{"id":1504,"date":"2023-07-26T03:02:51","date_gmt":"2023-07-26T03:02:51","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83%e4%b8%8e%e6%b3%8a%e6%9d%be%e5%88%86%e5%b8%83%e7%9a%84%e7%9b%b8%e4%bc%bc%e4%b9%8b%e5%a4%84%e5%92%8c%e5%b7%ae%e5%bc%82\/"},"modified":"2023-07-26T03:02:51","modified_gmt":"2023-07-26T03:02:51","slug":"%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83%e4%b8%8e%e6%b3%8a%e6%9d%be%e5%88%86%e5%b8%83%e7%9a%84%e7%9b%b8%e4%bc%bc%e4%b9%8b%e5%a4%84%e5%92%8c%e5%b7%ae%e5%bc%82","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83%e4%b8%8e%e6%b3%8a%e6%9d%be%e5%88%86%e5%b8%83%e7%9a%84%e7%9b%b8%e4%bc%bc%e4%b9%8b%e5%a4%84%e5%92%8c%e5%b7%ae%e5%bc%82\/","title":{"rendered":"\u4e8c\u9879\u5f0f\u5206\u5e03\u4e0e\u6cca\u677e\u5206\u5e03\uff1a\u5f02\u540c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7edf\u8ba1\u5b66\u4e2d\u4e24\u4e2a\u7c7b\u4f3c\u7684\u5206\u5e03\u662f<a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9879\u5f0f\u5206\u5e03<\/a><span style=\"color: #000000;\">\u548c<a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u6cca\u677e\u5206\u5e03<\/a>\u3002<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u6bcf\u4e2a\u53d1\u884c\u7248\u7684\u7b80\u8981\u8bf4\u660e\u4ee5\u53ca\u4e24\u8005\u4e4b\u95f4\u7684\u5f02\u540c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4e8c\u9879\u5f0f\u5206\u5e03<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u4e8c\u9879\u5f0f\u5206\u5e03<\/strong>\u63cf\u8ff0\u4e86\u5728<em>n\u6b21<\/em><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5f0f\u5b9e\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9879\u5f0f\u5b9e\u9a8c<\/a>\u4e2d\u83b7\u5f97<em>k\u6b21<\/em>\u6210\u529f\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"random variable (opens in a new tab)\">\u968f\u673a\u53d8\u91cf<\/a><em>X<\/em>\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\uff0c\u5219<em>X<\/em> = <em>k<\/em>\u6210\u529f\u7684\u6982\u7387\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u6c42\u51fa\uff1a<\/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\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u8bd5\u9a8c\u6b21\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6210\u529f\u6b21\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>p\uff1a<\/strong>\u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><sub>n<\/sub> C <sub>k<\/sub> \uff1a<\/strong>\u5728<em>n<\/em>\u6b21\u8bd5\u9a8c\u4e2d\u83b7\u5f97<em>k\u6b21<\/em>\u6210\u529f\u7684\u65b9\u6cd5\u6570<\/span><\/li>\n<\/ul>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u629b\u786c\u5e01 3 \u6b21\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e0a\u9762\u7684\u516c\u5f0f\u6765\u786e\u5b9a\u8fd9 3 \u6b21\u7ffb\u8f6c\u4e2d\u83b7\u5f97 0 \u6b21\u6b63\u9762\u7684\u6982\u7387\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = <sub>3<\/sub> C <sub>0<\/sub> * 0.5 <sup>0<\/sup> * (1-0.5) <sup>3-0<\/sup> = 1 * 1 * (0.5) <sup>3<\/sup> = <strong>0.125<\/strong><\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u9c7c\u7c7b\u5206\u5e03<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u6cca\u677e\u5206\u5e03<\/strong>\u63cf\u8ff0\u4e86\u5728\u56fa\u5b9a\u65f6\u95f4\u95f4\u9694\u5185\u7ecf\u5386<em>k \u4e2a<\/em>\u4e8b\u4ef6\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"random variable (opens in a new tab)\">\u968f\u673a\u53d8\u91cf<\/a><em>X<\/em>\u670d\u4ece\u6cca\u677e\u5206\u5e03\uff0c\u5219<em>X<\/em> = <em>k \u4e2a<\/em>\u4e8b\u4ef6\u7684\u6982\u7387\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u6c42\u5f97\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=k) = \u03bb <sup>k<\/sup> * e <sup>\u2013 \u03bb<\/sup> \/ k!<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb\uff1a<\/strong>\u7279\u5b9a\u65f6\u95f4\u95f4\u9694\u5185\u53d1\u751f\u7684\u5e73\u5747\u6210\u529f\u6b21\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6210\u529f\u6b21\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><b>e\uff1a<\/b>\u7ea6\u7b49\u4e8e 2.71828 \u7684\u5e38\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u67d0\u5bb6\u533b\u9662\u5e73\u5747\u6bcf\u5c0f\u65f6\u5206\u5a29 2 \u540d\u5a74\u513f\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e0a\u9762\u7684\u516c\u5f0f\u6765\u786e\u5b9a\u7ed9\u5b9a\u5c0f\u65f6\u5185\u7ecf\u5386 3 \u6b21\u51fa\u751f\u7684\u6982\u7387\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=3)<\/strong> = 2 <sup>3<\/sup> * e <sup>\u2013 2<\/sup> \/ 3\uff01 = <strong>0.18045<\/strong><\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5171\u540c\u70b9\u548c\u4e0d\u540c\u70b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e8c\u9879\u5206\u5e03\u548c\u6cca\u677e\u5206\u5e03\u5177\u6709\u4ee5\u4e0b<strong>\u76f8\u4f3c\u4e4b\u5904<\/strong>\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u4e24\u79cd\u5206\u5e03\u90fd\u53ef\u7528\u4e8e\u5bf9\u4e8b\u4ef6\u53d1\u751f\u7684\u6b21\u6570\u8fdb\u884c\u5efa\u6a21\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5728\u8fd9\u4e24\u79cd\u5206\u5e03\u4e2d\uff0c\u4e8b\u4ef6\u90fd\u88ab\u5047\u5b9a\u4e3a\u72ec\u7acb\u7684\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8fd9\u4e9b\u53d1\u884c\u7248\u5177\u6709\u4ee5\u4e0b\u4e3b\u8981<strong>\u533a\u522b<\/strong>\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5728\u4e8c\u9879\u5206\u5e03\u4e2d\uff0c\u8bd5\u9a8c\u6b21\u6570\u662f\u56fa\u5b9a\u7684\uff08\u4f8b\u5982\u629b\u786c\u5e01 3 \u6b21\uff09<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5728\u6cca\u677e\u5206\u5e03\u4e2d\uff0c\u5728\u7279\u5b9a\u65f6\u95f4\u95f4\u9694\u5185\u53ef\u4ee5\u53d1\u751f\u4efb\u610f\u6570\u91cf\u7684\u4e8b\u4ef6\uff08\u4f8b\u5982\uff0c\u7ed9\u5b9a\u5c0f\u65f6\u5185\u5c06\u6709\u591a\u5c11\u987e\u5ba2\u5230\u8fbe\u5546\u5e97\uff1f\uff09<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u5b9e\u9645\u95ee\u9898\uff1a\u4f55\u65f6\u4f7f\u7528\u6bcf\u4e2a\u53d1\u884c\u7248<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5728\u4ee5\u4e0b\u6bcf\u4e2a\u7ec3\u4e60\u95ee\u9898\u4e2d\uff0c\u786e\u5b9a\u968f\u673a\u53d8\u91cf\u662f\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\u8fd8\u662f\u6cca\u677e\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98981\uff1a\u7f51\u7edc\u4e2d\u65ad<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u5bb6\u79d1\u6280\u516c\u53f8\u60f3\u8981\u5bf9\u7ed9\u5b9a\u4e00\u5468\u5185\u53d1\u751f\u4e00\u5b9a\u6570\u91cf\u7684\u7f51\u7edc\u4e2d\u65ad\u7684\u6982\u7387\u8fdb\u884c\u5efa\u6a21\u3002\u5047\u8bbe\u6211\u4eec\u77e5\u9053\u5e73\u5747\u6bcf\u5468\u53d1\u751f 4 \u6b21\u7f51\u7edc\u4e2d\u65ad\u3002\u4ee4<em>X<\/em>\u4e3a\u7ed9\u5b9a\u4e00\u5468\u5185\u7684\u7f51\u7edc\u4e2d\u65ad\u6b21\u6570\u3002\u968f\u673a\u53d8\u91cf<em>X<\/em>\u9075\u5faa\u4ec0\u4e48\u7c7b\u578b\u7684\u5206\u5e03\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>\u7b54\u6848<\/em>\uff1a\u8fd9\u4e0d\u662f\u4e8c\u9879\u5206\u5e03\uff0c\u56e0\u4e3a\u6ca1\u6709\u56fa\u5b9a\u7684\u8bd5\u9a8c\u6b21\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98982\uff1a\u7f5a\u7403<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6cf0\u52d2\u7684\u7f5a\u7403\u547d\u4e2d\u7387\u4e3a 70%\u3002\u5047\u8bbe\u4ed6\u7f5a\u7403 10 \u7403\u3002\u8bbe<em>X<\/em>\u4e3a\u6cf0\u52d2\u5728 10 \u6b21\u5c1d\u8bd5\u4e2d\u6295\u7bee\u7684\u6b21\u6570\u3002\u968f\u673a\u53d8\u91cf<em>X<\/em>\u9075\u5faa\u4ec0\u4e48\u7c7b\u578b\u7684\u5206\u5e03\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>\u56de\u7b54<\/em>\uff1a<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p>\u4e8c\u9879\u5f0f\u5206\u5e03\u8ba1\u7b97\u5668<br \/><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u5206\u5e03\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u9c7c\u7c7b\u5206\u5e03\u8ba1\u7b97\u5668<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7edf\u8ba1\u5b66\u4e2d\u4e24\u4e2a\u7c7b\u4f3c\u7684\u5206\u5e03\u662f\u4e8c\u9879\u5f0f\u5206\u5e03\u548c\u6cca\u677e\u5206\u5e03\u3002 \u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u6bcf\u4e2a\u53d1\u884c\u7248\u7684\u7b80\u8981\u8bf4\u660e\u4ee5\u53ca\u4e24\u8005\u4e4b\u95f4\u7684\u5f02\u540c\u3002 \u4e8c\u9879\u5f0f\u5206 [&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-1504","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>\u4e8c\u9879\u5f0f\u5206\u5e03\u548c\u6cca\u677e\u5206\u5e03\uff1a\u5f02\u540c<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u89e3\u91ca\u4e86\u4e8c\u9879\u5206\u5e03\u548c\u6cca\u677e\u5206\u5e03\u4e4b\u95f4\u7684\u5dee\u5f02\u548c\u76f8\u4f3c\u4e4b\u5904\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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