{"id":1352,"date":"2023-07-26T18:27:09","date_gmt":"2023-07-26T18:27:09","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%bc%af%e5%8a%aa%e5%88%a9%e4%b8%8e%e4%ba%8c%e9%a1%b9%e5%bc%8f\/"},"modified":"2023-07-26T18:27:09","modified_gmt":"2023-07-26T18:27:09","slug":"%e4%bc%af%e5%8a%aa%e5%88%a9%e4%b8%8e%e4%ba%8c%e9%a1%b9%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%bc%af%e5%8a%aa%e5%88%a9%e4%b8%8e%e4%ba%8c%e9%a1%b9%e5%bc%8f\/","title":{"rendered":"\u4f2f\u52aa\u5229\u5206\u5e03\u548c\u4e8c\u9879\u5206\u5e03\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5982\u679c<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u53d8\u91cf<\/a>\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff1a0 \u6216 1\uff0c\u5219\u5b83\u9075\u5faa<strong>\u4f2f\u52aa\u5229\u5206\u5e03<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u6254\u4e86\u4e00\u6b21\u786c\u5e01\u3002\u8ba9<em>p<\/em> \u3002\u8fd9\u610f\u5473\u7740\u5b83\u843d\u5730\u7684\u6982\u7387\u662f 1- <em>p<\/em> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6240\u4ee5\uff0c\u6211\u4eec\u53ef\u4ee5\u5199\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13199 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bernoulli1.png\" alt=\"\u4f2f\u52aa\u5229.pdf\" width=\"307\" height=\"91\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u968f\u673a\u53d8\u91cf<em>X<\/em>\u670d\u4ece\u4f2f\u52aa\u5229\u5206\u5e03\u3002\u5b83\u53ea\u80fd\u91c7\u7528\u4e24\u4e2a\u53ef\u80fd\u7684\u503c\u3002<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u73b0\u5728\uff0c\u5982\u679c\u6211\u4eec\u591a\u6b21\u629b\u786c\u5e01\uff0c\u4f2f\u52aa\u5229\u968f\u673a\u53d8\u91cf\u7684\u603b\u548c\u5c06\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\u3002<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u629b\u786c\u5e01 5 \u6b21\uff0c\u60f3\u77e5\u9053<em>k<\/em>\u6b21\u51fa\u73b0\u6b63\u9762\u671d\u4e0a\u7684\u6982\u7387\u3002\u5b83\u770b\u8d77\u6765\u50cf<em>\u968f\u673a<\/em>\u53d8\u91cf<\/span><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13211 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bernoulli2-1.png\" alt=\"\u4f2f\u52aa\u5229\u4e0e\u540c\u884c\" width=\"598\" height=\"559\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u968f\u673a\u53d8\u91cf<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><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;\">P(X=0) = <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<p><span style=\"color: #000000;\"><strong>\u5f53<em>n<\/em> = 1 \u6b21\u8bd5\u9a8c\u65f6\uff0c\u4e8c\u9879\u5f0f\u5206\u5e03\u7b49\u6548\u4e8e\u4f2f\u52aa\u5229\u5206\u5e03\u3002<\/strong><\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u91cd\u8981\u7b14\u8bb0<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u6709\u5173\u4f2f\u52aa\u5229\u5206\u5e03\u548c\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u4e00\u4e9b\u91cd\u8981\u8bf4\u660e\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u670d\u4ece\u4f2f\u52aa\u5229\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u53ea\u80fd\u53d6\u4e24\u4e2a\u53ef\u80fd\u7684\u503c\uff0c\u4f46\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u53ef\u4ee5\u53d6\u591a\u4e2a\u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5728\u4e00\u6b21\u629b\u786c\u5e01\u4e2d\uff0c\u6211\u4eec\u8981\u4e48\u5f97\u5230 0 \u4e2a\u6b63\u9762\uff0c\u8981\u4e48\u5f97\u5230 1 \u4e2a\u6b63\u9762\u3002\u7136\u800c\uff0c\u5728\u4e00\u7cfb\u5217 5 \u6b21\u62bd\u5956\u4e2d\uff0c\u6211\u4eec\u53ef\u80fd\u4f1a\u51fa\u73b0 0\u30011\u30012\u30013\u30014 \u6216 5 \u4e2a\u6b63\u9762\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u5bf9\u4e8e\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\uff0c\u6bcf\u6b21\u4f2f\u52aa\u5229\u8bd5\u9a8c\u201c\u6210\u529f\u201d\u7684\u6982\u7387\u5fc5\u987b\u76f8\u7b49\u4e14\u72ec\u7acb\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u5c06\u201c\u6210\u529f\u201d\u5b9a\u4e49\u4e3a\u6b63\u9762\u843d\u5730\uff0c\u90a3\u4e48\u6bcf\u6b21\u629b\u63b7\u6210\u529f\u7684\u6982\u7387\u4e3a0.5\uff0c\u5e76\u4e14\u6bcf\u6b21\u629b\u63b7\u90fd\u662f\u72ec\u7acb\u7684\u2014\u2014\u4e00\u6b21\u629b\u63b7\u7684\u7ed3\u679c\u4e0d\u4f1a\u5f71\u54cd\u53e6\u4e00\u6b21\u629b\u63b7\u7684\u7ed3\u679c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5f0f\u5b9e\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9879\u5f0f\u5b9e\u9a8c\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9879\u5206\u5e03\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5f0f\u5206\u5e03\u5f62\u5f0f\/\" target=\"_blank\" rel=\"noopener\">\u4e86\u89e3\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5f62\u72b6<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5982\u679c\u968f\u673a\u53d8\u91cf\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff1a0 \u6216 1\uff0c\u5219\u5b83\u9075\u5faa\u4f2f\u52aa\u5229\u5206\u5e03\u3002 \u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u6254\u4e86\u4e00\u6b21\u786c\u5e01\u3002\u8ba9p \u3002\u8fd9\u610f\u5473\u7740 [&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-1352","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\/ 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