{"id":768,"date":"2023-07-28T20:06:46","date_gmt":"2023-07-28T20:06:46","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%b4%9f%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83\/"},"modified":"2023-07-28T20:06:46","modified_gmt":"2023-07-28T20:06:46","slug":"%e8%b4%9f%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%b4%9f%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83\/","title":{"rendered":"\u8d1f\u4e8c\u9879\u5206\u5e03\u7b80\u4ecb"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u8d1f\u4e8c\u9879\u5206\u5e03<\/strong>\u63cf\u8ff0\u4e86\u5728\u4e00\u7cfb\u5217\u4f2f\u52aa\u5229\u8bd5\u9a8c\u4e2d\u7ecf\u5386\u4e00\u5b9a\u6b21\u6570\u7684\u6210\u529f\u4e4b\u524d\u7ecf\u5386\u4e00\u5b9a\u6b21\u6570\u7684\u5931\u8d25\u7684\u6982\u7387\u3002<\/span><\/p>\n<blockquote>\n<p><span style=\"color: #000000;\"><strong>\u4f2f\u52aa\u5229\u8bd5\u9a8c<\/strong>\u662f\u4e00\u79cd\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u7ed3\u679c\u7684\u5b9e\u9a8c\u2014\u2014\u201c\u6210\u529f\u201d\u6216\u201c\u5931\u8d25\u201d\u2014\u2014\u5e76\u4e14\u6bcf\u6b21\u8fdb\u884c\u5b9e\u9a8c\u7684\u6210\u529f\u6982\u7387\u90fd\u662f\u76f8\u540c\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f2f\u52aa\u5229\u6587\u7ae0\u7684\u4e00\u4e2a\u4f8b\u5b50\u662f\u629b\u786c\u5e01\u3002\u786c\u5e01\u53ea\u80fd\u843d\u5728\u4e24\u4e2a\u6b63\u9762\u4e0a\uff08\u6211\u4eec\u53ef\u4ee5\u5c06\u6b63\u9762\u79f0\u4e3a\u201c\u547d\u4e2d\u201d\uff0c\u53cd\u9762\u79f0\u4e3a\u201c\u5931\u8d25\u201d\uff09\uff0c\u5e76\u4e14\u5047\u8bbe\u786c\u5e01\u662f\u516c\u5e73\u7684\uff0c\u6bcf\u6b21\u7ffb\u8f6c\u6210\u529f\u7684\u6982\u7387\u4e3a 0.5\u3002<\/span><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\"><i>\u5982\u679c<\/i><em>\u4e00\u4e2a<\/em><em>\u968f\u673a<\/em><a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noopener\">\u53d8\u91cf<\/a><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>P(X=k) =<\/strong> <strong><sub>k+r-1<\/sub> C <sub>k<\/sub> * (1-p) <sup>r<\/sup> *p <sup>k<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u5931\u8d25\u6b21\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>r\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>k+r-1<\/sub> C <sub>k<\/sub> :<\/strong>\u4e00\u6b21\u53d6k\u4e2a(k+r-1)\u4e2a\u4e8b\u7269\u7684\u7ec4\u5408\u6570\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u629b\u4e00\u679a\u786c\u5e01\uff0c\u5e76\u5c06\u201c\u6210\u529f\u201d\u4e8b\u4ef6\u5b9a\u4e49\u4e3a\u6b63\u9762\u671d\u4e0a\u3002\u5728\u7ecf\u5386\u603b\u5171 4 \u6b21\u6210\u529f\u4e4b\u524d\u7ecf\u5386 6 \u6b21\u5931\u8d25\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5177\u6709\u4ee5\u4e0b\u53c2\u6570\u7684\u8d1f\u4e8c\u9879\u5206\u5e03\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u5931\u8d25\u6b21\u6570 = 6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>r\uff1a<\/strong>\u6210\u529f\u6b21\u6570 = 4<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p\uff1a<\/strong>\u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387 = 0.5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5c06\u8fd9\u4e9b\u6570\u5b57\u4ee3\u5165\u516c\u5f0f\uff0c\u6211\u4eec\u53d1\u73b0\u6982\u7387\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=6 \u6b21\u5931\u8d25)<\/strong> = <sub>6+4-1<\/sub> C <sub>6<\/sub> * (1-.5) <sup>4<\/sup> *(.5) <sup>6<\/sup> = (84)*(.0625)*(.015625) = <strong>0.08203<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8d1f\u4e8c\u9879\u5206\u5e03\u7684\u6027\u8d28<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u8d1f\u4e8c\u9879\u5206\u5e03\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u83b7\u5f97<em>r \u6b21<\/em>\u6210\u529f\u4e4b\u524d\uff0c\u6211\u4eec\u9884\u671f\u7684\u5e73\u5747\u5931\u8d25\u6b21\u6570\u662f<strong>pr\/(1-p)<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u83b7\u5f97<em>r<\/em>\u6b21\u6210\u529f\u4e4b\u524d\u9884\u671f\u7684\u5931\u8d25\u6b21\u6570\u7684\u65b9\u5dee\u4e3a<strong>pr<\/strong> <strong>\/ (1-p) <sup>2<\/sup><\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u629b\u4e00\u679a\u786c\u5e01\uff0c\u5e76\u5c06\u201c\u6210\u529f\u201d\u4e8b\u4ef6\u5b9a\u4e49\u4e3a\u6b63\u9762\u671d\u4e0a\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u83b7\u5f97 4 \u6b21\u6210\u529f\u4e4b\u524d\uff0c\u6211\u4eec\u9884\u671f\u7684\u5e73\u5747\u5931\u8d25\u6b21\u6570\uff08\u4f8b\u5982\u673a\u5c3e\u7740\u9646\uff09\u5c06\u4e3a<strong>pr\/(1-p)<\/strong> = (.5*4) \/ (1-.5) = <strong>4<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u83b7\u5f97 4 \u6b21\u6210\u529f\u4e4b\u524d\uff0c\u6211\u4eec\u9884\u671f\u7684\u5931\u8d25\u6b21\u6570\u7684\u65b9\u5dee\u4e3a<strong>pr\/(1-p) <sup>2<\/sup><\/strong> = (.5*4)\/(1-.5) <sup>2<\/sup> = <strong>8<\/strong> \u3002<\/span><\/p>\n<h3><strong>\u8d1f\u4e8c\u9879\u5206\u5e03\u7ec3\u4e60\u9898<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u7ec3\u4e60\u9898\u6765\u6d4b\u8bd5\u60a8\u5bf9\u8d1f\u4e8c\u9879\u5206\u5e03\u7684\u4e86\u89e3\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><strong>\u6ce8\u610f\uff1a<\/strong>\u6211\u4eec\u5c06\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u8d1f\u4e8c\u9879\u5206\u5e03\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u8d1f\u4e8c\u9879\u5206\u5e03\u8ba1\u7b97\u5668<\/a>\u6765\u8ba1\u7b97\u8fd9\u4e9b\u95ee\u9898\u7684\u7b54\u6848\u3002<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98981<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u9898\uff1a<\/strong>\u5047\u8bbe\u6211\u4eec\u629b\u4e00\u679a\u786c\u5e01\uff0c\u5e76\u5c06\u201c\u6210\u529f\u201d\u4e8b\u4ef6\u5b9a\u4e49\u4e3a\u6b63\u9762\u671d\u4e0a\u3002\u5728\u7ecf\u5386\u603b\u5171 4 \u6b21\u6210\u529f\u4e4b\u524d\u7ecf\u5386 3 \u6b21\u5931\u8d25\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\"><strong>\u7b54\u6848\uff1a<\/strong>\u4f7f\u7528\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u8ba1\u7b97\u5668\uff0ck = 3 \u6b21\u5931\u8d25\uff0cr = 4 \u6b21\u6210\u529f\uff0cp = 0.5\uff0c\u6211\u4eec\u53d1\u73b0 P(X=3) = <strong>0.15625<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98982<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u9898\uff1a<\/strong>\u5047\u8bbe\u6211\u4eec\u6328\u5bb6\u6328\u6237\u5356\u7cd6\u679c\u3002\u5982\u679c\u6709\u4eba\u4e70\u4e86\u4e00\u5757\u68d2\u68d2\u7cd6\uff0c\u6211\u4eec\u5c31\u8ba4\u4e3a\u8fd9\u662f\u201c\u6210\u529f\u201d\u3002\u67d0\u4e2a\u4eba\u8d2d\u4e70\u4e00\u5757\u68d2\u68d2\u7cd6\u7684\u6982\u7387\u662f 0.4\u3002\u5728\u7ecf\u5386\u603b\u5171 5 \u6b21\u6210\u529f\u4e4b\u524d\u7ecf\u5386 8 \u6b21\u5931\u8d25\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\"><strong>\u7b54\u6848\uff1a<\/strong>\u4f7f\u7528\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u8ba1\u7b97\u5668\uff0ck = 8 \u6b21\u5931\u8d25\uff0cr = 5 \u6b21\u6210\u529f\uff0cp = 0.4\uff0c\u6211\u4eec\u53d1\u73b0 P(X=8) = <strong>0.08514<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98983<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u9898\uff1a<\/strong>\u5047\u8bbe\u6211\u4eec\u63b7\u9ab0\u5b50\uff0c\u5e76\u5c06\u201c\u6210\u529f\u201d\u63b7\u9ab0\u5b9a\u4e49\u4e3a\u843d\u5728\u6570\u5b57 5 \u4e0a\u3002\u5728\u7ed9\u5b9a\u7684\u63b7\u9ab0\u4e2d\uff0c\u9ab0\u5b50\u843d\u5728 5 \u4e0a\u7684\u6982\u7387\u4e3a 1\/6 = 0.167\u3002\u5728\u7ecf\u5386\u603b\u5171 3 \u6b21\u6210\u529f\u4e4b\u524d\u7ecf\u5386 4 \u6b21\u5931\u8d25\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\"><strong>\u7b54\u6848\uff1a<\/strong>\u4f7f\u7528\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u8ba1\u7b97\u5668\uff0ck = 4 \u6b21\u5931\u8d25\uff0cr = 3 \u6b21\u6210\u529f\uff0cp = 0.167\uff0c\u6211\u4eec\u53d1\u73b0 P(X=4) = <strong>0.03364<\/strong> \u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8d1f\u4e8c\u9879\u5206\u5e03\u63cf\u8ff0\u4e86\u5728\u4e00\u7cfb\u5217\u4f2f\u52aa\u5229\u8bd5\u9a8c\u4e2d\u7ecf\u5386\u4e00\u5b9a\u6b21\u6570\u7684\u6210\u529f\u4e4b\u524d\u7ecf\u5386\u4e00\u5b9a\u6b21\u6570\u7684\u5931\u8d25\u7684\u6982\u7387\u3002 \u4f2f\u52aa\u5229\u8bd5\u9a8c\u662f\u4e00\u79cd\u53ea\u6709\u4e24\u79cd [&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-768","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>\u8d1f\u4e8c\u9879\u5206\u5e03\u7b80\u4ecb - Statorials<\/title>\n<meta name=\"description\" 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