{"id":2816,"date":"2023-07-20T13:32:55","date_gmt":"2023-07-20T13:32:55","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%b0%91%e3%81%aa%e3%81%8f%e3%81%a8%e3%82%822%e3%81%a4%e3%81%ae%e7%a2%ba%e7%8e%87\/"},"modified":"2023-07-20T13:32:55","modified_gmt":"2023-07-20T13:32:55","slug":"%e5%b0%91%e3%81%aa%e3%81%8f%e3%81%a8%e3%82%822%e3%81%a4%e3%81%ae%e7%a2%ba%e7%8e%87","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%b0%91%e3%81%aa%e3%81%8f%e3%81%a8%e3%82%822%e3%81%a4%e3%81%ae%e7%a2%ba%e7%8e%87\/","title":{"rendered":"\u300c\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u300d\u6210\u529f\u3059\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4e00\u822c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4e00\u9023\u306e\u8a66\u884c\u306b\u304a\u3051\u308b<strong>\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u306e\u6210\u529f\u306e\u78ba\u7387<\/strong>\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong>P(at least two successes) = 1 - P(zero successes) - P(one success)<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4e0a\u306e\u5f0f\u3067\u306f\u3001\u6b21\u306e<a href=\"https:\/\/statorials.org\/ja\/\u4e8c\u9805\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9805\u5206\u5e03\u306e<\/a>\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5404\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=k) = <sub>n<\/sub> C <sub>k<\/sub> * p <sup>k<\/sup> * (1-p) <sup>nk<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong>\u8a66\u884c\u56de\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k:<\/strong>\u6210\u529f\u56de\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>p:<\/strong>\u4e0e\u3048\u3089\u308c\u305f\u8a66\u884c\u306e\u6210\u529f\u78ba\u7387<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><sub>n<\/sub> C <sub>k<\/sub> :<\/strong> <em>n<\/em>\u56de\u306e\u8a66\u884c\u3067<em>k \u500b\u306e<\/em>\u6210\u529f\u3092\u5f97\u308b\u65b9\u6cd5\u306e\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u3053\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u3055\u307e\u3056\u307e\u306a\u30b7\u30ca\u30ea\u30aa\u3067\u300c\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u300d\u6210\u529f\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 1: \u30d5\u30ea\u30fc\u30b9\u30ed\u30fc\u306e\u8a66\u884c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30bf\u30a4\u306f\u30d5\u30ea\u30fc\u30b9\u30ed\u30fc\u8a66\u6295\u306e 25% \u3092\u6210\u529f\u3055\u305b\u307e\u3059\u3002\u5f7c\u304c\u30d5\u30ea\u30fc\u30b9\u30ed\u30fc\u3092 5 \u56de\u8a66\u307f\u305f\u5834\u5408\u3001\u5f7c\u304c\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u6210\u529f\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u5f7c\u304c\u30d5\u30ea\u30fc\u30b9\u30ed\u30fc\u3092\u6b63\u78ba\u306b 0 \u56de\u884c\u3046\u304b\u3001\u307e\u305f\u306f\u30d5\u30ea\u30fc\u30b9\u30ed\u30fc\u3092\u3061\u3087\u3046\u3069 1 \u56de\u884c\u3046\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = <sub>5<\/sub> C <sub>0<\/sub> * 0.25 <sup>0<\/sup> * (1-0.25) <sup>5-0<\/sup> = 1 * 1 * 0.75 <sup>5<\/sup> = <strong>0.2373<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=1)<\/strong> = <sub>5<\/sub> C <sub>1<\/sub> * 0.25 <sup>1<\/sup> * (1-0.25) <sup>5-1<\/sup> = 5 * 0.25 * 0.75 <sup>4<\/sup> = <strong>0.3955<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u3053\u308c\u3089\u306e\u5024\u3092\u6b21\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u3001Ty \u304c\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u306e\u30d5\u30ea\u30fc\u30b9\u30ed\u30fc\u3092\u884c\u3046\u78ba\u7387\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X\u22672) = 1 \u2013 P(X=0) \u2013 P(X=1)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X\u22672) = 1 \u2013 0.2372 \u2013 0.3955<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X\u22672) = <strong>0.3673<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ty \u304c 5 \u56de\u306e\u8a66\u884c\u3067\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u306e\u30d5\u30ea\u30fc\u30b9\u30ed\u30fc\u3092\u6210\u529f\u3055\u305b\u308b\u78ba\u7387\u306f<strong>0.3673<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 2: \u30a6\u30a3\u30b8\u30a7\u30c3\u30c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u5de5\u5834\u3067\u306f\u3001\u3059\u3079\u3066\u306e\u30a6\u30a3\u30b8\u30a7\u30c3\u30c8\u306e 2% \u306b\u6b20\u9665\u304c\u3042\u308a\u307e\u3059\u3002 10 \u500b\u306e\u30a6\u30a3\u30b8\u30a7\u30c3\u30c8\u306e\u30e9\u30f3\u30c0\u30e0 \u30b5\u30f3\u30d7\u30eb\u306b\u304a\u3044\u3066\u3001\u5c11\u306a\u304f\u3068\u3082 2 \u500b\u304c\u6b20\u9665\u304c\u3042\u308b\u78ba\u7387\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u6b63\u78ba\u306b 0 \u3064\u307e\u305f\u306f\u6b63\u78ba\u306b 1 \u3064\u304c\u4e0d\u826f\u54c1\u3067\u3042\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = <sub>10<\/sub> C <sub>0<\/sub> * 0.02 <sup>0<\/sup> * (1-0.02) <sup>10-0<\/sup> = 1 * 1 * 0.98 <sup>10<\/sup> = <strong>0.8171<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=1)<\/strong> = <sub>10<\/sub> C <sub>1<\/sub> * 0.02 <sup>1<\/sup> * (1-0.02) <sup>10-1<\/sup> = 10 * 0.02 * 0.98 <sup>9<\/sup> = <strong>0.1667<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u3053\u308c\u3089\u306e\u5024\u3092\u6b21\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u3001\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u306e\u30a6\u30a3\u30b8\u30a7\u30c3\u30c8\u306b\u554f\u984c\u304c\u3042\u308b\u78ba\u7387\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X\u22672) = 1 \u2013 P(X=0) \u2013 P(X=1)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X\u22672) = 1 \u2013 0.8171 \u2013 0.1667<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X\u22672) = <strong>0.0162<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e 10 \u500b\u306e\u30e9\u30f3\u30c0\u30e0 \u30b5\u30f3\u30d7\u30eb\u5185\u3067\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u306e\u30a6\u30a3\u30b8\u30a7\u30c3\u30c8\u306b\u6b20\u9665\u304c\u3042\u308b\u78ba\u7387\u306f<strong>0.0162<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 3: \u30c8\u30ea\u30d3\u30a2\u306e\u8cea\u554f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30dc\u30d6\u306f\u30c8\u30ea\u30d3\u30a2\u306e\u8cea\u554f\u306e 60% \u306b\u6b63\u89e3\u3057\u307e\u3059\u3002\u5f7c\u306b 5 \u3064\u306e\u30c8\u30ea\u30d3\u30a2\u306e\u8cea\u554f\u3092\u3057\u305f\u5834\u5408\u3001\u5f7c\u304c\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u6b63\u89e3\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u6b63\u78ba\u306b 0 \u307e\u305f\u306f\u6b63\u78ba\u306b 1 \u3068\u7b54\u3048\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = <sub>5<\/sub> C <sub>0<\/sub> * 0.60 <sup>0<\/sup> * (1-0.60) <sup>5-0<\/sup> = 1 * 1 * 0.40 <sup>5<\/sup> = <strong>0.01024<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=1)<\/strong> = <sub>5<\/sub> C <sub>1<\/sub> * 0.60 <sup>1<\/sup> * (1-0.60) <sup>5-1<\/sup> = 5 * 0.60 * 0.40 <sup>4<\/sup> = <strong>0.0768<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u3053\u308c\u3089\u306e\u5024\u3092\u6b21\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u3001\u5f7c\u304c\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u306e\u8cea\u554f\u306b\u6b63\u3057\u304f\u7b54\u3048\u308b\u78ba\u7387\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X\u22672) = 1 \u2013 P(X=0) \u2013 P(X=1)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X\u22672) = 1 \u2013 0.01024 \u2013 0.0768<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X\u22672) = <strong>0.91296<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5f7c\u304c 5 \u3064\u306e\u8cea\u554f\u306e\u3046\u3061\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u306b\u6b63\u3057\u304f\u7b54\u3048\u308b\u78ba\u7387\u306f<strong>0.91296<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30dc\u30fc\u30ca\u30b9: \u300c\u5c11\u306a\u304f\u3068\u3082 2 \u3064\u300d\u306e\u78ba\u7387\u8a08\u7b97\u30c4\u30fc\u30eb<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u3053\u306e\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u7279\u5b9a\u306e\u8a66\u884c\u306b\u304a\u3051\u308b\u6210\u529f\u306e\u78ba\u7387\u3068\u8a66\u884c\u306e\u7dcf\u6570\u306b\u57fa\u3065\u3044\u3066\u3001\u300c\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u300d\u306e\u6210\u529f\u306e\u78ba\u7387\u304c\u81ea\u52d5\u7684\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b21\u306e\u4e00\u822c\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4e00\u9023\u306e\u8a66\u884c\u306b\u304a\u3051\u308b\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u306e\u6210\u529f\u306e\u78ba\u7387\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 P(at least two successes) = 1 &#8211; P(zero successes) &#8211; P(one succ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-2816","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u300c\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u300d\u6210\u529f\u3059\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5 - Statology<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u300c\u5c11\u306a\u304f\u3068\u3082 2 \u56de\u300d\u306e\u6210\u529f\u307e\u305f\u306f\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u4f8b\u3092\u793a\u3057\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta 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