{"id":937,"date":"2023-07-28T06:28:19","date_gmt":"2023-07-28T06:28:19","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%bc%8f%e5%88%86%e5%b8%83%e5%bd%a2%e5%bc%8f\/"},"modified":"2023-07-28T06:28:19","modified_gmt":"2023-07-28T06:28:19","slug":"%e4%ba%8c%e9%a1%b9%e5%bc%8f%e5%88%86%e5%b8%83%e5%bd%a2%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%bc%8f%e5%88%86%e5%b8%83%e5%bd%a2%e5%bc%8f\/","title":{"rendered":"\u4e86\u89e3\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5f62\u72b6"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u4e8c\u9879\u5f0f\u5206\u5e03<\/a>\u63cf\u8ff0\u4e86\u5728<em>n\u6b21<\/em>\u4e8c\u9879\u5f0f\u5b9e\u9a8c\u4e2d\u83b7\u5f97<em>k\u6b21<\/em>\u6210\u529f\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c<\/span><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><span style=\"color: #000000;\"><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;\">\u5f53\u51fa\u73b0\u4ee5\u4e0b\u4e24\u79cd\u60c5\u51b5\u4e2d\u7684\u4e00\u79cd\u6216\u591a\u79cd\u65f6\uff0c\u4e8c\u9879\u5f0f\u6982\u7387\u5206\u5e03\u8d8b\u4e8e\u949f\u5f62\uff1a<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>1.<\/strong>\u6837\u672c\u91cf\uff08n\uff09\u5927\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>2.<\/strong>\u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387 (p) \u63a5\u8fd1 0.5\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u7136\u800c\uff0c\u5f53\u8fd9\u4e9b\u6761\u4ef6\u90fd\u4e0d\u53d1\u751f\u65f6\uff0c\u4e8c\u9879\u5f0f\u6982\u7387\u5206\u5e03\u5f80\u5f80\u4f1a\u51fa\u73b0\u504f\u5dee\u3002<\/span><span style=\"color: #000000;\">\u4e3a\u4e86\u8bf4\u660e\u8fd9\u4e00\u70b9\uff0c\u8bf7\u8003\u8651\u4ee5\u4e0b\u793a\u4f8b\uff1a<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"><strong>\u793a\u4f8b1\uff1a\u6837\u672c\u91cf\uff08n\uff09\u8f83\u5927<\/strong><\/h3>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u4e0b\u56fe\u663e\u793a\u4e86 n = <strong>200<\/strong>\u4e14 p = <strong>0.5<\/strong>\u65f6\u7684\u6982\u7387\u5206\u5e03\u3002<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9924 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomialshape1.png\" alt=\"\u4e8c\u9879\u5f0f\u5206\u5e03\u5f62\u5f0f\" width=\"457\" height=\"439\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">x \u8f74\u663e\u793a 200 \u6b21\u8bd5\u9a8c\u7684\u6210\u529f\u6b21\u6570\uff0cy \u8f74\u663e\u793a\u8be5\u6210\u529f\u6b21\u6570\u53d1\u751f\u7684\u6982\u7387\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u7531\u4e8e<strong>(1)<\/strong>\u6837\u672c\u91cf\u8f83\u5927\u4e14<strong>(2)<\/strong>\u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387\u63a5\u8fd1 0.5\uff0c\u56e0\u6b64\u6982\u7387\u5206\u5e03\u5448\u949f\u5f62\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u5373\u4f7f\u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387 (p) \u4e0d\u63a5\u8fd1 0.5\uff0c\u53ea\u8981\u6837\u672c\u91cf (n) \u5f88\u5927\uff0c\u6982\u7387\u5206\u5e03\u5c31\u4f1a\u4fdd\u6301\u949f\u5f62\u3002\u4e3a\u4e86\u8bf4\u660e\u8fd9\u4e00\u70b9\uff0c\u8bf7\u8003\u8651\u4ee5\u4e0b\u4e24\u79cd\u60c5\u51b5\uff08\u5f53 p = 0.2 \u548c p = 0.8 \u65f6\uff09\u3002<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9925 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme2.png\" alt=\"\" width=\"457\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9926 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme3.png\" alt=\"\" width=\"457\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\u8fd9\u4e24\u79cd\u60c5\u51b5\u4e0b\u6982\u7387\u5206\u5e03\u90fd\u662f\u949f\u5f62\u7684\u3002<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"><strong>\u793a\u4f8b 2\uff1a\u6210\u529f\u6982\u7387 (p) \u63a5\u8fd1 0.5<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4e0b\u56fe\u663e\u793a\u4e86 n = <strong>10<\/strong>\u4e14 p = <strong>0.4<\/strong>\u65f6\u7684\u6982\u7387\u5206\u5e03\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9927 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme4.png\" alt=\"p = 0.5 \u65f6\u7684\u4e8c\u9879\u5206\u5e03\u5f62\u5f0f\" width=\"384\" height=\"371\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5c3d\u7ba1\u6837\u672c\u91cf (n = 10) \u5f88\u5c0f\uff0c\u4f46\u6982\u7387\u5206\u5e03\u4ecd\u7136\u5448\u949f\u5f62\uff0c\u56e0\u4e3a\u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387 (p = 0.4) \u63a5\u8fd1 0.5\u3002<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"><strong>\u793a\u4f8b 3\uff1a\u504f\u6001\u4e8c\u9879\u5f0f\u5206\u5e03<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5f53<strong>(1)<\/strong>\u6837\u672c\u91cf\u8f83\u5927\u6216<strong>(2)<\/strong>\u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387\u5747\u4e0d\u63a5\u8fd1 0.5 \u65f6\uff0c\u4e8c\u9879\u5f0f\u6982\u7387\u5206\u5e03\u5c06\u5411\u5de6\u6216\u5411\u53f3\u503e\u659c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u4e0b\u56fe\u663e\u793a\u4e86 n = <strong>20<\/strong>\u4e14 p = <strong>0.1<\/strong>\u65f6\u7684\u6982\u7387\u5206\u5e03\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9928 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme5.png\" alt=\"\u975e\u5bf9\u79f0\u4e8c\u9879\u5206\u5e03\" width=\"407\" height=\"387\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\u5206\u5e03\u5982\u4f55\u5411\u53f3\u503e\u659c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u56fe\u663e\u793a\u4e86 n = <strong>20<\/strong>\u4e14 p = <strong>0.9<\/strong>\u65f6\u7684\u6982\u7387\u5206\u5e03\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9929 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme6.png\" alt=\"\u5de6\u504f\u4e8c\u9879\u5206\u5e03\" width=\"406\" height=\"402\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\u5206\u5e03\u662f\u5982\u4f55\u5411\u5de6\u503e\u659c\u7684\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5c3e\u6ce8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u672c\u6587\u4e2d\u7684\u6bcf\u4e2a\u56fe\u8868\u90fd\u662f\u4f7f\u7528 R \u7edf\u8ba1\u7f16\u7a0b\u8bed\u8a00\u521b\u5efa\u7684\u3002\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u7ed8\u5236\u4e8c\u9879\u5f0f\u5206\u5e03-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u672c\u6559\u7a0b<\/a>\u4e86\u89e3\u5982\u4f55\u5728 R \u4e2d\u7ed8\u5236\u60a8\u81ea\u5df1\u7684\u4e8c\u9879\u5f0f\u6982\u7387\u5206\u5e03\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u9879\u5f0f\u5206\u5e03\u63cf\u8ff0\u4e86\u5728n\u6b21\u4e8c\u9879\u5f0f\u5b9e\u9a8c\u4e2d\u83b7\u5f97k\u6b21\u6210\u529f\u7684\u6982\u7387\u3002 \u5982\u679c\u968f\u673a\u53d8\u91cfX\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\uff0c\u5219X = k\u6210\u529f\u7684\u6982\u7387\u53ef [&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-937","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>\u4e86\u89e3\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5f62\u72b6 - Statorials<\/title>\n<meta name=\"description\" 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