{"id":766,"date":"2023-07-28T20:14:26","date_gmt":"2023-07-28T20:14:26","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%b6%85%e5%87%a0%e4%bd%95%e5%88%86%e5%b8%83\/"},"modified":"2023-07-28T20:14:26","modified_gmt":"2023-07-28T20:14:26","slug":"%e8%b6%85%e5%87%a0%e4%bd%95%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%b6%85%e5%87%a0%e4%bd%95%e5%88%86%e5%b8%83\/","title":{"rendered":"\u8d85\u51e0\u4f55\u5206\u5e03\u7b80\u4ecb"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u8d85\u51e0\u4f55\u5206\u5e03<\/strong>\u63cf\u8ff0\u4e86\u4ece\u5305\u542b<em>K \u4e2a<\/em>\u5177\u6709\u8be5\u7279\u5f81\u7684 K \u4e2a\u5bf9\u8c61\u7684\u5927\u5c0f\u4e3a<em>N<\/em>\u7684\u6709\u9650\u603b\u4f53\u4e2d\uff0c\u5728<em>n<\/em>\u6b21\u62bd\u7b7e\u4e2d\u65e0\u653e\u56de\u5730\u9009\u62e9<em>k<\/em>\u4e2a\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u5bf9\u8c61\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=\"noopener\">\u968f\u673a\u53d8\u91cf<\/a><em>X<\/em>\u670d\u4ece\u8d85\u51e0\u4f55\u5206\u5e03\uff0c\u5219\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u6c42\u51fa\u9009\u62e9<em>k\u4e2a<\/em>\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u5bf9\u8c61\u7684\u6982\u7387\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=k) = <sub>K<\/sub> C <sub>k<\/sub> ( <sub>NK<\/sub> C <sub>nk<\/sub> ) \/ <sub>N<\/sub> C <sub>n<\/sub><\/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>\u4eba\u53e3\u89c4\u6a21<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>K\uff1a<\/strong>\u603b\u4f53\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u5bf9\u8c61\u6570\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6837\u672c\u4e2d\u5177\u6709\u67d0\u79cd\u529f\u80fd\u7684\u5bf9\u8c61\u6570\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><sub>K<\/sub> C <sub>k<\/sub> :<\/strong>\u4e00\u6b21\u53d6 k \u7684 K \u4e2a\u4e8b\u7269\u7684\u7ec4\u5408\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u6807\u51c6\u7684 52 \u5f20\u724c\u4e2d\u6709 4 \u5f20 Q\u3002\u5047\u8bbe\u6211\u4eec\u4ece\u4e00\u526f\u724c\u4e2d\u968f\u673a\u9009\u62e9\u4e00\u5f20\u724c\uff0c\u7136\u540e\u4e0d\u653e\u56de\u5730\u4ece\u8fd9\u526f\u724c\u4e2d\u968f\u673a\u9009\u62e9\u53e6\u4e00\u5f20\u724c\u3002\u4e24\u5f20\u724c\u90fd\u662f Q \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\u8d85\u51e0\u4f55\u5206\u5e03\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N\uff1a<\/strong>\u4eba\u53e3\u89c4\u6a21=52\u5f20\u724c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>K\uff1a<\/strong>\u79cd\u7fa4\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u5bf9\u8c61\u6570\u91cf=4\u4e2a\u7687\u540e<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf = 2 \u6b21\u62bd\u7b7e<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6837\u672c\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u7269\u4f53\u6570\u91cf=2\u4e2a\u7687\u540e<\/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=2)<\/strong> = <sub>K<\/sub> C <sub>k<\/sub> ( <sub>NK<\/sub> C <sub>nk<\/sub> ) \/ <sub>N<\/sub> C <sub>n<\/sub> = <sub>4<\/sub> C <sub>2<\/sub> ( <sub>52-4<\/sub> C <sub>2-2<\/sub> ) \/ <sub>52<\/sub> C <sub>2<\/sub> = 6*1\/ 1326 = <strong>0.00452<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u76f4\u89c2\u4e0a\u8fd9\u5e94\u8be5\u662f\u6709\u610f\u4e49\u7684\u3002\u5982\u679c\u60a8\u60f3\u8c61\u4ece\u4e00\u526f\u724c\u4e2d\u4e00\u5f20\u4e00\u5f20\u5730\u62bd\u4e24\u5f20\u724c\uff0c\u90a3\u4e48<em>\u4e24\u5f20<\/em>\u724c\u90fd\u662f\u7687\u540e\u7684\u6982\u7387\u5e94\u8be5\u975e\u5e38\u4f4e\u3002<\/span><\/p>\n<h3><strong>\u8d85\u51e0\u4f55\u5206\u5e03\u7684\u6027\u8d28<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u8d85\u51e0\u4f55\u5206\u5e03\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5206\u5e03\u7684\u5e73\u5747\u503c\u4e3a<b>(nK) \/ N<\/b><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5206\u5e03\u7684\u65b9\u5dee\u4e3a<strong>(nK)(NK)(Nn) \/ (N <sup>2<\/sup> (n-1))<\/strong><\/span><\/p>\n<h3><strong>\u8d85\u51e0\u4f55\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\u8d85\u51e0\u4f55\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\/\u8d85\u51e0\u4f55\u5206\u5e03\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u8d85\u51e0\u4f55\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><\/span><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u4ece\u4e00\u526f\u724c\u4e2d\u968f\u673a\u9009\u62e9\u56db\u5f20\u724c\u800c\u4e0d\u653e\u56de\u5b83\u4eec\u3002\u5176\u4e2d\u4e24\u5f20\u724c\u662f Q \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\u8d85\u51e0\u4f55\u5206\u5e03\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N\uff1a<\/strong>\u4eba\u53e3\u89c4\u6a21=52\u5f20\u724c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>K\uff1a<\/strong>\u79cd\u7fa4\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u5bf9\u8c61\u6570\u91cf=4\u4e2a\u7687\u540e<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf = 4 \u6b21\u62bd\u7b7e<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6837\u672c\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u7269\u4f53\u6570\u91cf=2\u4e2a\u7687\u540e<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5c06\u8fd9\u4e9b\u6570\u5b57\u4ee3\u5165\u8d85\u51e0\u4f55\u5206\u5e03\u8ba1\u7b97\u5668\uff0c\u6211\u4eec\u53d1\u73b0\u6982\u7387\u4e3a<strong>0.025<\/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>\u4e00\u4e2a\u74ee\u91cc\u6709 3 \u4e2a\u7ea2\u7403\u548c 5 \u4e2a\u7eff\u7403\u3002\u60a8\u968f\u673a\u9009\u62e9 4 \u4e2a\u7403\u3002\u60a8\u6070\u597d\u9009\u62e9 2 \u4e2a\u7ea2\u7403\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\u8d85\u51e0\u4f55\u5206\u5e03\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N\uff1a<\/strong>\u4eba\u53e3\u89c4\u6a21=8\u4e2a\u7403<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>K\uff1a<\/strong>\u7fa4\u4f53\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u7269\u4f53\u6570\u91cf= 3\u4e2a\u7ea2\u7403<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf = 4 \u6b21\u62bd\u7b7e<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6837\u672c\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u7269\u4f53\u6570\u91cf=2\u4e2a\u7ea2\u7403<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5c06\u8fd9\u4e9b\u6570\u5b57\u4ee3\u5165\u8d85\u51e0\u4f55\u5206\u5e03\u8ba1\u7b97\u5668\uff0c\u6211\u4eec\u53d1\u73b0\u6982\u7387\u4e3a<strong>0.42857<\/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>\u4e00\u4e2a\u7bee\u5b50\u91cc\u6709 7 \u4e2a\u7d2b\u8272\u5f39\u73e0\u548c 3 \u4e2a\u7c89\u8272\u5f39\u73e0\u3002\u60a8\u968f\u673a\u9009\u62e9 6 \u4e2a\u5f39\u73e0\u3002\u60a8\u6070\u597d\u9009\u62e9 3 \u4e2a\u7c89\u7ea2\u8272\u5f39\u73e0\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\u8d85\u51e0\u4f55\u5206\u5e03\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N\uff1a<\/strong>\u4eba\u53e3\u89c4\u6a21=10\u4e2a\u5f39\u73e0<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>K\uff1a<\/strong>\u7fa4\u4f53\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u7269\u4f53\u6570\u91cf= 3\u4e2a\u7c89\u8272\u7403<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf = 6 \u6b21\u62bd\u7b7e<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k\uff1a<\/strong>\u6837\u672c\u4e2d\u5177\u6709\u67d0\u79cd\u7279\u5f81\u7684\u7269\u4f53\u7684\u6570\u91cf= 3\u4e2a\u7c89\u7ea2\u8272\u7684\u7403<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5c06\u8fd9\u4e9b\u6570\u5b57\u4ee3\u5165\u8d85\u51e0\u4f55\u5206\u5e03\u8ba1\u7b97\u5668\uff0c\u6211\u4eec\u53d1\u73b0\u6982\u7387\u4e3a<strong>0.16667<\/strong> \u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8d85\u51e0\u4f55\u5206\u5e03\u63cf\u8ff0\u4e86\u4ece\u5305\u542bK \u4e2a\u5177\u6709\u8be5\u7279\u5f81\u7684 K \u4e2a\u5bf9\u8c61\u7684\u5927\u5c0f\u4e3aN\u7684\u6709\u9650\u603b\u4f53\u4e2d\uff0c\u5728n\u6b21\u62bd\u7b7e\u4e2d\u65e0\u653e\u56de\u5730\u9009\u62e9k\u4e2a\u5177\u6709\u67d0 [&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-766","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>\u8d85\u51e0\u4f55\u5206\u5e03\u7b80\u4ecb - Statorials<\/title>\n<meta name=\"description\" content=\"\u8d85\u51e0\u4f55\u5206\u5e03\u7684\u7b80\u5355\u4ecb\u7ecd\uff0c\u5305\u62ec\u6b63\u5f0f\u5b9a\u4e49\u548c\u51e0\u4e2a\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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