{"id":231,"date":"2023-08-03T20:48:38","date_gmt":"2023-08-03T20:48:38","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e4%ba%8c%e9%a0%85%e5%88%86%e5%b8%83-1\/"},"modified":"2023-08-03T20:48:38","modified_gmt":"2023-08-03T20:48:38","slug":"%e4%ba%8c%e9%a0%85%e5%88%86%e5%b8%83-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e4%ba%8c%e9%a0%85%e5%88%86%e5%b8%83-1\/","title":{"rendered":"\u4e8c\u9805\u5206\u5e03"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u4e8c\u9805\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u308c\u304c\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306e\u5b9a\u7fa9\u3001\u4e8c\u9805\u5206\u5e03\u306e\u4f8b\u3001\u304a\u3088\u3073\u3053\u306e\u30bf\u30a4\u30d7\u306e\u78ba\u7387\u5206\u5e03\u306e\u7279\u6027\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-binomial\"><\/span>\u4e8c\u9805\u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e8c\u9805\u5206\u5e03\u306f<\/strong>\u3001\u4e00\u5b9a\u306e\u6210\u529f\u78ba\u7387\u3067\u4e00\u9023\u306e\u72ec\u7acb\u3057\u305f\u4e8c\u5206\u5b9f\u9a13\u3092\u5b9f\u884c\u3057\u305f\u5834\u5408\u306e\u6210\u529f\u6570\u3092\u30ab\u30a6\u30f3\u30c8\u3059\u308b\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002<\/p>\n<p>\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u4e8c\u9805\u5206\u5e03\u306f\u3001\u4e00\u9023\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u6210\u529f\u3057\u305f\u7d50\u679c\u306e\u6570\u3092\u8a18\u8ff0\u3059\u308b\u5206\u5e03\u3067\u3059\u3002<\/p>\n<p>\u30d9\u30eb\u30cc\u30fc\u30a4 \u30c6\u30b9\u30c8\u306f\u3001\u300c\u6210\u529f\u300d\u3068\u300c\u5931\u6557\u300d\u3068\u3044\u3046 2 \u3064\u306e\u7d50\u679c\u304c\u8003\u3048\u3089\u308c\u308b\u5b9f\u9a13\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u300c\u6210\u529f\u300d\u306e\u78ba\u7387\u3092<em>p<\/em>\u3068\u3059\u308b\u3068\u3001\u300c\u5931\u6557\u300d\u306e\u78ba\u7387\u306f<em>q=1-p<\/em>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u822c\u306b\u3001\u5b9f\u884c\u3055\u308c\u308b\u5b9f\u9a13\u306e\u7dcf\u6570\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>n<\/em>\u3067\u5b9a\u7fa9\u3055\u308c\u3001 <em>p<\/em>\u306f\u5404\u5b9f\u9a13\u306e\u6210\u529f\u78ba\u7387\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u8a18\u8ff0\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-2f2b2be5bfe6c63bd13c552f4c893f59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(n,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e8c\u9805\u5206\u5e03\u3067\u306f\u3001\u307e\u3063\u305f\u304f\u540c\u3058\u5b9f\u9a13\u304c<em>n<\/em>\u56de\u7e70\u308a\u8fd4\u3055\u308c\u3001\u5b9f\u9a13\u306f\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u5404\u5b9f\u9a13\u306e\u6210\u529f\u78ba\u7387\u306f\u540c\u3058<em>(p)<\/em>\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u4e8c\u9805\u5206\u5e03\u306f\u3001<strong>\u4e8c\u9805\u5206\u5e03<\/strong>\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-distribucion-binomial\"><\/span>\u4e8c\u9805\u5206\u5e03\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u9805\u5206\u5e03\u306e\u5b9a\u7fa9\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u6982\u5ff5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5206\u5e03\u306b\u5f93\u3046\u5909\u6570\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u30b3\u30a4\u30f3\u309225\u56de\u6295\u3052\u305f\u3068\u304d\u306b\u8868\u304c\u51fa\u308b\u56de\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u30d0\u30b9\u30b1\u30c3\u30c8\u30dc\u30fc\u30eb\u9078\u624b\u304c\u540c\u3058\u5834\u6240\u304b\u3089\u30d0\u30b9\u30b1\u30c3\u30c8\u306b\u5411\u304b\u3063\u306660\u56de\u30b7\u30e5\u30fc\u30c8\u3092\u6253\u3063\u305f\u3068\u304d\u306e\u30b7\u30e5\u30fc\u30c8\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u30b5\u30a4\u30b3\u30ed\u309230\u56de\u632f\u3063\u30666\u306e\u76ee\u304c\u51fa\u305f\u56de\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5408\u8a08 50 \u4eba\u306e\u53d7\u9a13\u8005\u306e\u3046\u3061\u306e\u5408\u683c\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">100 \u88fd\u54c1\u306e\u30b5\u30f3\u30d7\u30eb\u5185\u306e\u4e0d\u826f\u30e6\u30cb\u30c3\u30c8\u306e\u6570\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-binomial\"><\/span>\u4e8c\u9805\u5206\u5e03\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>x\u3001n\u3001p \u304c\u4e0e\u3048\u3089\u308c\u308b\u3068\u3001<\/em>\u4e8c\u9805\u5206\u5e03\u306e\u78ba\u7387\u95a2\u6570\u306f\u3001 <em>x<\/em>\u500d<em>p <sup>x<\/sup><\/em>\u500d<em>(1-p) <sup>nx<\/sup><\/em>\u306b\u304a\u3051\u308b<em>n<\/em>\u306e\u7d44\u307f\u5408\u308f\u305b\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u4e8c\u9805\u5206\u5e03\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b<\/strong>\u306a\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-binomiale.png\" alt=\"\u4e8c\u9805\u5206\u5e03\u5f0f\" class=\"wp-image-4636\" width=\"291\" height=\"290\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u4ee5\u4e0b\u306e\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306b\u5f93\u3046\u5909\u6570\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/u><\/p>\n<p>\u4e00\u65b9\u3001\u4e8c\u9805\u5206\u5e03\u306e\u7d2f\u7a4d\u78ba\u7387\u306f\u3001\u554f\u984c\u306e\u6210\u529f\u4e8b\u4f8b\u306e\u6570\u306e\u78ba\u7387\u3068\u4ee5\u524d\u306e\u3059\u3079\u3066\u306e\u78ba\u7387\u3092\u52a0\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306e\u7d2f\u7a4d\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\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-e31ef4ae023b8bf51c0b6816bc787c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\sum_{k=0}^x\\begin{pmatrix}n\\\\k\\end{pmatrix}p^k(1-p)^{n-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"262\" style=\"vertical-align: -22px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-binomial\"><\/span>\u4e8c\u9805\u5206\u5e03\u306b\u95a2\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\u30b3\u30a4\u30f3\u3092 10 \u56de\u6295\u3052\u307e\u3059\u304c\u30016 \u3064\u306e\u8868\u304c\u51fa\u308b\u78ba\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/li>\n<\/ul>\n<p>\u3059\u3079\u3066\u306e\u6253\u3061\u4e0a\u3052\u306f\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u304a\u308a\u3001\u6210\u529f\u306e\u78ba\u7387\u3082\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u554f\u984c\u306e\u5909\u6570\u306f\u4e8c\u9805\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306b\u306f\u30012 \u3064\u306e\u53ef\u80fd\u306a\u7d50\u679c\u306e\u3046\u3061 1 \u3064\u3060\u3051\u304c\u6210\u529f\u3068\u307f\u306a\u3055\u308c\u308b\u305f\u3081\u3001\u6210\u529f\u306e\u78ba\u7387\u306f 50% \u3067\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-bdceac6409b69d142f23801ec85e2691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u6f14\u7fd2\u306e\u5206\u5e03\u306f\u3001\u5408\u8a08 10 \u56de\u306e\u5b9f\u9a13\u3068\u78ba\u7387 0.5 \u306e\u4e8c\u9805\u5206\u5e03\u306b\u306a\u308a\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-b460c8983298ba0cf52c05f460905732_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(10 ; 0,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30016 \u3064\u306e\u8868\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u3092\u6c7a\u5b9a\u3059\u308b\u306b\u306f\u3001\u4e8c\u9805\u5206\u5e03\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\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-17346d59c641378880b734dfe88210f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\begin{pmatrix}n\\\\x\\end{pmatrix}p^x(1-p)^{n-x}\\\\[2ex]P[X=6]&amp;=\\begin{pmatrix}10\\\\6\\end{pmatrix}0,5^6(1-0,5)^{10-6}\\\\[2ex]P[X=6]&amp;=0,2051\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"279\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30b3\u30a4\u30f3\u3092 10 \u56de\u6295\u3052\u3066\u3061\u3087\u3046\u3069 6 \u3064\u306e\u8868\u304c\u51fa\u308b\u78ba\u7387\u306f 20.51% \u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-binomial\"><\/span>\u4e8c\u9805\u5206\u5e03\u306e\u7279\u5fb4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u9805\u5206\u5e03\u306b\u306f\u6b21\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u4e8c\u9805\u5206\u5e03\u306f 2 \u3064\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002n<em>\u306f<\/em>\u30d9\u30eb\u30cc\u30fc\u30a4\u5b9f\u9a13\u306e\u7dcf\u6570\u3001 <em>p<\/em>\u306f\u5404\u30d9\u30eb\u30cc\u30fc\u30a4\u5b9f\u9a13\u306e\u6210\u529f\u78ba\u7387\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-cd9728a237a5f49107bf14f440620936_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\\\[2ex]n\\geq 0\\\\[2ex]0\\leq p\\leq 1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"108\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e8c\u9805\u5206\u5e03\u306e\u5e73\u5747\u306f\u3001\u5b9f\u9a13\u306e\u7dcf\u6570\u3068\u5404\u5b9f\u9a13\u306e\u6210\u529f\u78ba\u7387\u306e\u7a4d\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306e\u5e73\u5747\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001 <em>n<\/em>\u306b<em>p<\/em>\u3092\u4e57\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\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-65db1683dc8790001072c564aadf3631_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=n\\cdot p\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e8c\u9805\u5206\u5e03\u306e\u5206\u6563\u306f\u3001\u8a66\u884c\u306e\u7dcf\u6570\u306b\u6210\u529f\u306e\u78ba\u7387\u3068\u5931\u6557\u306e\u78ba\u7387\u3092\u639b\u3051\u305f\u3082\u306e\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-103608d604d211c1bd995dd3f982d11b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=n\\cdot p\\cdot (1-p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e8c\u9805\u5206\u5e03\u306e\u78ba\u7387\u95a2\u6570\u306e\u5f0f\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-3ab3244961c8b68181859f8a87b2811c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]&amp;=\\begin{pmatrix}n\\\\ x\\end{pmatrix}p^x(1-p)^{n-x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"235\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u540c\u69d8\u306b\u3001\u4e8c\u9805\u5206\u5e03\u306e\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306e\u5f0f\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-e31ef4ae023b8bf51c0b6816bc787c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\sum_{k=0}^x\\begin{pmatrix}n\\\\k\\end{pmatrix}p^k(1-p)^{n-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"262\" style=\"vertical-align: -22px;\"><\/p>\n<\/p>\n<ul>\n<li>\u540c\u3058\u78ba\u7387\u3092\u6301\u3064 2 \u3064\u306e\u72ec\u7acb\u3057\u305f\u4e8c\u9805\u5206\u5e03\u306e\u5408\u8a08\u306f\u3001\u540c\u3058\u78ba\u7387\u5024<em>p<\/em>\u3092\u6301\u3064\u4e8c\u9805\u5206\u5e03\u3068\u7b49\u4fa1\u3067\u3042\u308a\u3001 <em>n<\/em>\u306f 2 \u3064\u306e\u5206\u5e03\u306e\u5408\u8a08\u8a66\u884c\u6570\u306e\u5408\u8a08\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-dbc1a01b2d5654864d688cc46ac3a2e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\qquad Y\\sim\\text{Bin}(m,p)\\\\[4ex]Z=X+Y \\sim\\text{Bin}(n+m,p)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"254\" style=\"vertical-align: 0px;\"><\/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-9fed580dc5cfbce19048124974a1fa41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[Z=z]=\\begin{pmatrix}n+m\\\\z\\end{pmatrix}p^z(1-p)^{n+m-z}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"289\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306f\u3001 <em>n=1<\/em> \u3001\u3064\u307e\u308a 1 \u56de\u306e\u5b9f\u9a13\u306e\u307f\u304c\u5b9f\u884c\u3055\u308c\u308b\u4e8c\u9805\u5206\u5e03\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\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-919200bea19252a9f6bee424ad48908d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(1,p) \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad X\\sim\\text{Bernoulli}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"397\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <em><sub>X<\/sub> <sub>1<\/sub><\/em> <em>\u3001<\/em> <em><sub>X<\/sub> <sub>2<\/sub> \u3001\u2026\u3001X <sub>k \u304c<\/sub><\/em>\u6b21\u306e\u3088\u3046\u306a\u72ec\u7acb\u3057\u305f\u78ba\u7387\u5909\u6570\u3067\u3042\u308b\u5834\u5408\u3001 <\/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-1bc264e1007f09c3701e65ae678115b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sum_{i=1}^k X_i\\sim \\text{Bin}\\left(\\sum_{i=1}^k n_i,p\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"188\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-binomial\"><\/span>\u4e8c\u9805\u5206\u5e03\u8a08\u7b97\u6a5f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u9805\u5206\u5e03\u306e\u30d1\u30e9\u30e1\u30fc\u30bf<em>p\u3001n<\/em> \u3001 <em>x<\/em>\u306e\u5024\u3092\u6b21\u306e\u8a08\u7b97\u6a5f\u306b\u5165\u529b\u3057\u3066\u3001\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u8a08\u7b97\u3059\u308b\u78ba\u7387\u3092\u9078\u629e\u3057\u3001\u5c0f\u6570\u70b9\u533a\u5207\u308a\u3068\u3057\u3066\u30c9\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u3066\u6570\u5024\u3092\u5165\u529b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059 (\u4f8b: 0.1667)\u3002<\/p>\n<form action=\"\" method=\"post\">\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span>\u5404\u5b9f\u9a13\u306e\u6210\u529f\u78ba\u7387<span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e67f693705a2e492d8981f0ed1387c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p = \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span> <input name=\"prob\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce la probabilidad de \u00e9xito de cada experimento aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span>\u5b9f\u65bd\u3055\u308c\u305f\u5b9f\u9a13\u306e\u7dcf\u6570<span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-17b8c0c4e843e448cbe5846755391d66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n = \" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"29\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"n\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero total de experimentos realizados aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:5%\"> <span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span>\u6210\u529f\u3057\u305f\u5b9f\u9a13\u306e\u6570: <\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" checked=\"\" value=\"probigual\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-95a78799e4906daa08ea620a942c61bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X=\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p><input name=\"xigual\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcolaizquierda\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-305e8313d9decdf3d650c7f6898a8430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\leq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmenor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcoladerecha\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a8500b9856a735bc31ea1a371fc0fe88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\geq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmayor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probentre\"><input name=\"xentre1\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4459b2c5c9a9dd4efd3c3c155cb80bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\leq X\\leq \" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"52\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xentre2\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\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","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u4e8c\u9805\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u308c\u304c\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306e\u5b9a\u7fa9\u3001\u4e8c\u9805\u5206\u5e03\u306e\u4f8b\u3001\u304a\u3088\u3073\u3053\u306e\u30bf\u30a4\u30d7\u306e\u78ba\u7387\u5206\u5e03\u306e\u7279\u6027\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206 [&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-231","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>\u25b7 \u4e8c\u9805\u5206\u5e03 - \u78ba\u7387\u3068\u7d71\u8a08<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u4e8c\u9805\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u308c\u304c\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u308c\u3067\u3001\u5206\u5e03\u306e\u5b9a\u7fa9\u304c\u308f\u304b\u308a\u307e\u3059 \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, 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