{"id":692,"date":"2023-07-29T02:06:34","date_gmt":"2023-07-29T02:06:34","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%9a%8f%e6%9c%ba%e5%8f%98%e9%87%8f-2\/"},"modified":"2023-07-29T02:06:34","modified_gmt":"2023-07-29T02:06:34","slug":"%e9%9a%8f%e6%9c%ba%e5%8f%98%e9%87%8f-2","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%9a%8f%e6%9c%ba%e5%8f%98%e9%87%8f-2\/","title":{"rendered":"\u4ec0\u4e48\u662f\u968f\u673a\u53d8\u91cf\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u968f\u673a<\/strong><strong>\u53d8\u91cf<\/strong>\uff0c\u901a\u5e38\u8868\u793a\u4e3aX\uff0c\u662f\u4e00\u4e2a\u5176\u53ef\u80fd\u503c\u662f\u968f\u673a\u8fc7\u7a0b\u7ed3\u679c\u7684\u53d8\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6709\u4e24\u79cd\u7c7b\u578b\u7684\u968f\u673a\u53d8\u91cf\uff1a<strong>\u79bb\u6563\u53d8\u91cf<\/strong>\u548c<strong>\u8fde\u7eed\u53d8\u91cf<\/strong>\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u79bb\u6563\u968f\u673a\u53d8\u91cf<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u79bb\u6563\u968f\u673a\u53d8\u91cf<\/strong>\u662f\u4e00\u79cd\u53ea\u80fd\u53d6\u53ef\u6570\u4e2a\u4e0d\u540c\u503c\u7684\u53d8\u91cf\uff0c\u4f8b\u5982 0\u30011\u30012\u30013\u30014\u30015\u2026100\u3001100 \u4e07\u7b49\u3002\u4ee5\u4e0b\u662f\u79bb\u6563\u968f\u673a\u53d8\u91cf\u7684\u4e00\u4e9b\u793a\u4f8b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u4e00\u679a\u786c\u5e01\u629b\u63b7 20 \u6b21\u540e\u53cd\u9762\u843d\u5730\u7684\u6b21\u6570\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u9ab0\u5b50\u6eda\u52a8 100 \u6b21\u540e\u843d\u5728\u6570\u5b57<em>4<\/em>\u4e0a\u7684\u6b21\u6570\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e00\u76d2 50 \u4e2a\u5c0f\u90e8\u4ef6\u4e2d\u7f3a\u9677\u5c0f\u90e8\u4ef6\u7684\u6570\u91cf\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u79bb\u6563\u968f\u673a\u53d8\u91cf\u7684<strong>\u6982\u7387\u5206\u5e03<\/strong>\u544a\u8bc9\u6211\u4eec\u968f\u673a\u53d8\u91cf\u53d6\u7279\u5b9a\u503c\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u63b7\u4e86\u4e00\u6b21\u516c\u5e73\u9ab0\u5b50\u3002\u5982\u679c\u6211\u4eec\u8ba9X\u8868\u793a\u9ab0\u5b50\u843d\u5728\u67d0\u4e2a\u6570\u5b57\u4e0a\u7684\u6982\u7387\uff0c\u90a3\u4e48\u6982\u7387\u5206\u5e03\u53ef\u4ee5\u5199\u6210\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>P(X=1)\uff1a<\/strong> 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=2)\uff1a<\/strong> 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=3)\uff1a<\/strong> 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=4)\uff1a<\/strong> 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=5)\uff1a<\/strong> 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=6)\uff1a<\/strong> 1\/6<\/span><\/li>\n<\/ul>\n<blockquote>\n<p><span style=\"color: #000000;\"><strong>\u7b14\u8bb0\uff1a<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u4f7f\u6982\u7387\u5206\u5e03\u6709\u6548\uff0c\u5b83\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u4e24\u4e2a\u6807\u51c6\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u6bcf\u4e2a\u7ed3\u679c\u7684\u6982\u7387\u5fc5\u987b\u5728 0 \u5230 1 \u4e4b\u95f4\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u6240\u6709\u6982\u7387\u7684\u603b\u548c\u5fc5\u987b\u4e3a 1\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u63b7\u9ab0\u5b50\u7684\u6982\u7387\u5206\u5e03\u6ee1\u8db3\u8fd9\u4e24\u4e2a\u6807\u51c6\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u6bcf\u4e2a\u7ed3\u679c\u7684\u6982\u7387\u90fd\u5728 0 \u5230 1 \u4e4b\u95f4\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u6240\u6709\u6982\u7387\u7684\u603b\u548c\u4e3a 1\u3002<\/span><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u76f4\u65b9\u56fe\u6765\u53ef\u89c6\u5316\u6982\u7387\u5206\u5e03\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6659 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variable-aleatoire1-2.png\" alt=\"\u79bb\u6563\u968f\u673a\u53d8\u91cf\u7684 PDF\" width=\"461\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u79bb\u6563\u968f\u673a\u53d8\u91cf\u7684<strong>\u7d2f\u79ef\u6982\u7387\u5206\u5e03<\/strong>\u544a\u8bc9\u6211\u4eec\u8be5\u53d8\u91cf\u7684\u503c<em>\u7b49\u4e8e\u6216\u5c0f\u4e8e<\/em>\u67d0\u4e2a\u503c\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u63b7\u9ab0\u5b50\u7684\u7d2f\u79ef\u6982\u7387\u5206\u5e03\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>P(X\u22641)\uff1a<\/strong> 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X\u22642)\uff1a<\/strong> 2\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X\u22643)\uff1a<\/strong> 3\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X\u22644)\uff1a<\/strong> 4\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X\u22645)\uff1a<\/strong> 5\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X\u22646)\uff1a<\/strong> 6\/6<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u9ab0\u5b50\u843d\u5728 1 \u6216\u66f4\u5c11\u7684\u6570\u5b57\u4e0a\u7684\u51e0\u7387\u4ec5\u4e3a 1\/6\uff0c\u56e0\u4e3a\u5b83\u4e0d\u80fd\u843d\u5728\u5c0f\u4e8e 1 \u7684\u6570\u5b57\u4e0a\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u843d\u5728\u4e24\u4e2a\u6216\u66f4\u5c11\u7684\u7269\u4f53\u4e0a\u7684\u6982\u7387\u4e3a P(X=1) + P(X=2) = 1\/6 + 1\/6 = 2\/6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u540c\u6837\uff0c\u5b83\u843d\u5728\u4e09\u4e2a\u6216\u66f4\u5c11\u7684\u6982\u7387\u4e3a P(X=1) + P(X=2) + P(X=3) = 1\/6 + 1\/6 + 1\/6 = 3\/6\uff0c\u5e76\u4e14\u5f88\u5feb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u4f7f\u7528\u76f4\u65b9\u56fe\u6765\u53ef\u89c6\u5316\u7d2f\u79ef\u6982\u7387\u5206\u5e03\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6657\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variable-aleatoire2.png\" alt=\"\u79bb\u6563\u968f\u673a\u53d8\u91cf\u7684 CDF\" width=\"459\" height=\"370\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8fde\u7eed\u968f\u673a\u53d8\u91cf<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u8fde\u7eed\u968f\u673a\u53d8\u91cf<\/strong>\u662f\u53ef\u4ee5\u53d6\u65e0\u9650\u591a\u4e2a\u53ef\u80fd\u503c\u7684\u53d8\u91cf\u3002\u4ee5\u4e0b\u662f\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u7684\u4e00\u4e9b\u793a\u4f8b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u52a8\u7269\u7684\u4f53\u91cd<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e00\u4e2a\u4eba\u7684\u8eab\u9ad8<\/span><\/li>\n<li><span style=\"color: #000000;\">\u8dd1\u9a6c\u62c9\u677e\u6240\u9700\u65f6\u95f4<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u4e00\u4e2a\u4eba\u7684\u8eab\u9ad8\u53ef\u80fd\u662f 60.2 \u82f1\u5bf8\u300165.2344 \u82f1\u5bf8\u300170.431222 \u82f1\u5bf8\u7b49\u3002\u5927\u5c0f\u6709\u65e0\u6570\u53ef\u80fd\u7684\u503c\u3002<\/span><\/p>\n<blockquote>\n<p><span style=\"color: #000000;\"><strong>\u4e00\u822c\u89c4\u5219\uff1a<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u53ef\u4ee5<i>\u8ba1\u7b97<\/i>\u7ed3\u679c\u7684\u6570\u91cf\uff0c\u90a3\u4e48\u60a8\u6b63\u5728\u4f7f\u7528\u79bb\u6563\u968f\u673a\u53d8\u91cf &#8211; \u4f8b\u5982\uff0c\u8ba1\u7b97\u786c\u5e01\u6b63\u9762\u671d\u4e0a\u7684\u6b21\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f46\u5982\u679c\u60a8\u53ef\u4ee5<i>\u6d4b\u91cf<\/i>\u7ed3\u679c\uff0c\u90a3\u4e48\u60a8\u6b63\u5728\u4f7f\u7528\u8fde\u7eed\u968f\u673a\u53d8\u91cf &#8211; \u4f8b\u5982\u6d4b\u91cf\u8eab\u9ad8\u3001\u4f53\u91cd\u3001\u65f6\u95f4\u7b49\u3002<\/span><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\">\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u7684<strong>\u6982\u7387\u5206\u5e03<\/strong>\u544a\u8bc9\u6211\u4eec\u968f\u673a\u53d8\u91cf\u53d6\u7279\u5b9a\u503c\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u4e0e\u79bb\u6563\u968f\u673a\u53d8\u91cf\u7684\u6982\u7387\u5206\u5e03\u4e0d\u540c\uff0c\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u7684\u6982\u7387\u5206\u5e03\u53ea\u80fd\u7528\u4e8e\u544a\u8bc9\u6211\u4eec\u8be5\u53d8\u91cf\u53d6\u4e00\u5b9a<em>\u8303\u56f4<\/em>\u503c\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u7279\u5b9a\u9910\u5385\u7684\u6c49\u5821\u91cd\u56db\u5206\u4e4b\u4e00\u78c5\uff080.25 \u78c5\uff09\u7684\u6982\u7387\u3002\u7531\u4e8e<em>\u91cd\u91cf<\/em>\u662f\u8fde\u7eed\u53d8\u91cf\uff0c\u56e0\u6b64\u5b83\u53ef\u4ee5\u53d6\u65e0\u9650\u591a\u4e2a\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u7ed9\u5b9a\u7684\u6c49\u5821\u5305\u5b9e\u9645\u4e0a\u53ef\u80fd\u91cd 0.250001 \u78c5\u30010.24 \u78c5\u6216 0.2488 \u78c5\u3002\u7ed9\u5b9a\u6c49\u5821\u7684\u91cd\u91cf\u6070\u597d\u4e3a 0.25 \u78c5\u7684\u6982\u7387\u57fa\u672c\u4e0a\u4e3a\u96f6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6240\u4ee5\u6211\u4eec\u53ea\u80fd\u7528\u6982\u7387\u5206\u5e03\u6765\u544a\u8bc9\u6211\u4eec\u4e00\u4e2a\u6c49\u5821\u91cd\u91cf\u5c0f\u4e8e0.25\u78c5\u3001\u5927\u4e8e0.25\u78c5\u3001\u6216\u8005\u5728\u67d0\u4e2a\u8303\u56f4\u4e4b\u95f4\uff08\u4f8b\u5982\u57280.23\u78c5\u52300.27\u78c5\u4e4b\u95f4\uff09\u7684\u6982\u7387\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\u968f\u673a\u53d8\u91cf\u7684\u5176\u4ed6\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u72ec\u7acb\u540c\u5206\u5e03\u968f\u673a\u53d8\u91cf\/\" target=\"_blank\" rel=\"noopener\">\u4ec0\u4e48\u662f\u72ec\u7acb\u540c\u5206\u5e03\u968f\u673a\u53d8\u91cf\uff1f<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf\u771f\u5b9e\u4f8b\u5b50\/\" target=\"_blank\" rel=\"noopener\">\u73b0\u5b9e\u751f\u6d3b\u4e2d\u968f\u673a\u53d8\u91cf\u7684 10 \u4e2a\u4f8b\u5b50<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u968f\u673a\u53d8\u91cf\uff0c\u901a\u5e38\u8868\u793a\u4e3aX\uff0c\u662f\u4e00\u4e2a\u5176\u53ef\u80fd\u503c\u662f\u968f\u673a\u8fc7\u7a0b\u7ed3\u679c\u7684\u53d8\u91cf\u3002 \u6709\u4e24\u79cd\u7c7b\u578b\u7684\u968f\u673a\u53d8\u91cf\uff1a\u79bb\u6563\u53d8\u91cf\u548c\u8fde\u7eed\u53d8\u91cf\u3002 \u79bb\u6563 [&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-692","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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