{"id":2556,"date":"2023-07-21T18:20:28","date_gmt":"2023-07-21T18:20:28","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%b1%bc%e4%b8%8e%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83\/"},"modified":"2023-07-21T18:20:28","modified_gmt":"2023-07-21T18:20:28","slug":"%e9%b1%bc%e4%b8%8e%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%b1%bc%e4%b8%8e%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83\/","title":{"rendered":"\u6cca\u677e\u5206\u5e03\u6216\u6b63\u6001\u5206\u5e03\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u6cca\u677e\u5206\u5e03<\/strong>\u548c<strong>\u6b63\u6001\u5206\u5e03<\/strong>\u662f\u7edf\u8ba1\u5b66\u4e2d\u6700\u5e38\u7528\u7684\u4e24\u79cd\u6982\u7387\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u6bcf\u4e2a\u53d1\u884c\u7248\u7684\u5feb\u901f\u8bf4\u660e\u4ee5\u53ca\u53d1\u884c\u7248\u4e4b\u95f4\u7684\u4e24\u4e2a\u4e3b\u8981\u533a\u522b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6982\u8ff0\uff1a\u6cca\u677e\u5206\u5e03<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u6cca\u677e\u5206\u5e03<\/strong>\u63cf\u8ff0\u4e86\u5728\u7ed9\u5b9a\u65f6\u95f4\u95f4\u9694\u5185\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\">\u968f\u673a\u53d8\u91cf<\/a><em>X<\/em>\u670d\u4ece\u6cca\u677e\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) = \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>0.1805<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u7ed9\u5b9a\u7684\u4e00\u5c0f\u65f6\u5185\u7ecf\u5386 3 \u6b21\u5206\u5a29\u7684\u6982\u7387\u662f<strong>0.1805<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6982\u8ff0\uff1a\u6b63\u6001\u5206\u5e03<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u6b63\u6001\u5206\u5e03<\/strong>\u63cf\u8ff0\u4e86\u968f\u673a\u53d8\u91cf\u5728\u7ed9\u5b9a\u533a\u95f4\u5185\u53d6\u503c\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b63\u6001\u5206\u5e03\u7684<a href=\"https:\/\/statorials.org\/cn\/cdf-\u4e0e-pdf\/\" target=\"_blank\" rel=\"noopener\">\u6982\u7387\u5bc6\u5ea6\u51fd\u6570<\/a>\u53ef\u4ee5\u5199\u4e3a\uff1a<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">P(X=x) = (1\/\u03c3\u221a <span style=\"border-top: 1px solid black;\">2\u03c0<\/span> )e <sup>-1\/2((x-\u03bc)\/\u03c3) <sup>2<\/sup><\/sup><\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03c3\uff1a<\/strong>\u5206\u5e03\u7684\u6807\u51c6\u504f\u5dee<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03bc\uff1a<\/strong>\u5206\u5e03\u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><b>x\uff1a<\/b>\u968f\u673a\u53d8\u91cf\u7684\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u67d0\u79cd\u6c34\u736d\u7684\u91cd\u91cf\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u03bc = 40 \u78c5\uff0c\u03c3 = 5 \u78c5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u4ece\u8fd9\u4e2a\u79cd\u7fa4\u4e2d\u968f\u673a\u9009\u62e9\u4e00\u53ea\u6c34\u736d\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97\u5b83\u7684\u4f53\u91cd\u5728 38 \u5230 42 \u78c5\u4e4b\u95f4\u7684\u6982\u7387\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">P<\/span> <span style=\"border-top: 1px solid black;\">(<\/span> <sup><sup>38<\/sup><\/sup> <sup>&lt; \/5) <sup>2<\/sup><\/sup> = <strong>0.3108<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u968f\u673a\u9009\u62e9\u7684\u6c34\u736d\u4f53\u91cd\u5728 38 \u5230 42 \u78c5\u4e4b\u95f4\u7684\u6982\u7387\u662f<strong>0.3108<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u533a\u522b#1\uff1a\u8c28\u614e\u4e0e\u8c28\u614e\u8fde\u7eed\u6570\u636e<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6cca\u677e\u5206\u5e03\u548c\u6b63\u6001\u5206\u5e03\u4e4b\u95f4\u7684\u7b2c\u4e00\u4e2a\u533a\u522b\u662f\u6bcf\u4e2a\u6982\u7387\u5206\u5e03\u5efa\u6a21\u7684\u6570\u636e\u7c7b\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u5904\u7406\u53ea\u80fd\u53d6\u7b49\u4e8e\u6216\u5927\u4e8e\u96f6\u7684\u6574\u6570\u503c<strong>\u7684\u79bb\u6563\u6570\u636e<\/strong>\u65f6\uff0c\u4f7f\u7528<strong>\u6cca\u677e\u5206\u5e03<\/strong>\u3002\u8fd9\u91cc\u6709\u4e9b\u4f8b\u5b50\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u547c\u53eb\u4e2d\u5fc3\u6bcf\u5c0f\u65f6\u63a5\u542c\u7684\u7535\u8bdd\u6570\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\">\u9910\u5385\u6bcf\u5929\u7684\u987e\u5ba2\u6570\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6bcf\u6708\u8f66\u7978\u6570\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6bcf\u79cd\u60c5\u51b5\u4e0b\uff0c\u968f\u673a\u53d8\u91cf\u53ea\u80fd\u53d6\u503c0\u30011\u30012\u30013\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u5904\u7406\u53ef\u4ee5\u53d6\u4ece\u8d1f\u65e0\u7a77\u5927\u5230\u6b63\u65e0\u7a77\u5927\u7684<em>\u4efb\u4f55<\/em>\u503c<strong>\u7684\u8fde\u7eed\u6570\u636e<\/strong>\u65f6\uff0c\u4f7f\u7528<strong>\u6b63\u6001\u5206\u5e03<\/strong>\u3002\u8fd9\u91cc\u6709\u4e9b\u4f8b\u5b50\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u67d0\u79cd\u52a8\u7269\u7684\u4f53\u91cd<\/span><\/li>\n<li><span style=\"color: #000000;\">\u67d0\u79cd\u690d\u7269\u7684\u9ad8\u5ea6<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5973\u5b50\u9a6c\u62c9\u677e\u65f6\u95f4<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6e29\u5ea6\uff08\u6444\u6c0f\u5ea6\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u4e9b\u573a\u666f\u4e2d\uff0c\u968f\u673a\u53d8\u91cf\u53ef\u4ee5\u91c7\u7528<em>\u4efb\u4f55<\/em>\u503c\uff0c\u4f8b\u5982 -11.3\u300121.343435\u300185 \u7b49\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5dee\u5f02#2\uff1a\u5206\u5e03\u5f62\u72b6<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6cca\u677e\u5206\u5e03\u4e0e\u6b63\u6001\u5206\u5e03\u7684\u7b2c\u4e8c\u4e2a\u533a\u522b\u5728\u4e8e\u5206\u5e03\u7684\u5f62\u72b6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b63\u6001\u5206\u5e03<\/strong>\u603b\u662f\u5448\u949f\u5f62\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22710 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normepoisson1.jpg\" alt=\"\" width=\"416\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u6cca\u677e\u5206\u5e03\u7684\u5f62\u72b6\u6839\u636e\u5206\u5e03\u7684\u5e73\u5747\u503c\u800c\u53d8\u5316\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5747\u503c\u8f83\u5c0f\uff08\u5982<strong>\u03bc = 3\uff09<\/strong>\u7684\u6cca\u677e\u5206\u5e03\u5c06\u4e25\u91cd<a href=\"https:\/\/statorials.org\/cn\/\u5de6\u504f\u4e0e\u53f3\u504f\/\" target=\"_blank\" rel=\"noopener\">\u53f3\u504f<\/a>\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22713 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normepoisson3.jpg\" alt=\"\" width=\"410\" height=\"386\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u5177\u6709\u8f83\u5927\u5e73\u5747\u503c\uff08\u5982<strong>\u03bc = 20\uff09<\/strong>\u7684\u6cca\u677e\u5206\u5e03\u5c06\u5448\u73b0\u51fa\u949f\u5f62\uff0c\u5c31\u50cf\u6b63\u6001\u5206\u5e03\u4e00\u6837\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22715 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normepoisson4-1.jpg\" alt=\"\" width=\"403\" height=\"390\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u65e0\u8bba\u5e73\u5747\u503c\u662f\u591a\u5c11\uff0c\u6cca\u677e\u5206\u5e03\u7684\u4e0b\u754c\u59cb\u7ec8\u4e3a\u96f6\uff0c\u56e0\u4e3a\u6cca\u677e\u5206\u5e03\u53ea\u80fd\u7528\u4e8e\u7b49\u4e8e\u6216\u5927\u4e8e\u96f6\u7684\u6574\u6570\u503c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u6709\u5173\u6cca\u677e\u5206\u5e03\u7684\u66f4\u591a\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u6cca\u677e\u5206\u5e03\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6cca\u677e\u5206\u5e03\u5047\u8bbe\/\" target=\"_blank\" rel=\"noopener\">\u6cca\u677e\u5206\u5e03\u7684\u56db\u4e2a\u5047\u8bbe<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u5206\u5e03\u5b9e\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u6cca\u677e\u5206\u5e03\u7684 5 \u4e2a\u5177\u4f53\u4f8b\u5b50<\/a><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u6709\u5173\u6b63\u6001\u5206\u5e03\u7684\u5176\u4ed6\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u6001\u5206\u5e03\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\u793a\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u6001\u5206\u5e03\u7684 6 \u4e2a\u5177\u4f53\u4f8b\u5b50<\/a><br \/> <a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\u6570\u636e\u96c6\u751f\u6210\u5668\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u6001\u5206\u5e03\u6570\u636e\u96c6\u751f\u6210\u5668<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6cca\u677e\u5206\u5e03\u548c\u6b63\u6001\u5206\u5e03\u662f\u7edf\u8ba1\u5b66\u4e2d\u6700\u5e38\u7528\u7684\u4e24\u79cd\u6982\u7387\u5206\u5e03\u3002 \u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u6bcf\u4e2a\u53d1\u884c\u7248\u7684\u5feb\u901f\u8bf4\u660e\u4ee5\u53ca\u53d1\u884c\u7248\u4e4b\u95f4\u7684\u4e24\u4e2a\u4e3b\u8981\u533a [&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-2556","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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