{"id":221,"date":"2023-08-04T00:09:06","date_gmt":"2023-08-04T00:09:06","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%ad%a3%e8%a6%8f%e6%a8%99%e6%ba%96%e5%88%86%e5%b8%83\/"},"modified":"2023-08-04T00:09:06","modified_gmt":"2023-08-04T00:09:06","slug":"%e6%ad%a3%e8%a6%8f%e6%a8%99%e6%ba%96%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%ad%a3%e8%a6%8f%e6%a8%99%e6%ba%96%e5%88%86%e5%b8%83\/","title":{"rendered":"\u6a19\u6e96\u6b63\u898f\u5206\u5e03"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6a19\u6e96\u6b63\u898f\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\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3001\u305d\u306e\u7279\u6027\u5024\u3092\u542b\u3080\u8868\u3001\u3055\u3089\u306b\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3082\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-normal-estandar\"><\/span>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6a19\u6e96\u6b63\u898f\u5206\u5e03 \u306f<\/strong>\u3001<strong>\u5358\u4f4d\u6b63\u898f\u5206\u5e03<\/strong>\u3068\u3082\u547c\u3070\u308c\u3001\u6b63\u898f\u5206\u5e03\u306e\u6700\u3082\u5358\u7d14\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306f\u3001\u5e73\u5747\u5024\u3068\u6a19\u6e96\u504f\u5dee\u5024\u304c\u305d\u308c\u305e\u308c 0 \u3068 1 \u306b\u7b49\u3057\u3044\u6b63\u898f\u5206\u5e03\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306f N(0,1) \u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u3001\u6700\u521d\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306f\u5206\u5e03\u306e\u5e73\u5747\u30012 \u756a\u76ee\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306f\u305d\u306e\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f SD) \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-3ca26cb58ac445099df12aeebda27e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle N(0,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\begin{cases} \\mu=0\\\\[2ex]\\sigma=1\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u30b0\u30e9\u30d5\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-normale-standard.png\" alt=\"\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u30b0\u30e9\u30d5\" class=\"wp-image-4442\" width=\"601\" height=\"361\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-normal-estandar\"><\/span>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u898f\u5206\u5e03\u3092\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u5909\u63db\u3059\u308b\u306b\u306f\u3001\u6b63\u898f\u5206\u5e03\u306e\u3059\u3079\u3066\u306e\u5024\u304b\u3089\u6b63\u898f\u5206\u5e03\u306e\u5e73\u5747\u3092\u6e1b\u7b97\u3057\u3001\u6b63\u898f\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee\u3067\u5272\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u5f0f\u306f<\/strong>\u6b21\u306e\u3088\u3046\u306b\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\/formule-pour-la-distribution-normale-standard.png\" alt=\"\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u5f0f\" class=\"wp-image-4447\" width=\"328\" height=\"293\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u65b0\u3057\u3044\u5909\u6570\u306e\u7b97\u8853\u5e73\u5747\u3068\u6a19\u6e96\u504f\u5dee\u306f\u305d\u308c\u305e\u308c 0 \u3068 1 \u306b\u306a\u308a\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u306f\u3001<strong>\u4e00\u5909\u91cf\u6b63\u898f\u5316<\/strong>\u307e\u305f\u306f<strong>\u4e00\u5909\u91cf\u6b63\u898f\u5316<\/strong>\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-de-la-distribucion-normal-estandar\"><\/span>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u8868\u306f\u3001\u89b3\u6e2c\u5024\u304c\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u6240\u5b9a\u306e\u5024\u3088\u308a\u5c0f\u3055\u3044\u78ba\u7387\u3092\u542b\u3080\u8868\u3067\u3059\u3002<\/p>\n<p>\u3055\u3089\u306b\u3001\u6b63\u898f\u5206\u5e03\u306e\u95a2\u6570\u306f\u5e73\u5747\u3068\u6a19\u6e96\u504f\u5dee\u306b\u4f9d\u5b58\u3059\u308b\u305f\u3081\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u306f\u3001\u62e1\u5f35\u3057\u3066\u6b63\u898f\u5206\u5e03\u306e\u78ba\u7387\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306b\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u6b63\u898f\u5206\u5e03\u3092\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u5165\u529b\u3057\u3001\u30c6\u30fc\u30d6\u30eb\u5185\u3067\u305d\u308c\u306b\u5bfe\u5fdc\u3059\u308b\u78ba\u7387\u3092\u8abf\u3079\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u306e\u5024\u306f\u6b21\u306e\u3088\u3046\u306b\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\/table-de-distribution-normale-probabilite-cumulative-inferieure.emf_.png\" alt=\"\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\" class=\"wp-image-2892\" width=\"655\" height=\"866\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-distribucion-normal-estandar\"><\/span>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u5b9a\u7fa9\u3068\u305d\u306e\u5f0f\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u7406\u89e3\u3057\u305f\u3068\u3053\u308d\u3067\u3001\u6982\u5ff5\u3092\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u4ee5\u4e0b\u306b\u5177\u4f53\u7684\u306a\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u9023\u7d9a\u78ba\u7387\u5909\u6570\u306f\u3001\u5e73\u5747 45\u3001\u6a19\u6e96\u504f\u5dee 15 \u306e\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u300258 \u4ee5\u4e0b\u306e\u5024\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/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-c1914d7535b3ca4b73d1fc39d0620bce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N(45,15)\\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P[X\\leq 58]= \\ \\color{orange}\\bm{?}\\color{black} \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"421\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u898f\u5206\u5e03\u306e\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u305d\u306e\u7279\u5fb4\u30c6\u30fc\u30d6\u30eb\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u305d\u306e\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3092\u53d6\u5f97\u3059\u308b\u305f\u3081\u306e\u578b\u4ed8\u3051\u30d7\u30ed\u30bb\u30b9\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6a19\u6e96\u306e\u6b63\u898f\u5206\u5e03\u5f0f\u3092\u4f7f\u7528\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-495b5c96898d0da9f1849fc0ac42da40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{X-\\mu}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"87\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u78ba\u7387\u5024\u304b\u3089\u5e73\u5747\u3092\u5f15\u3044\u3066\u3001\u6a19\u6e96\u504f\u5dee\u3067\u5272\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-7c8c62115ea72f4d9471dee405859016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq 58]=P\\left[Z\\leq\\frac{58-45}{15}\\right]=P[Z\\leq 0,87]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"355\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u5909\u6570\u3092\u6a19\u6e96\u5316\u3057\u305f\u3089\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u78ba\u7387\u30c6\u30fc\u30d6\u30eb (\u4e0a\u8a18\u3092\u53c2\u7167) \u306b\u79fb\u52d5\u3057\u3066\u3001\u5024 0.87 \u304c\u3069\u306e\u78ba\u7387\u306b\u5bfe\u5fdc\u3059\u308b\u304b\u3092\u78ba\u8a8d\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-96a9899f1286e9a38beb405c301a8520_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[Z\\leq 0,87]=0,8078\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u300158 \u4ee5\u4e0b\u306e\u5024\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u306f 80.78% \u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-normal-estandar\"><\/span>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u7279\u5fb4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u306f\u6b21\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306f\u30010 \u3092\u4e2d\u5fc3\u3068\u3059\u308b\u5bfe\u79f0\u5206\u5e03\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u6b63\u898f\u5206\u5e03\u3068\u540c\u69d8\u306b\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u30b0\u30e9\u30d5\u306f\u91e3\u9418\u578b\u3067\u3001\u30b0\u30e9\u30d5\u9818\u57df\u306e\u307b\u3068\u3093\u3069\u304c\u5e73\u5747\u5024\u4ed8\u8fd1\u306b\u3042\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u3057\u305f\u304c\u3063\u3066\u3001\u6b63\u898f\u5206\u5e03\u306e\u5e73\u5747\u3001\u6700\u983b\u5024\u3001\u4e2d\u592e\u5024\u306f\u540c\u3058\u5024\u3001\u3064\u307e\u308a 0 \u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306f z=0 \u3067\u6700\u5927\u5024\u3092\u6301\u3061\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u540c\u69d8\u306b\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u306f\u3001z=-1 \u3068 z=+1 \u306b 2 \u3064\u306e\u5909\u66f2\u70b9\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u7d4c\u9a13\u5247\u306b\u3088\u308c\u3070\u3001\u5024\u306e 68% \u304c +1 \u3068 -1 \u306e\u9593\u306e\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u53ce\u307e\u308a\u3001\u5024\u306e 95% \u304c +2 \u3068 -2 \u306e\u9593\u3001\u5024\u306e 99.7% \u304c +2 \u3068 -1 \u306e\u9593\u306e\u6a19\u6e96\u5206\u5e03\u306b\u53ce\u307e\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 3\u3068-3\u3002<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6a19\u6e96\u6b63\u898f\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\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3001\u305d\u306e\u7279\u6027\u5024\u3092\u542b\u3080\u8868\u3001\u3055\u3089\u306b\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3082\u898b\u3064\u304b\u308a\u307e\u3059\u3002 \u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b? \u6a19\u6e96\u6b63\u898f\u5206\u5e03 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