{"id":34394,"date":"2021-11-05T13:00:02","date_gmt":"2021-11-05T13:00:02","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34394"},"modified":"2025-09-07T23:51:38","modified_gmt":"2025-09-07T23:51:38","slug":"%e8%a1%a8%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e6%ad%a3%e8%a6%8f%e5%88%86%e5%b8%83%e3%82%92%e3%81%a9%e3%81%ae%e3%82%88%e3%81%86%e3%81%ab%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b%e3%81%8b%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ja\/%e8%a1%a8%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e6%ad%a3%e8%a6%8f%e5%88%86%e5%b8%83%e3%82%92%e3%81%a9%e3%81%ae%e3%82%88%e3%81%86%e3%81%ab%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b%e3%81%8b%ef%bc%9f\/","title":{"rendered":"\u8868\u3092\u7528\u3044\u3066\u6b63\u898f\u5206\u5e03\u3092\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u304b\uff1f"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n  <center><\/p>\n<h1>\u8868\u3092\u7528\u3044\u3066\u6b63\u898f\u5206\u5e03\u3092\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u304b\uff1f<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\">\n      <strong>\u8981\u7d04<\/strong><br \/>\n      <em>\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u6700\u3082\u4e00\u822c\u7684\u306a\u9023\u7d9a\u78ba\u7387\u5206\u5e03\u306e\u4e00\u3064\u3067\u3042\u308b\u6b63\u898f\u5206\u5e03\u3092\u6271\u3046\u3002\u5e73\u5747 \u03bc \u3068\u6a19\u6e96\u504f\u5dee \u03c3 \u3092\u6301\u3064\u78ba\u7387\u5909\u6570 X \u304c\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u3001\u7a4d\u5206\u306b\u304a\u3051\u308b\u4ee3\u5165\u306b\u3088\u3063\u3066\u3069\u306e\u3088\u3046\u306b\u6a19\u6e96\u5316\u3067\u304d\u308b\u304b\u3092\u5206\u6790\u3059\u308b\u3002\u305f\u3060\u3057\u3001\u6a19\u6e96\u5316\u306b\u3088\u308b\u7c21\u7565\u5316\u304c\u306a\u3055\u308c\u305f\u3068\u3057\u3066\u3082\u3001\u7a4d\u5206\u306e\u89e3\u6790\u7684\u8a08\u7b97\u306f\u4f9d\u7136\u3068\u3057\u3066\u56f0\u96e3\u3067\u3042\u308a\u3001\u305d\u306e\u7d50\u679c\u3092\u8868\u3059\u4ee3\u6570\u7684\u8868\u73fe\u306f\u5b58\u5728\u3057\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3002\u3053\u306e\u554f\u984c\u3092\u514b\u670d\u3059\u308b\u305f\u3081\u306b\u3001Excel \u3067\u69cb\u7bc9\u3055\u308c\u305f\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u3092\u63d0\u793a\u3057\u3001\u95a2\u6570\u306e\u5024\u306b\u5bfe\u3059\u308b\u6570\u5024\u7684\u8fd1\u4f3c\u3092\u63d0\u4f9b\u3059\u308b\u3002\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u8868\u306e\u4f7f\u7528\u65b9\u6cd5\u3092\u8a73\u7d30\u306b\u8aac\u660e\u3057\u3001\u7d2f\u7a4d\u78ba\u7387\u3092\u66f2\u7dda\u4e0b\u306e\u9762\u7a4d\u3068\u3057\u3066\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3059\u3002\u6700\u5f8c\u306b\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304a\u3088\u3073\u305d\u306e\u8868\u3092\u7528\u3044\u305f\u78ba\u7387\u8a08\u7b97\u3068\u63a8\u5b9a\u306b\u7126\u70b9\u3092\u5f53\u3066\u305f\u5b9f\u8df5\u7684\u306a\u6f14\u7fd2\u3092\u884c\u3046\u3002<\/em>\n    <\/p>\n<p>  <\/center><br \/>\n  <\/p>\n<p style=\"text-align:center;\">\n    <strong>\u5b66\u7fd2\u76ee\u6a19:<\/strong><br \/>\n    \u3053\u306e\u8b1b\u7fa9\u3092\u7d42\u3048\u308b\u3068\u3001\u53d7\u8b1b\u8005\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b:\n  <\/p>\n<ol>\n<li><strong>\u793a\u3059<\/strong> \u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3068\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu<\/span><\/span> \u304a\u3088\u3073 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sigma<\/span><\/span> \u3092\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u3059\u308b\u6b63\u898f\u5206\u5e03\u3068\u306e\u95a2\u4fc2\u3092\u3001\u7a4d\u5206\u306b\u304a\u3051\u308b\u4ee3\u5165\u3092\u901a\u3058\u3066\u3002<\/li>\n<li><strong>\u89e3\u304f<\/strong> \u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u3092\u7528\u3044\u305f\u5b9f\u8df5\u7684\u306a\u554f\u984c\u3002<\/li>\n<li><strong>\u69cb\u7bc9\u3059\u308b<\/strong> \u305d\u3057\u3066 Excel \u3092\u7528\u3044\u3066\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u3092\u6d3b\u7528\u3059\u308b\u3002<\/li>\n<\/ol>\n<p>  <center><br \/>\n    <strong><u>\u76ee\u6b21<\/u>:<\/strong><br \/>\n    <a href=\"#1\">\u6b63\u898f\u5206\u5e03\u306b\u304a\u3051\u308b\u554f\u984c\u3068\u305d\u306e\u89e3\u6c7a<\/a><br \/>\n    <a href=\"#2\">\u3053\u306e\u8868\u3092\u3069\u306e\u3088\u3046\u306b\u4f7f\u3046\u304b\uff1f<\/a><br \/>\n    <a href=\"#3\">\u6f14\u7fd2<\/a><br \/>\n  <\/center><br \/>\n  <center><br \/>\n    <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/GdoFK696k3s\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n  <\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u6b63\u898f\u5206\u5e03\u306b\u304a\u3051\u308b\u554f\u984c\u3068\u305d\u306e\u89e3\u6c7a<\/h2>\n<p style=\"text-align:justify;\">\u6700\u3082\u5e83\u304f\u5229\u7528\u3055\u308c\u3066\u3044\u308b<a href=\"http:\/\/toposuranos.com\/material\/es\/distribuciones-continuas-de-probabilidad\/\" rel=\"noopener\" target=\"_blank\">\u9023\u7d9a\u5206\u5e03<\/a>\u306e\u4e00\u3064\u304c\u6b63\u898f\u5206\u5e03\u3067\u3042\u308b\u3002\u78ba\u7387\u5909\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu,\\sigma<\/span><\/span> \u3092\u6301\u3064\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u3068\u304d\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p class=\"eq\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(X\\leq x) =\\Phi_{\\mu,\\sigma}(x) = \\int_{-\\infty}^x \\frac{1}{\\sqrt{2\\pi}\\sigma} e^{-\\frac{1}{2} \\left(\\frac{t-\\mu}{\\sigma}\\right)^2}dt <\/span><\/span><\/p>\n<p>\u3055\u3089\u306b\u3001<a href=\"https:\/\/www.youtube.com\/watch?v=kdxgrB1h98g&amp;t=1188s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u3059\u3067\u306b\u898b\u305f\u3088\u3046\u306b<\/span><\/strong><\/a>\u3001\u3053\u306e\u5206\u5e03\u306f\u7a4d\u5206\u306b\u304a\u3044\u3066 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle z= \\frac{t-\\mu}{\\sigma},<\/span><\/span> \u3068\u3044\u3046\u4ee3\u5165\u3092\u884c\u3046\u3053\u3068\u3067\u300c\u6a19\u6e96\u5316\u300d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u6b21\u3092\u5f97\u308b:<\/p>\n<p class=\"eq\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\Phi_{\\mu,\\sigma}(x) = \\int_{-\\infty}^{\\frac{x-\\mu}{\\sigma}} \\frac{1}{\\sqrt{2\\pi}} e^{-\\frac{t^2}{2} }dt = \\Phi_{0,1}\\left(\\frac{x-\\mu}{\\sigma} \\right) <\/span><\/span><\/p>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GdoFK696k3s&amp;t=270s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u3053\u306e\u6a19\u6e96\u5316\u306e\u904e\u7a0b\u306f<\/strong><\/span><\/a>\u7a4d\u5206\u3092\u7c21\u7565\u5316\u3059\u308b\u304c\u3001\u305d\u308c\u3067\u3082\u306a\u304a\u3001\u3053\u306e\u5206\u5e03\u306b\u5bfe\u3059\u308b\u5358\u4e00\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3002\u5b9f\u969b\u3001\u3053\u306e\u7a4d\u5206\u3092\u89e3\u6790\u7684\u306b\u8a55\u4fa1\u3059\u308b\u3053\u3068\u306f\u4e0d\u53ef\u80fd\u3067\u3042\u308a\u3001\u305d\u306e\u7d50\u679c\u3092\u8868\u73fe\u3067\u304d\u308b\u4ee3\u6570\u7684\u306a\u5f0f\u306f\u5b58\u5728\u3057\u306a\u3044\u305f\u3081\u3001\u56f0\u96e3\u306b\u76f4\u9762\u3059\u308b\u3002\u3057\u304b\u3057\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u95a2\u6570\u306e\u3044\u304f\u3064\u304b\u306e\u5024\u306b\u5bfe\u3057\u3066\u6570\u5024\u7684\u8fd1\u4f3c\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u3001\u305d\u3053\u304b\u3089\u63a8\u5b9a\u3092\u59cb\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002\u3053\u308c\u3089\u306e\u5024\u306f\u3001\u79c1\u304c Excel \u3067\u4f5c\u6210\u3057\u305f<strong>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868<\/strong>\u306b\u307e\u3068\u3081\u3089\u308c\u3066\u3044\u308b\u3002&gt;:D<\/p>\n<p><center><br \/>\n  <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26819 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26819 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png 784w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb-300x296.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb-768x758.png 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/noscript><br \/>\n  <em>\u3053\u306e\u8868\u3092 Excel \u5f62\u5f0f\u3067\u6b21\u306e<a href=\"https:\/\/www.dropbox.com\/s\/9yff75b70wd75xn\/tabla%20-%20distribucion%20normal%20estandar.xlsx?dl=0\" rel=\"noopener\" target=\"_blank\">\u30ea\u30f3\u30af<\/a>\u304b\u3089\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u30d5\u30a1\u30a4\u30eb\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u65e2\u5b58\u306e\u8868\u304c\u898b\u3064\u304b\u3089\u306a\u3044\u5834\u5408\u306b\u3001\u81ea\u5206\u3067\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059 \ud83d\ude42<\/em><br \/>\n<\/center><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u3053\u306e\u8868\u3092\u3069\u306e\u3088\u3046\u306b\u4f7f\u3046\u304b\uff1f<\/h2>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GdoFK696k3s&amp;t=622s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u3053\u306e\u8868\u3092\u554f\u984c\u306a\u304f\u4f7f\u7528\u3059\u308b\u305f\u3081\u306b\u306f<\/strong><\/span><\/a>\u3001\u7d2f\u7a4d\u78ba\u7387\u3092\u793a\u3059\u3060\u3051\u3067\u306a\u304f\u3001\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306e\u66f2\u7dda\u4e0b\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308b\u3002\u3053\u308c\u306f\u6b21\u306e\u56f3\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n<p><center><br \/>\n  <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26820 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26820 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png 784w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab-300x296.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab-768x758.png 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/noscript><br \/>\n<\/center><\/p>\n<p style=\"text-align:justify;\">\u3053\u308c\u3092\u7406\u89e3\u3057\u305f\u3046\u3048\u3067\u3001\u6b21\u306b\u8868\u306e\u5177\u4f53\u7684\u306a\u4f7f\u3044\u65b9\u3092\u8aac\u660e\u3059\u308b\u3002\u3053\u3053\u3067\u793a\u3055\u308c\u3066\u3044\u308b\u306e\u306f\u3001\u95a2\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(z)<\/span><\/span> \u3092\u8a55\u4fa1\u3059\u308b\u969b\u306e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">z<\/span><\/span> \u306e\u5024\u304c 2 \u3064\u306e\u90e8\u5206\u306b\u5206\u3051\u3089\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002\u5217\u306b\u306f\u5c0f\u6570\u7b2c1\u4f4d\u307e\u3067\u306e\u5c55\u958b\u304c\u3001\u884c\u306b\u306f\u5c0f\u6570\u7b2c2\u4f4d\u304c\u793a\u3055\u308c\u3066\u3044\u308b\u3002\u4f8b\u3048\u3070\u3001\u6570\u5024 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">z=1,72<\/span><\/span> \u306f\u300c\u5ea7\u6a19\u300d\u306e\u3088\u3046\u306b\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u7e26\u65b9\u5411\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1,7,<\/span><\/span>\u3001\u6a2a\u65b9\u5411\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0,02.<\/span><\/span> \u3067\u3042\u308b\u3002\u6700\u7d42\u7684\u306b\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(1,72)<\/span><\/span> \u306e\u6570\u5024\u8fd1\u4f3c\u306f\u300c1,7\u300d\u3068\u300c0,02\u300d\u306e\u5ea7\u6a19\u30d6\u30ed\u30c3\u30af\u306b\u73fe\u308c\u3001\u305d\u306e\u5024\u306f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0,957284.<\/span><\/span> \u3067\u3042\u308b\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u6f14\u7fd2<\/h2>\n<ol>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(2,93)<\/span><\/span> \u306e\u5024\u3092\u63a8\u5b9a\u305b\u3088<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{\\mu=12,\\sigma=3}(11,5)<\/span><\/span> \u306e\u5024\u3092\u63a8\u5b9a\u305b\u3088<\/li>\n<li>\u78ba\u7387\u5909\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u306f\u6b63\u898f\u5206\u5e03 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">N(\\mu=37,\\sigma=9).<\/span><\/span> \u306b\u5f93\u3046\u3002<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(35 \\lt X \\lt 43).<\/span><\/span> \u3092\u6c42\u3081\u3088<\/li>\n<li>\u9732\u5929\u5546\u306e\u5e97\u3067\u6bce\u65e5\u8150\u308b\u30c8\u30de\u30c8\u306e\u6570\u306f\u5e73\u5747 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu=50<\/span><\/span>\u3001\u6a19\u6e96\u504f\u5dee <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sigma=15.<\/span><\/span> \u3067\u3042\u308b\u3002\u9732\u5929\u5546\u304c\u9031\u306b 3 \u56de\u30c8\u30de\u30c8\u3092\u4ed5\u5165\u308c\u308b\u3068\u304d\u30011 \u304b\u6708\u306e\u3046\u3061 60 \u500b\u3092\u8d85\u3048\u3066\u30c8\u30de\u30c8\u304c\u8150\u308b\u65e5\u306e\u6570\u3092\u63a8\u5b9a\u305b\u3088\u3002<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X \\sim N(\\mu,\\sigma)<\/span><\/span> \u3068\u4eee\u5b9a\u3057\u3066\u3001\u6b21\u306e\u78ba\u7387\u3092\u6c42\u3081\u3088:\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(\\mu - \\sigma \\leq X \\leq \\mu + \\sigma)<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X \\leq \\mu - \\sigma \\vee \\mu + \\sigma \\leq X)<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X \\leq \\mu - n\\sigma \\vee \\mu + n\\sigma \\leq X)<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><center><br \/>\n  <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/6tEAj-_dd_c\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n<\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8868\u3092\u7528\u3044\u3066\u6b63\u898f\u5206\u5e03\u3092\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u304b\uff1f \u8981\u7d04 \u672c\u8b1b\u7fa9\u3067\u306f\u3001\u6700\u3082\u4e00\u822c\u7684\u306a\u9023\u7d9a\u78ba\u7387\u5206\u5e03\u306e\u4e00\u3064\u3067\u3042\u308b\u6b63\u898f\u5206\u5e03\u3092\u6271\u3046\u3002\u5e73\u5747 \u03bc \u3068\u6a19\u6e96\u504f\u5dee \u03c3 \u3092\u6301\u3064\u78ba\u7387\u5909\u6570 X \u304c\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u3001\u7a4d\u5206\u306b\u304a\u3051\u308b\u4ee3\u5165\u306b\u3088\u3063\u3066\u3069\u306e\u3088\u3046\u306b\u6a19\u6e96\u5316\u3067\u304d\u308b\u304b\u3092\u5206\u6790\u3059\u308b\u3002\u305f\u3060\u3057\u3001\u6a19\u6e96\u5316\u306b\u3088\u308b\u7c21\u7565\u5316\u304c\u306a\u3055\u308c\u305f\u3068\u3057\u3066\u3082\u3001\u7a4d\u5206\u306e\u89e3\u6790\u7684\u8a08\u7b97\u306f\u4f9d\u7136\u3068\u3057\u3066\u56f0\u96e3\u3067\u3042\u308a\u3001\u305d\u306e\u7d50\u679c\u3092\u8868\u3059\u4ee3\u6570\u7684\u8868\u73fe\u306f\u5b58\u5728\u3057\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3002\u3053\u306e\u554f\u984c\u3092\u514b\u670d\u3059\u308b\u305f\u3081\u306b\u3001Excel \u3067\u69cb\u7bc9\u3055\u308c\u305f\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u3092\u63d0\u793a\u3057\u3001\u95a2\u6570\u306e\u5024\u306b\u5bfe\u3059\u308b\u6570\u5024\u7684\u8fd1\u4f3c\u3092\u63d0\u4f9b\u3059\u308b\u3002\u672c\u8b1b\u7fa9\u3067\u306f\u3001\u8868\u306e\u4f7f\u7528\u65b9\u6cd5\u3092\u8a73\u7d30\u306b\u8aac\u660e\u3057\u3001\u7d2f\u7a4d\u78ba\u7387\u3092\u66f2\u7dda\u4e0b\u306e\u9762\u7a4d\u3068\u3057\u3066\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3059\u3002\u6700\u5f8c\u306b\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304a\u3088\u3073\u305d\u306e\u8868\u3092\u7528\u3044\u305f\u78ba\u7387\u8a08\u7b97\u3068\u63a8\u5b9a\u306b\u7126\u70b9\u3092\u5f53\u3066\u305f\u5b9f\u8df5\u7684\u306a\u6f14\u7fd2\u3092\u884c\u3046\u3002 \u5b66\u7fd2\u76ee\u6a19: \u3053\u306e\u8b1b\u7fa9\u3092\u7d42\u3048\u308b\u3068\u3001\u53d7\u8b1b\u8005\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b: \u793a\u3059 \u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3068\u3001 \u304a\u3088\u3073 \u3092\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u3059\u308b\u6b63\u898f\u5206\u5e03\u3068\u306e\u95a2\u4fc2\u3092\u3001\u7a4d\u5206\u306b\u304a\u3051\u308b\u4ee3\u5165\u3092\u901a\u3058\u3066\u3002 \u89e3\u304f \u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u3092\u7528\u3044\u305f\u5b9f\u8df5\u7684\u306a\u554f\u984c\u3002 \u69cb\u7bc9\u3059\u308b \u305d\u3057\u3066 Excel \u3092\u7528\u3044\u3066\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u3092\u6d3b\u7528\u3059\u308b\u3002 \u76ee\u6b21: \u6b63\u898f\u5206\u5e03\u306b\u304a\u3051\u308b\u554f\u984c\u3068\u305d\u306e\u89e3\u6c7a \u3053\u306e\u8868\u3092\u3069\u306e\u3088\u3046\u306b\u4f7f\u3046\u304b\uff1f \u6f14\u7fd2 \u6b63\u898f\u5206\u5e03\u306b\u304a\u3051\u308b\u554f\u984c\u3068\u305d\u306e\u89e3\u6c7a \u6700\u3082\u5e83\u304f\u5229\u7528\u3055\u308c\u3066\u3044\u308b\u9023\u7d9a\u5206\u5e03\u306e\u4e00\u3064\u304c\u6b63\u898f\u5206\u5e03\u3067\u3042\u308b\u3002\u78ba\u7387\u5909\u6570 \u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf \u3092\u6301\u3064\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u3068\u304d\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002 \u3055\u3089\u306b\u3001\u3059\u3067\u306b\u898b\u305f\u3088\u3046\u306b\u3001\u3053\u306e\u5206\u5e03\u306f\u7a4d\u5206\u306b\u304a\u3044\u3066 \u3068\u3044\u3046\u4ee3\u5165\u3092\u884c\u3046\u3053\u3068\u3067\u300c\u6a19\u6e96\u5316\u300d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u6b21\u3092\u5f97\u308b: \u3053\u306e\u6a19\u6e96\u5316\u306e\u904e\u7a0b\u306f\u7a4d\u5206\u3092\u7c21\u7565\u5316\u3059\u308b\u304c\u3001\u305d\u308c\u3067\u3082\u306a\u304a\u3001\u3053\u306e\u5206\u5e03\u306b\u5bfe\u3059\u308b\u5358\u4e00\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3002\u5b9f\u969b\u3001\u3053\u306e\u7a4d\u5206\u3092\u89e3\u6790\u7684\u306b\u8a55\u4fa1\u3059\u308b\u3053\u3068\u306f\u4e0d\u53ef\u80fd\u3067\u3042\u308a\u3001\u305d\u306e\u7d50\u679c\u3092\u8868\u73fe\u3067\u304d\u308b\u4ee3\u6570\u7684\u306a\u5f0f\u306f\u5b58\u5728\u3057\u306a\u3044\u305f\u3081\u3001\u56f0\u96e3\u306b\u76f4\u9762\u3059\u308b\u3002\u3057\u304b\u3057\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u95a2\u6570\u306e\u3044\u304f\u3064\u304b\u306e\u5024\u306b\u5bfe\u3057\u3066\u6570\u5024\u7684\u8fd1\u4f3c\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u3001\u305d\u3053\u304b\u3089\u63a8\u5b9a\u3092\u59cb\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002\u3053\u308c\u3089\u306e\u5024\u306f\u3001\u79c1\u304c Excel \u3067\u4f5c\u6210\u3057\u305f\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u8868\u306b\u307e\u3068\u3081\u3089\u308c\u3066\u3044\u308b\u3002&gt;:D \u3053\u306e\u8868\u3092 Excel \u5f62\u5f0f\u3067\u6b21\u306e\u30ea\u30f3\u30af\u304b\u3089\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u30d5\u30a1\u30a4\u30eb\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u65e2\u5b58\u306e\u8868\u304c\u898b\u3064\u304b\u3089\u306a\u3044\u5834\u5408\u306b\u3001\u81ea\u5206\u3067\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059 \ud83d\ude42 \u3053\u306e\u8868\u3092\u3069\u306e\u3088\u3046\u306b\u4f7f\u3046\u304b\uff1f \u3053\u306e\u8868\u3092\u554f\u984c\u306a\u304f\u4f7f\u7528\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u7d2f\u7a4d\u78ba\u7387\u3092\u793a\u3059\u3060\u3051\u3067\u306a\u304f\u3001\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306e\u66f2\u7dda\u4e0b\u306e\u9762\u7a4d\u3092\u8868\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308b\u3002\u3053\u308c\u306f\u6b21\u306e\u56f3\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u3002 \u3053\u308c\u3092\u7406\u89e3\u3057\u305f\u3046\u3048\u3067\u3001\u6b21\u306b\u8868\u306e\u5177\u4f53\u7684\u306a\u4f7f\u3044\u65b9\u3092\u8aac\u660e\u3059\u308b\u3002\u3053\u3053\u3067\u793a\u3055\u308c\u3066\u3044\u308b\u306e\u306f\u3001\u95a2\u6570 \u3092\u8a55\u4fa1\u3059\u308b\u969b\u306e \u306e\u5024\u304c 2 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