{"id":3937,"date":"2023-07-14T16:01:08","date_gmt":"2023-07-14T16:01:08","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%9c%9f%e6%9c%9b%e5%80%bcx3\/"},"modified":"2023-07-14T16:01:08","modified_gmt":"2023-07-14T16:01:08","slug":"%e6%9c%9f%e6%9c%9b%e5%80%bcx3","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%9c%9f%e6%9c%9b%e5%80%bcx3\/","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97x^3\u7684\u671f\u671b\u503c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u53d8\u91cf<\/a>\uff0c\u8868\u793a\u4e3a X \uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97 X <sup>3<\/sup>\u7684\u671f\u671b\u503c\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>E(X <sup>3<\/sup> ) = \u03a3x <sup>3<\/sup> * p(x)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \uff1a\u8868\u793a\u201c\u548c\u201d\u7684\u7b26\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x<\/strong> \uff1a\u968f\u673a\u53d8\u91cf\u7684\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>p(x)<\/strong> \uff1a\u968f\u673a\u53d8\u91cf\u53d6\u7ed9\u5b9a\u503c\u7684\u6982\u7387<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e0b\u9762\u7684\u4f8b\u5b50\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u8fd9\u4e2a\u516c\u5f0f\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u8ba1\u7b97 X <sup>3<\/sup>\u7684\u671f\u671b\u503c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u6982\u7387\u5206\u5e03\u8868\uff0c\u63cf\u8ff0\u968f\u673a\u53d8\u91cf\u7684\u6982\u7387\uff0c<\/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;\">\u4e3a\u4e86\u8ba1\u7b97 X <sup>3<\/sup>\u7684\u671f\u671b\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">E(X <sup>3<\/sup> ) = \u03a3x <sup>3<\/sup> * p(x)<\/span><\/p>\n<p> <span style=\"color: #000000;\">E(X <sup>3<\/sup> ) = (0) <sup>3<\/sup> *.06 + (1) <sup>3<\/sup> *.15 + (2) <sup>3<\/sup> *.17 + (3) <sup>3<\/sup> *.24 + (4) <sup>3<\/sup> *.23 + (5) <sup>3<\/sup> *.09 + (6) <sup>3<\/sup> *.06<\/span><\/p>\n<p> <span style=\"color: #000000;\">E(X <sup>3<\/sup> ) = 0 + 0.15 + 0.1.36 + 6.48 + 14.72 + 11.25 + 12.96<\/span><\/p>\n<p> <span style=\"color: #000000;\">E(X <sup>3<\/sup> ) = 45.596<\/span><\/p>\n<p> <span style=\"color: #000000;\">X <sup>3<\/sup>\u7684\u9884\u671f\u503c\u4e3a<strong>45,596<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u6b64\u968f\u673a\u53d8\u91cf\u662f<strong>\u79bb\u6563\u968f\u673a\u53d8\u91cf<\/strong>\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u53ea\u80fd\u91c7\u7528\u6709\u9650\u6570\u91cf\u7684\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679cX\u662f<strong>\u8fde\u7eed\u968f\u673a\u53d8\u91cf<\/strong>\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97X <sup>3<\/sup>\u7684\u671f\u671b\u503c\uff1a<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">E(X <sup>3<\/sup> ) = \u222b x <sup>3<\/sup> f(x)dx<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u222b\uff1a\u8868\u793a\u201c\u6574\u5408\u201d\u7684\u7b26\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>f(x)<\/strong> : <a href=\"https:\/\/statorials.org\/cn\/cdf-\u4e0e-pdf\/\" target=\"_blank\" rel=\"noopener\">pdf<\/a>\u7ee7\u7eed\u7528\u4e8e\u968f\u673a\u53d8\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5f53\u8ba1\u7b97<sup>\u671f\u671b\u503c<\/sup>\u65f6<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u6267\u884c\u7edf\u8ba1\u4e2d\u7684\u5176\u4ed6\u5e38\u89c1\u4efb\u52a1\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u6982\u7387\u5206\u5e03\u7684\u5e73\u5747\u503c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u627e\u5230\u6982\u7387\u5206\u5e03\u7684\u5e73\u5747\u503c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6982\u7387\u5206\u5e03\u7684\u6807\u51c6\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u627e\u5230\u6982\u7387\u5206\u5e03\u7684\u6807\u51c6\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6982\u7387\u5206\u5e03\u7684\u65b9\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u6c42\u6982\u7387\u5206\u5e03\u7684\u65b9\u5dee<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5bf9\u4e8e\u968f\u673a\u53d8\u91cf\uff0c\u8868\u793a\u4e3a X \uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97 X 3\u7684\u671f\u671b\u503c\uff1a E(X 3 ) = \u03a3x 3 * p(x) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3937","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u8ba1\u7b97 X^3 \u7684\u671f\u671b\u503c - Statorials<\/title>\n<meta name=\"description\" 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