{"id":3931,"date":"2023-07-14T16:10:59","date_gmt":"2023-07-14T16:10:59","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%9c%9f%e5%be%85%e5%80%a4x2\/"},"modified":"2023-07-14T16:10:59","modified_gmt":"2023-07-14T16:10:59","slug":"%e6%9c%9f%e5%be%85%e5%80%a4x2","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%9c%9f%e5%be%85%e5%80%a4x2\/","title":{"rendered":"X^2\u306e\u671f\u5f85\u5024\u306e\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">X \u3067\u793a\u3055\u308c\u308b<a href=\"https:\/\/statorials.org\/ja\/\u30e9\u30f3\u30bf\u3099\u30e0\u5909\u6570\/\" target=\"_blank\" rel=\"noopener\">\u78ba\u7387\u5909\u6570<\/a>\u306e\u5834\u5408\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066 X <sup>2<\/sup>\u306e\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>E(X <sup>2<\/sup> ) = \u03a3x <sup>2<\/sup> * p(x)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \uff1a\u300c\u548c\u300d\u3092\u610f\u5473\u3059\u308b\u8a18\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x<\/strong> : \u78ba\u7387\u5909\u6570\u306e\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>p(x)<\/strong> : \u78ba\u7387\u5909\u6570\u304c\u6307\u5b9a\u3055\u308c\u305f\u5024\u3092\u53d6\u308b\u78ba\u7387<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u3053\u306e\u516c\u5f0f\u3092\u5b9f\u969b\u306b\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b: X <sup>2<\/sup>\u306e\u671f\u5f85\u5024\u306e\u8a08\u7b97<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u78ba\u7387\u5909\u6570\u304c\u6b21\u306e\u78ba\u7387\u306b\u9054\u3059\u308b\u78ba\u7387\u3092\u8aac\u660e\u3059\u308b\u6b21\u306e\u78ba\u7387\u5206\u5e03\u8868\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-31621 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/x2_1.jpg\" alt=\"\" width=\"266\" height=\"253\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X <sup>2<\/sup>\u306e\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">E(X <sup>2<\/sup> ) = \u03a3x <sup>2<\/sup> * p(x)<\/span><\/p>\n<p> <span style=\"color: #000000;\">E(X <sup>2<\/sup> ) = (0) <sup>2<\/sup> *.06 + (1) <sup>2<\/sup> *.15 + (2) <sup>2<\/sup> *.17 + (3) <sup>2<\/sup> *.24 + (4) <sup>2<\/sup> *.23 + (5) <sup>2<\/sup> *.09 + (6) <sup>2<\/sup> *.06<\/span><\/p>\n<p> <span style=\"color: #000000;\">E(X <sup>2<\/sup> ) = 0 + 0.15 + 0.68 + 2.16 + 3.68 + 2.25+ 2.16<\/span><\/p>\n<p> <span style=\"color: #000000;\">E( <sup>X2<\/sup> ) = 11.08<\/span><\/p>\n<p> <span style=\"color: #000000;\">X <sup>2<\/sup>\u306e\u671f\u5f85\u5024\u306f<strong>11.08<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u78ba\u7387\u5909\u6570\u306f<strong>\u96e2\u6563\u78ba\u7387\u5909\u6570<\/strong>\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3064\u307e\u308a\u3001\u6709\u9650\u6570\u306e\u5024\u306e\u307f\u3092\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">X \u304c<strong>\u9023\u7d9a\u78ba\u7387\u5909\u6570<\/strong>\u306e\u5834\u5408\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066 X <sup>2<\/sup>\u306e\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">E(X <sup>2<\/sup> ) = \u222b x <sup>2<\/sup> f(x)dx<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u222b\uff1a\u300c\u7d71\u5408\u300d\u3092\u610f\u5473\u3059\u308b\u8a18\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>f(x)<\/strong> : \u78ba\u7387\u5909\u6570\u306b\u5bfe\u3057\u3066\u78ba\u7387<a href=\"https:\/\/statorials.org\/ja\/cdf-\u3068-pdf-\u306e\u6bd4\u8f03\/\" target=\"_blank\" rel=\"noopener\">\u5bc6\u5ea6\u95a2\u6570<\/a>\u304c\u7d99\u7d9a\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u9023\u7d9a\u78ba\u7387\u5909\u6570\u306e<sup>X2<\/sup>\u306e\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\u3053\u306e\u8a08\u7b97\u3092\u624b\u52d5\u3067\u5b9f\u884c\u3059\u308b\u306e\u306f\u96e3\u3057\u3044\u305f\u3081\u3001\u901a\u5e38\u306f\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u305d\u306e\u4ed6\u306e\u4e00\u822c\u7684\u306a\u30bf\u30b9\u30af\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u78ba\u7387\u5206\u5e03\u306e\u5e73\u5747\/\" target=\"_blank\" rel=\"noopener\">\u78ba\u7387\u5206\u5e03\u306e\u5e73\u5747\u3092\u6c42\u3081\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u78ba\u7387\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u78ba\u7387\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u78ba\u7387\u5206\u5e03\u306e\u5206\u6563\/\" target=\"_blank\" rel=\"noopener\">\u78ba\u7387\u5206\u5e03\u306e\u5206\u6563\u3092\u6c42\u3081\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>X \u3067\u793a\u3055\u308c\u308b\u78ba\u7387\u5909\u6570\u306e\u5834\u5408\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066 X 2\u306e\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002 E(X 2 ) = \u03a3x 2 * p(x) \u91d1\uff1a \u03a3 \uff1a\u300c\u548c\u300d\u3092\u610f\u5473\u3059\u308b\u8a18\u53f7 x : \u78ba\u7387\u5909\u6570\u306e\u5024 p(x) : \u78ba\u7387\u5909\u6570\u304c\u6307\u5b9a\u3055\u308c\u305f\u5024\u3092\u53d6 [&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-3931","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>X^2 \u306e\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 \u2013 Statorials<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001X^2 \u306e\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3092\u793a\u3057\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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