{"id":2028,"date":"2023-07-24T00:29:32","date_gmt":"2023-07-24T00:29:32","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83%e3%81%ae%e5%ae%9f%e9%9a%9b%e3%81%ae%e4%be%8b\/"},"modified":"2023-07-24T00:29:32","modified_gmt":"2023-07-24T00:29:32","slug":"%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83%e3%81%ae%e5%ae%9f%e9%9a%9b%e3%81%ae%e4%be%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83%e3%81%ae%e5%ae%9f%e9%9a%9b%e3%81%ae%e4%be%8b\/","title":{"rendered":"\u6307\u6570\u5206\u5e03\u306e 4 \u3064\u306e\u5b9f\u969b\u306e\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u6307\u6570\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6307\u6570\u5206\u5e03\u306f\u3001<\/a>\u7279\u5b9a\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u307e\u3067\u5f85\u6a5f\u3059\u308b\u6642\u9593\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u30e9\u30f3\u30bf\u3099\u30e0\u5909\u6570\/\" target=\"_blank\" rel=\"noopener\">\u78ba\u7387\u5909\u6570<\/a><em>X \u304c<\/em>\u6307\u6570\u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u3001 <em>X<\/em>\u306e\u7d2f\u7a4d\u5bc6\u5ea6\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>F<\/em> (x; \u03bb) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb:<\/strong>\u901f\u5ea6\u30d1\u30e9\u30e1\u30fc\u30bf (\u03bb = 1\/\u03bc \u3068\u3057\u3066\u8a08\u7b97)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e:<\/strong> 2.718 \u306b\u307b\u307c\u7b49\u3057\u3044\u5b9a\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u73fe\u5b9f\u306e\u6307\u6570\u5206\u5e03\u306e 5 \u3064\u306e\u4f8b\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 1: \u9593\u6b20\u6cc9\u306e\u5674\u706b\u9593\u306e\u6642\u9593<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u9593\u6b20\u6cc9\u306e\u5674\u706b\u9593\u306e\u5206\u6570\u306f\u3001\u6307\u6570\u5206\u5e03\u306b\u3088\u3063\u3066\u30e2\u30c7\u30eb\u5316\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001<\/span><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u9593\u6b20\u6cc9\u306e\u5674\u706b\u9593\u306e\u5e73\u5747\u5206\u6570\u304c 40 \u5206\u3067\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u9593\u6b20\u6cc9\u304c\u5674\u706b\u3057\u305f\u5834\u5408\u3001\u6b21\u306e\u5674\u706b\u307e\u3067 50 \u5206\u4ee5\u5185\u306b\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u30ec\u30fc\u30c8 \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/\u03bc<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/40<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 0.025<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u03bb = 0.025 \u3068 x = 50 \u3092 CDF \u5f0f\u306b\u4ee3\u5165\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X \u2264 x) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 50) = 1 \u2013 e <sup>-0.025(50)<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 50) = 0.7135<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5674\u706b\u307e\u3067\u306b 50 \u5206\u672a\u6e80\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f<strong>0.7135<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 2: \u9867\u5ba2\u9593\u306e\u6642\u9593<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u9867\u5ba2\u304c\u7279\u5b9a\u306e\u5e97\u8217\u306b\u5165\u308b\u307e\u3067\u306e\u6642\u9593 (\u5206) \u306f\u3001\u6307\u6570\u5206\u5e03\u306b\u3088\u3063\u3066\u30e2\u30c7\u30eb\u5316\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u5e73\u5747\u3057\u3066 2 \u5206\u3054\u3068\u306b\u65b0\u3057\u3044\u9867\u5ba2\u304c\u5e97\u8217\u306b\u5165\u5e97\u3059\u308b\u3068\u3057\u307e\u3059\u3002\u9867\u5ba2\u304c\u5230\u7740\u3057\u305f\u5f8c\u30011 \u5206\u4ee5\u5185\u306b\u65b0\u3057\u3044\u9867\u5ba2\u304c\u5230\u7740\u3059\u308b\u78ba\u7387\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u30af\u30e9\u30a4\u30a2\u30f3\u30c8\u9593\u306e\u5e73\u5747\u6642\u9593\u304c 2 \u5206\u3067\u3042\u308b\u3053\u3068\u3092\u77e5\u308b\u3053\u3068\u304b\u3089\u59cb\u3081\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30ec\u30fc\u30c8\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/\u03bc<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/2<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 0.5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u03bb = 0.5 \u3068 x = 1 \u3092 CDF \u5f0f\u306b\u4ee3\u5165\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X \u2264 x) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 1) = 1 \u2013 e <sup>-0.5(1)<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 1) = 0.3935<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u9867\u5ba2\u304c\u5230\u7740\u3059\u308b\u307e\u3067\u306b 1 \u5206\u672a\u6e80\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f<strong>0.3935<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 3: \u5730\u9707\u9593\u306e\u6642\u9593<\/strong><\/span><span style=\"color: #000000;\"><strong>&nbsp;<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5730\u9707\u767a\u751f\u9593\u306e\u6642\u9593\u306f\u3001\u6307\u6570\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u30e2\u30c7\u30eb\u5316\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u3042\u308b\u5730\u57df\u3067\u5e73\u5747 400 \u65e5\u3054\u3068\u306b\u5730\u9707\u304c\u767a\u751f\u3059\u308b\u3068\u3057\u307e\u3059\u3002\u5730\u9707\u306e\u5f8c\u3001\u6b21\u306e\u5730\u9707\u304c\u767a\u751f\u3059\u308b\u307e\u3067\u306b 500 \u65e5\u4ee5\u4e0a\u304b\u304b\u308b\u78ba\u7387\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u5730\u9707\u306e\u5e73\u5747\u9593\u9694\u304c 400 \u65e5\u3067\u3042\u308b\u3053\u3068\u3092\u77e5\u308b\u3053\u3068\u304b\u3089\u59cb\u3081\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30ec\u30fc\u30c8\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/\u03bc<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/400<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 0.0025<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u03bb = 0.0025 \u3068 x = 500 \u3092 CDF \u5f0f\u306b\u4ee3\u5165\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X \u2264 x) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 1) = 1 \u2013 e <sup>-0.0025(500)<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 1) = 0.7135<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5730\u9707\u307e\u3067 500 \u65e5\u672a\u6e80\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f 0.7135 \u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u5730\u9707\u307e\u3067 500 \u65e5<em>\u4ee5\u4e0a<\/em>\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f 1 \u2013 0.7135 = <strong>0.2865<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 4: \u901a\u8a71\u9593\u306e\u6642\u9593<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u3055\u307e\u3056\u307e\u306a\u4f01\u696d\u3067\u306e\u9867\u5ba2\u304b\u3089\u306e\u96fb\u8a71\u9593\u306e\u6642\u9593\u306f\u3001\u6307\u6570\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u30e2\u30c7\u30eb\u5316\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u9280\u884c\u304c\u5e73\u5747 10 \u5206\u3054\u3068\u306b\u65b0\u3057\u3044\u96fb\u8a71\u3092\u53d7\u3051\u308b\u3068\u3057\u307e\u3059\u3002\u9867\u5ba2\u304b\u3089\u306e\u96fb\u8a71\u5f8c\u300110 \uff5e 15 \u5206\u4ee5\u5185\u306b\u65b0\u3057\u3044\u9867\u5ba2\u304b\u3089\u96fb\u8a71\u304c\u304b\u304b\u308b\u53ef\u80fd\u6027\u3092\u5224\u65ad\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u901a\u8a71\u9593\u306e\u5e73\u5747\u6642\u9593\u304c 10 \u5206\u3067\u3042\u308b\u3053\u3068\u3092\u77e5\u308b\u3053\u3068\u304b\u3089\u59cb\u3081\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30ec\u30fc\u30c8\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/\u03bc<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/10<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 0.1<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u65b0\u898f\u9867\u5ba2\u304c 10 \uff5e 15 \u5206\u4ee5\u5185\u306b\u96fb\u8a71\u3092\u304b\u3051\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(10 &lt; X \u2264 15) = (1 \u2013 e <sup>-0.1(15)<\/sup> ) \u2013 (1 \u2013 e <sup>-0.1(10)<\/sup> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(10 &lt; X \u2264 15) = 0.7769 \u2013 0.6321<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(10 &lt; X \u2264 15) = 0.1448<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u65b0\u898f\u9867\u5ba2\u304b\u3089 10 \uff5e 15 \u5206\u4ee5\u5185\u306b\u96fb\u8a71\u304c\u304b\u304b\u308b\u53ef\u80fd\u6027\u3002\u306f<strong>0.1448<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u8a18\u4e8b\u3067\u306f\u3001\u4ed6\u306e\u78ba\u7387\u5206\u5e03\u304c\u73fe\u5b9f\u4e16\u754c\u3067\u3069\u306e\u3088\u3046\u306b\u4f7f\u7528\u3055\u308c\u308b\u304b\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u6b63\u898f\u5206\u5e03\u306e\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u898f\u5206\u5e03\u306e6\u3064\u306e\u5177\u4f53\u4f8b<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u4e8c\u9805\u5206\u5e03\u306e\u5b9f\u969b\u306e\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9805\u5206\u5e03\u306e 5 \u3064\u306e\u5177\u4f53\u4f8b<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u9b5a\u306e\u6d41\u901a\u306e\u5b9f\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306e 5 \u3064\u306e\u5177\u4f53\u4f8b<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u5e7e\u4f55\u5206\u5e03\u306e\u5b9f\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u5e7e\u4f55\u5b66\u7684\u5206\u5e03\u306e 5 \u3064\u306e\u5177\u4f53\u4f8b<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u4e00\u69d8\u5206\u5e03\u306e\u5b9f\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u4e00\u69d8\u5206\u5e03\u306e5\u3064\u306e\u5177\u4f53\u4f8b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6307\u6570\u5206\u5e03\u306f\u3001\u7279\u5b9a\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u307e\u3067\u5f85\u6a5f\u3059\u308b\u6642\u9593\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002 \u78ba\u7387\u5909\u6570X \u304c\u6307\u6570\u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u3001 X\u306e\u7d2f\u7a4d\u5bc6\u5ea6\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 F (x; \u03bb) = 1 \u2013 e &#8211; [&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-2028","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>\u6307\u6570\u5206\u5e03\u306e 4 \u3064\u306e\u5177\u4f53\u4f8b - Statology<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u306e\u4f7f\u7528\u65b9\u6cd5\u3092\u542b\u3081\u3001\u73fe\u5b9f\u306e\u6307\u6570\u5206\u5e03\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u793a\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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