u3073\u307e\u3059\u3002\u307e\u305a\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u8a73\u7d30\u306a\u5b9a\u7fa9\u304b\u3089\u59cb\u3081\u3001\u305d\u306e\u5f8c\u3001\u4e8b\u8c61\u9593\u306e\u72ec\u7acb\u6027\u306e\u6982\u5ff5\u3092\u53d6\u308a\u4e0a\u3052\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u8003\u3048\u3092\u660e\u78ba\u306b\u3057\u305f\u5f8c\u3001\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u7e70\u308a\u8fd4\u3057\u304c\u3069\u306e\u3088\u3046\u306b\u4e8c\u9805\u5206\u5e03\u3092\u3082\u3064\u7d50\u679c\u3092\u751f\u3080\u304b\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u4e8c\u9805\u5b9a\u7406\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u3053\u308c\u3089\u306e\u6982\u5ff5\u3092\u5fdc\u7528\u3057\u5f37\u5316\u3059\u308b\u305f\u3081\u306e\u5b9f\u8df5\u7684\u306a\u6f14\u7fd2\u3092\u63d0\u793a\u3057\u307e\u3059\u3002 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