{"id":110,"date":"2023-08-05T08:29:06","date_gmt":"2023-08-05T08:29:06","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%af%86%e5%ba%a6%e9%96%a2%e6%95%b0\/"},"modified":"2023-08-05T08:29:06","modified_gmt":"2023-08-05T08:29:06","slug":"%e5%af%86%e5%ba%a6%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%af%86%e5%ba%a6%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u5bc6\u5ea6\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5bc6\u5ea6\u95a2\u6570\u3068\u306f\u4f55\u304b\u3001\u5bc6\u5ea6\u95a2\u6570\u304b\u3089\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3001\u304a\u3088\u3073\u3053\u306e\u78ba\u7387\u95a2\u6570\u306e\u7279\u6027\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5bc6\u5ea6\u95a2\u6570\u3068\u5206\u5e03\u95a2\u6570\u306e\u9055\u3044\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-funcion-de-densidad\"><\/span>\u5bc6\u5ea6\u95a2\u6570\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5bc6\u5ea6\u95a2\u6570 \u306f<\/strong>\u3001<strong>\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570<\/strong>\u3068\u3082\u547c\u3070\u308c\u3001\u9023\u7d9a\u78ba\u7387\u5909\u6570\u304c\u7279\u5b9a\u306e\u5024\u3092\u53d6\u308b\u78ba\u7387\u3092\u8a18\u8ff0\u3059\u308b\u6570\u5b66\u95a2\u6570\u3067\u3059\u3002<\/p>\n<p>\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5909\u6570\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u5bc6\u5ea6\u95a2\u6570\u306f\u3001\u5909\u6570\u304c\u5024\u3092\u53d6\u308b\u78ba\u7387\u3092\u6570\u5b66\u7684\u306b\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u4eba\u53e3\u5185\u3067\u6210\u4eba\u306e\u8eab\u9577\u304c 1.80 m \u3092\u8d85\u3048\u308b\u78ba\u7387\u304c 35% \u3067\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u969b\u3001\u5bc6\u5ea6\u95a2\u6570\u306f 35% \u306e\u78ba\u7387\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306f PDF \u3068\u7565\u3055\u308c\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-una-probabilidad-con-la-funcion-de-densidad\"><\/span>\u5bc6\u5ea6\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u9023\u7d9a\u5909\u6570\u304c\u533a\u9593\u5185\u3067\u5024\u3092\u53d6\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u533a\u9593\u306e\u9650\u754c\u9593\u306e\u524d\u8a18\u5909\u6570\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u5bc6\u5ea6\u95a2\u6570\u306e\u7a4d\u5206\u3092\u8a08\u7b97\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-92039c09fd43ec161f625ab7a08daf44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[a\\leq X\\leq b]=\\int_a^b f(x)dx\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"209\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u91d1<\/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-f9cec16914b323374b5501f2f4c2719a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306f\u9023\u7d9a\u78ba\u7387\u5909\u6570\u306e\u5bc6\u5ea6\u95a2\u6570\u3067\u3059\u3002<\/p>\n<p>\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u3042\u308b\u533a\u9593\u3067\u5909\u6570\u304c\u5024\u3092\u53d6\u308b\u78ba\u7387\u306f\u3001\u305d\u306e\u533a\u9593\u306e\u5bc6\u5ea6\u95a2\u6570\u306e\u4e0b\u306e\u9762\u7a4d\u306b\u76f8\u5f53\u3057\u307e\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\/fonction-de-densite.png\" alt=\"\u5bc6\u5ea6\u95a2\u6570\" class=\"wp-image-2429\" width=\"267\" height=\"266\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u78ba\u7387\u8a08\u7b97\u306f\u3001\u7d71\u8a08\u5909\u6570\u304c\u6b63\u898f\u5206\u5e03\u3001\u6307\u6570\u5206\u5e03\u3001\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306a\u3069\u306e\u9023\u7d9a\u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u306b\u306e\u307f\u3053\u306e\u65b9\u6cd5\u3067\u5b9f\u884c\u3067\u304d\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-de-densidad\"><\/span>\u5bc6\u5ea6\u95a2\u6570\u306e\u30d7\u30ed\u30d1\u30c6\u30a3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5bc6\u5ea6\u95a2\u6570\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5bc6\u5ea6\u95a2\u6570\u306e\u5024\u306f\u3001x \u306e\u4efb\u610f\u306e\u5024\u306b\u5bfe\u3057\u3066\u30bc\u30ed\u307e\u305f\u306f\u6b63\u306b\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-9ef1721c5f1a67b3b64b3b625286ea23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\geq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3055\u3089\u306b\u3001\u5bc6\u5ea6\u95a2\u6570\u306e\u6700\u5927\u5024\u306f 1 \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-acfd4f51cf2602bac813da61fa5429ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\\leq 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5b9f\u969b\u3001\u5bc6\u5ea6\u95a2\u6570\u30b0\u30e9\u30d5\u306e\u4e0b\u306e\u5408\u8a08\u9762\u7a4d\u306f\u3001\u3059\u3079\u3066\u306e\u78ba\u7387\u306e\u30bb\u30c3\u30c8\u306b\u5bfe\u5fdc\u3059\u308b\u305f\u3081\u3001\u5909\u6570\u306b\u95a2\u4fc2\u306a\u304f\u5e38\u306b 1 \u3068\u7b49\u4fa1\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-25d2e58d1bcce79e3baff26b6017019c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int_{-\\infty}^{+\\infty} f(x)dx=1\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"131\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li>\u524d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u8aac\u660e\u3057\u305f\u3088\u3046\u306b\u3001\u9023\u7d9a\u5909\u6570\u304c\u533a\u9593\u5185\u3067\u5024\u3092\u53d6\u308b\u78ba\u7387\u306f\u3001\u305d\u306e\u533a\u9593\u5185\u306e\u5bc6\u5ea6\u95a2\u6570\u306e\u7a4d\u5206\u3067\u8a08\u7b97\u3055\u308c\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-0d27660508b38e9e436218365f9d8333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[a\\leq X\\leq b]=\\int_a^b f(x)dx=F(b)-F(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"325\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funcion-de-densidad-y-funcion-de-distribucion\"><\/span>\u5bc6\u5ea6\u95a2\u6570\u3068\u5206\u5e03\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u306e\u6700\u5f8c\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u5bc6\u5ea6\u95a2\u6570\u3068\u5206\u5e03\u95a2\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u7570\u306a\u308b\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u4e00\u822c\u306b\u6df7\u540c\u3055\u308c\u3084\u3059\u3044 2 \u7a2e\u985e\u306e\u78ba\u7387\u95a2\u6570\u3067\u3042\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001<strong>\u5206\u5e03\u95a2\u6570\u306f\u5bc6\u5ea6\u95a2\u6570\u306e\u7a4d\u5206\u306b\u76f8\u5f53\u3059\u308b<\/strong>\u305f\u3081\u3001\u5206\u5e03\u95a2\u6570\u306f\u9023\u7d9a\u5909\u6570\u306e\u7d2f\u7a4d\u78ba\u7387\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001\u4efb\u610f\u306e\u5024\u306e\u5206\u5e03\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\u306f\u3001\u5909\u6570\u304c\u305d\u306e\u5024\u307e\u305f\u306f\u305d\u308c\u3088\u308a\u4f4e\u3044\u5024\u3092\u53d6\u308b\u78ba\u7387\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u3089 2 \u7a2e\u985e\u306e\u95a2\u6570\u9593\u306e\u6570\u5b66\u7684\u95a2\u4fc2\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-ed8d06734f95b294b944fd890d648d79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq a]=\\int_{-\\infty}^a f(x)dx=F(a)\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"248\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u91d1<\/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-f9cec16914b323374b5501f2f4c2719a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306f\u5bc6\u5ea6\u95a2\u6570\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-24256e5abe32d819f1d96f3e9df91bb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306f\u5206\u5e03\u95a2\u6570\u3067\u3059\u3002<\/p>\n<p>\u5bc6\u5ea6\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u8868\u793a\u304c\u3001\u5e73\u5747 1\u3001\u6a19\u6e96\u504f\u5dee 0.5 \u306e\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u5909\u6570\u306e\u5206\u5e03\u95a2\u6570\u3068\u6bd4\u8f03\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u306b\u6ce8\u76ee\u3057\u3066\u304f\u3060\u3055\u3044\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\/fonction-de-distribution-et-fonction-de-densite.png\" alt=\"\u5206\u5e03\u95a2\u6570\u3068\u5bc6\u5ea6\u95a2\u6570\u306e\u9055\u3044\" class=\"wp-image-2375\" width=\"478\" height=\"297\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u914d\u5e03\u6a5f\u80fd\u306e\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u4ee5\u4e0b\u306e\u30ea\u30f3\u30af\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5206\u5e03\u95a2\u6570\/\">\u5206\u5e03\u95a2\u6570<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5bc6\u5ea6\u95a2\u6570\u3068\u306f\u4f55\u304b\u3001\u5bc6\u5ea6\u95a2\u6570\u304b\u3089\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3001\u304a\u3088\u3073\u3053\u306e\u78ba\u7387\u95a2\u6570\u306e\u7279\u6027\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5bc6\u5ea6\u95a2\u6570\u3068\u5206\u5e03\u95a2\u6570\u306e\u9055\u3044\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 \u5bc6\u5ea6\u95a2\u6570\u3068\u306f\u4f55\u3067\u3059\u304b? \u5bc6\u5ea6\u95a2\u6570 \u306f\u3001\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u3068\u3082 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