{"id":238,"date":"2023-08-03T19:21:56","date_gmt":"2023-08-03T19:21:56","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%a6%bb%e6%95%a3%e6%a6%82%e7%8e%87%e5%88%86%e5%b8%83\/"},"modified":"2023-08-03T19:21:56","modified_gmt":"2023-08-03T19:21:56","slug":"%e7%a6%bb%e6%95%a3%e6%a6%82%e7%8e%87%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%a6%bb%e6%95%a3%e6%a6%82%e7%8e%87%e5%88%86%e5%b8%83\/","title":{"rendered":"\u79bb\u6563\u6982\u7387\u5206\u5e03"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u79bb\u6563\u6982\u7387\u5206\u5e03\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u542b\u4e49\u3001\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u793a\u4f8b\u4ee5\u53ca\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u4e0d\u540c\u7c7b\u578b\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-distribucion-de-probabilidad-discreta\"><\/span>\u4ec0\u4e48\u662f\u79bb\u6563\u6982\u7387\u5206\u5e03\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u79bb\u6563\u6982\u7387\u5206\u5e03<\/strong>\u662f\u5b9a\u4e49<a href=\"https:\/\/statorials.org\/cn\/\u79bb\u6563\u53d8\u91cf\/\">\u79bb\u6563\u968f\u673a\u53d8\u91cf<\/a>\u7684\u6982\u7387\u7684\u5206\u5e03\u3002\u56e0\u6b64\uff0c\u79bb\u6563\u6982\u7387\u5206\u5e03\u53ea\u80fd\u53d6\u6709\u9650\u4e2a\u503c\uff08\u901a\u5e38\u662f\u6574\u6570\uff09\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4e8c\u9879\u5206\u5e03\u3001\u6cca\u677e\u5206\u5e03\u548c\u8d85\u51e0\u4f55\u5206\u5e03\u90fd\u662f\u79bb\u6563\u6982\u7387\u5206\u5e03\u3002<\/p>\n<p>\u5728\u79bb\u6563\u6982\u7387\u5206\u5e03\u4e2d\uff0c\u4ee3\u8868 (xi <sub>)<\/sub>\u7684\u79bb\u6563\u53d8\u91cf\u7684\u6bcf\u4e2a\u503c\u90fd\u4e0e\u8303\u56f4\u4ece 0 \u5230 1 \u7684\u6982\u7387\u503c (p <sub>i<\/sub> ) \u76f8\u5173\u8054\u3002\u56e0\u6b64\uff0c\u79bb\u6563\u5206\u5e03\u4e2d\u6240\u6709\u6982\u7387\u7684\u603b\u548c\u7ed9\u51fa\u7684\u7ed3\u679c\u662f\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-115362012319df0fa040b1606f0cf461_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}P[X=x_i]=p_i \\quad i=1,2,\\ldots, n\\\\[2ex]0\\leq p_i\\leq 1\\\\[2ex]\\displaystyle\\sum_{i=0}^{n}p_i=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"123\" width=\"241\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-distribuciones-de-probabilidad-discretas\"><\/span>\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u5c06\u770b\u5230\u6b64\u7c7b\u5206\u5e03\u7684\u51e0\u4e2a\u793a\u4f8b\uff0c\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\u3002<\/p>\n<p><strong><u style=\"text-decoration-color:#FF8A05\">\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u793a\u4f8b\uff1a<\/u><\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u63b7\u9ab0\u5b5030\u6b21\uff0c\u5f97\u5230\u6570\u5b575\u7684\u6b21\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u4e00\u5929\u5185\u8bbf\u95ee\u67d0\u4e2a\u7f51\u9875\u7684\u7528\u6237\u6570\u91cf\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u603b\u5171 50 \u540d\u5b66\u751f\u4e2d\u901a\u8fc7\u8003\u8bd5\u7684\u5b66\u751f\u4eba\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">100 \u4e2a\u4ea7\u54c1\u6837\u672c\u4e2d\u7684\u7f3a\u9677\u5355\u4f4d\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u4e00\u4e2a\u4eba\u5fc5\u987b\u53c2\u52a0\u9a7e\u9a76\u8003\u8bd5\u624d\u80fd\u901a\u8fc7\u7684\u6b21\u6570\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-distribuciones-de-probabilidad-discretas\"><\/span>\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u7c7b\u578b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u79bb\u6563\u6982\u7387\u5206\u5e03\u7684\u4e3b\u8981\u7c7b\u578b<\/strong>\u6709\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u79bb\u6563\u5747\u5300\u5206\u5e03<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4f2f\u52aa\u5229\u5206\u5e03<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e8c\u9879\u5206\u5e03<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u9c7c\u7c7b\u5206\u5e03<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u591a\u9879\u5206\u5e03<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u51e0\u4f55\u5206\u5e03<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8d1f\u4e8c\u9879\u5206\u5e03<\/strong><\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8d85\u51e0\u4f55\u5206\u5e03<\/strong><\/span><\/li>\n<\/ul>\n<p>\u4e0b\u9762\u8be6\u7ec6\u89e3\u91ca\u6bcf\u79cd\u7c7b\u578b\u7684\u79bb\u6563\u6982\u7387\u5206\u5e03\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-uniforme-discreta\"><\/span>\u79bb\u6563\u5747\u5300\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u79bb\u6563\u5747\u5300\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u79bb\u6563\u6982\u7387\u5206\u5e03\uff0c\u5176\u4e2d\u6240\u6709\u503c\u90fd\u662f\u7b49\u6982\u7387\u7684\uff0c\u5373\u5728\u79bb\u6563\u5747\u5300\u5206\u5e03\u4e2d\uff0c\u6240\u6709\u503c\u51fa\u73b0\u7684\u6982\u7387\u76f8\u540c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u9ab0\u5b50\u7684\u6eda\u52a8\u53ef\u4ee5\u7528\u79bb\u6563\u5747\u5300\u5206\u5e03\u6765\u5b9a\u4e49\uff0c\u56e0\u4e3a\u6240\u6709\u53ef\u80fd\u7684\u7ed3\u679c\uff081\u30012\u30013\u30014\u30015 \u6216 6\uff09\u5177\u6709\u76f8\u540c\u7684\u53d1\u751f\u6982\u7387\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u79bb\u6563\u5747\u5300\u5206\u5e03\u6709\u4e24\u4e2a\u7279\u5f81\u53c2\u6570<em>a<\/em>\u548c<em>b<\/em> \uff0c\u5b83\u4eec\u5b9a\u4e49\u4e86\u5206\u5e03\u53ef\u4ee5\u53d6\u7684\u53ef\u80fd\u503c\u7684\u8303\u56f4\u3002\u56e0\u6b64\uff0c\u5f53\u53d8\u91cf\u7531\u79bb\u6563\u5747\u5300\u5206\u5e03\u5b9a\u4e49\u65f6\uff0c\u5b83\u88ab\u5199\u4e3a<em>Uniform(a,b)<\/em> \u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9977cf21c766a3d0ee2d79c8210dc598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Uniforme}(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u79bb\u6563\u5747\u5300\u5206\u5e03\u53ef\u4ee5\u7528\u6765\u63cf\u8ff0\u968f\u673a\u5b9e\u9a8c\uff0c\u56e0\u4e3a\u5982\u679c\u6240\u6709\u7ed3\u679c\u5177\u6709\u76f8\u540c\u7684\u6982\u7387\uff0c\u5219\u610f\u5473\u7740\u5b9e\u9a8c\u662f\u968f\u673a\u7684\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u79bb\u6563\u5747\u5300\u5206\u5e03\/\">\u79bb\u6563\u5747\u5300\u5206\u5e03\u7684\u516c\u5f0f<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-bernoulli\"><\/span>\u4f2f\u52aa\u5229\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4f2f\u52aa\u5229\u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u4e8c\u5206\u5206\u5e03<\/strong>\uff0c\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u8868\u793a\u53ea\u80fd\u6709\u4e24\u79cd\u7ed3\u679c\u7684\u79bb\u6563\u53d8\u91cf\uff1a\u201c\u6210\u529f\u201d\u6216\u201c\u5931\u8d25\u201d\u3002<\/p>\n<p>\u5728\u4f2f\u52aa\u5229\u5206\u5e03\u4e2d\uff0c\u201c\u6210\u529f\u201d\u662f\u6211\u4eec\u671f\u671b\u7684\u7ed3\u679c\uff0c\u5176\u503c\u4e3a 1\uff0c\u800c\u201c\u5931\u8d25\u201d\u7684\u7ed3\u679c\u662f\u4e0e\u9884\u671f\u4e0d\u540c\u7684\u7ed3\u679c\uff0c\u5176\u503c\u4e3a 0\u3002\u56e0\u6b64\uff0c\u5982\u679c\u201c\u7ed3\u679c\u7684\u6982\u7387\u201d \u201c\u6210\u529f\u201d\u7684\u7ed3\u679c\u4e3a<em>p<\/em> \uff0c\u201c\u5931\u8d25\u201d\u7ed3\u679c\u7684\u6982\u7387\u4e3a<em>q=1-p<\/em> \u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-384fd7d96d4d6584739b04a6e331b251_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim \\text{Bernoulli}(p)\\\\[2ex]\\begin{array}{l} \\text{\\'Exito}\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ P[X=1]=p\\\\[2ex]\\text{Fracaso}\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ P[X=0]=q=1-p\\end{array}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"361\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f2f\u52aa\u5229\u5206\u5e03\u4ee5\u745e\u58eb\u7edf\u8ba1\u5b66\u5bb6\u96c5\u5404\u5e03\u00b7\u4f2f\u52aa\u5229\u7684\u540d\u5b57\u547d\u540d\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u4f2f\u52aa\u5229\u5206\u5e03\u4e3b\u8981\u6709\u4e00\u4e2a\u5e94\u7528\uff1a\u5b9a\u4e49\u5b9e\u9a8c\u7684\u6982\u7387\uff0c\u5176\u4e2d\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff1a\u6210\u529f\u548c\u5931\u8d25\u3002\u56e0\u6b64\uff0c\u4f7f\u7528\u4f2f\u52aa\u5229\u5206\u5e03\u7684\u5b9e\u9a8c\u79f0\u4e3a\u4f2f\u52aa\u5229\u6d4b\u8bd5\u6216\u4f2f\u52aa\u5229\u5b9e\u9a8c\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4f2f\u52aa\u5229\u5206\u5e03\/\">\u4f2f\u52aa\u5229\u5206\u5e03\u516c\u5f0f<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-binomial\"><\/span>\u4e8c\u9879\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u4e8c\u9879\u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u4e8c\u9879\u5206\u5e03<\/strong>\uff0c\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5728\u4ee5\u6052\u5b9a\u7684\u6210\u529f\u6982\u7387\u8fdb\u884c\u4e00\u7cfb\u5217\u72ec\u7acb\u7684\u4e8c\u5206\u5b9e\u9a8c\u65f6\uff0c\u7edf\u8ba1\u6210\u529f\u7684\u6b21\u6570\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e8c\u9879\u5206\u5e03\u662f\u63cf\u8ff0\u4e00\u7cfb\u5217\u4f2f\u52aa\u5229\u8bd5\u9a8c\u7684\u6210\u529f\u7ed3\u679c\u6570\u91cf\u7684\u5206\u5e03\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4e00\u679a\u786c\u5e01\u51fa\u73b0 25 \u6b21\u6b63\u9762\u7684\u6b21\u6570\u5c31\u662f\u4e8c\u9879\u5f0f\u5206\u5e03\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u6267\u884c\u7684\u5b9e\u9a8c\u603b\u6570\u7531\u53c2\u6570<em>n<\/em>\u5b9a\u4e49\uff0c\u800c<em>p<\/em>\u662f\u6bcf\u4e2a\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387\u3002\u56e0\u6b64\uff0c\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u53ef\u5199\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2f2b2be5bfe6c63bd13c552f4c893f59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(n,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u4e8c\u9879\u5206\u5e03\u4e2d\uff0c\u5b8c\u5168\u76f8\u540c\u7684\u5b9e\u9a8c\u91cd\u590d<em>n<\/em>\u6b21\uff0c\u5e76\u4e14\u5b9e\u9a8c\u5f7c\u6b64\u72ec\u7acb\uff0c\u56e0\u6b64\u6bcf\u6b21\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387\u662f\u76f8\u540c\u7684<em>(p)<\/em> \u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5206\u5e03-1\/\">\u4e8c\u9879\u5f0f\u5206\u5e03\u516c\u5f0f<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-poisson\"><\/span>\u9c7c\u7c7b\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u6cca\u677e\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5b9a\u4e49\u4e86\u4e00\u6bb5\u65f6\u95f4\u5185\u53d1\u751f\u7ed9\u5b9a\u6570\u91cf\u7684\u4e8b\u4ef6\u7684\u6982\u7387\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6cca\u677e\u5206\u5e03\u7528\u4e8e\u5bf9\u968f\u673a\u53d8\u91cf\u8fdb\u884c\u5efa\u6a21\uff0c\u8fd9\u4e9b\u968f\u673a\u53d8\u91cf\u63cf\u8ff0\u73b0\u8c61\u5728\u65f6\u95f4\u95f4\u9694\u5185\u91cd\u590d\u7684\u6b21\u6570\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u7535\u8bdd\u4ea4\u6362\u673a\u6bcf\u5206\u949f\u63a5\u6536\u7684\u547c\u53eb\u6570\u91cf\u662f\u4e00\u4e2a\u79bb\u6563\u968f\u673a\u53d8\u91cf\uff0c\u53ef\u4ee5\u4f7f\u7528\u6cca\u677e\u5206\u5e03\u6765\u5b9a\u4e49\u3002<\/p>\n<p>\u6cca\u677e\u5206\u5e03\u6709\u4e00\u4e2a\u7279\u5f81\u53c2\u6570\uff0c\u7528\u5e0c\u814a\u5b57\u6bcd \u03bb \u8868\u793a\uff0c\u8868\u793a\u6240\u7814\u7a76\u7684\u4e8b\u4ef6\u5728\u7ed9\u5b9a\u65f6\u95f4\u95f4\u9694\u5185\u9884\u8ba1\u53d1\u751f\u7684\u6b21\u6570\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be6e10a2b0137ec81fc7d366f237d1b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Poisson}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u6cd5\/\">\u9c7c\u7c7b\u5206\u5e03\u516c\u5f0f<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-multinomial\"><\/span>\u591a\u9879\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u591a\u9879\u5f0f\u5206\u5e03<\/strong>\uff08\u6216<strong>\u591a\u9879\u5f0f\u5206\u5e03<\/strong>\uff09\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u63cf\u8ff0\u4e86\u7ecf\u8fc7\u591a\u6b21\u8bd5\u9a8c\u540e\uff0c\u82e5\u5e72\u4e92\u65a5\u4e8b\u4ef6\u53d1\u751f\u7ed9\u5b9a\u6b21\u6570\u7684\u6982\u7387\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u968f\u673a\u5b9e\u9a8c\u53ef\u4ee5\u4ea7\u751f\u4e09\u4e2a\u6216\u66f4\u591a\u7684\u6392\u4ed6\u4e8b\u4ef6\uff0c\u5e76\u4e14\u6bcf\u4e2a\u4e8b\u4ef6\u5355\u72ec\u53d1\u751f\u7684\u6982\u7387\u5df2\u77e5\uff0c\u5219\u4f7f\u7528\u591a\u9879\u5206\u5e03\u6765\u8ba1\u7b97\u5f53\u8fdb\u884c\u591a\u4e2a\u5b9e\u9a8c\u65f6\uff0c\u4e00\u5b9a\u6570\u91cf\u7684\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u3002\u6bcf\u6b21\u7684\u65f6\u95f4\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u591a\u9879\u5206\u5e03\u662f\u4e8c\u9879\u5206\u5e03\u7684\u63a8\u5e7f\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u591a\u9879\u5206\u5e03-1\/\">\u591a\u9879\u5206\u5e03\u516c\u5f0f<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-geometrica\"><\/span>\u51e0\u4f55\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u51e0\u4f55\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5b9a\u4e49\u4e86\u83b7\u5f97\u7b2c\u4e00\u4e2a\u6210\u529f\u7ed3\u679c\u6240\u9700\u7684\u4f2f\u52aa\u5229\u8bd5\u9a8c\u6b21\u6570\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u51e0\u4f55\u5206\u5e03\u6a21\u578b\u662f\u91cd\u590d\u4f2f\u52aa\u5229\u5b9e\u9a8c\u76f4\u5230\u5176\u4e2d\u4e00\u4e2a\u5b9e\u9a8c\u83b7\u5f97\u80af\u5b9a\u7ed3\u679c\u7684\u8fc7\u7a0b\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u9053\u8def\u4e0a\u884c\u9a76\u76f4\u5230\u770b\u5230\u9ec4\u8272\u6c7d\u8f66\u7684\u6c7d\u8f66\u6570\u91cf\u662f\u51e0\u4f55\u5206\u5e03\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u4f2f\u52aa\u5229\u6d4b\u8bd5\u662f\u4e00\u79cd\u6709\u4e24\u79cd\u53ef\u80fd\u7ed3\u679c\u7684\u5b9e\u9a8c\uff1a\u201c\u6210\u529f\u201d\u548c\u201c\u5931\u8d25\u201d\u3002\u56e0\u6b64\uff0c\u5982\u679c\u201c\u6210\u529f\u201d\u7684\u6982\u7387\u4e3a<em>p<\/em> \uff0c\u5219\u201c\u5931\u8d25\u201d\u7684\u6982\u7387\u4e3a<em>q=1-p<\/em> \u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u51e0\u4f55\u5206\u5e03\u53d6\u51b3\u4e8e\u53c2\u6570<em>p<\/em> \uff0c\u5b83\u662f\u6240\u6709\u8fdb\u884c\u7684\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387\u3002\u6b64\u5916\uff0c\u6240\u6709\u5b9e\u9a8c\u7684\u6982\u7387<em>p<\/em>\u90fd\u662f\u76f8\u540c\u7684\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-22fef9b6ab8e3b351598caf9925c2b3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Geom\\'etrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u51e0\u4f55\u5206\u5e03\/\">\u51e0\u4f55\u5206\u5e03\u516c\u5f0f<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-binomial-negativa\"><\/span>\u8d1f\u4e8c\u9879\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u8d1f\u4e8c\u9879\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u63cf\u8ff0\u83b7\u5f97\u7ed9\u5b9a\u6570\u91cf\u7684\u6b63\u7ed3\u679c\u6240\u9700\u7684\u4f2f\u52aa\u5229\u8bd5\u9a8c\u6b21\u6570\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u5177\u6709\u4e24\u4e2a\u7279\u5f81\u53c2\u6570\uff1a <em>r<\/em>\u662f\u671f\u671b\u7684\u6210\u529f\u7ed3\u679c\u7684\u6570\u91cf\uff0c <em>p<\/em>\u662f\u6267\u884c\u7684\u6bcf\u4e2a\u4f2f\u52aa\u5229\u5b9e\u9a8c\u7684\u6210\u529f\u6982\u7387\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-171122de529a1c006bc46e8d89176016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{BN}(r,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u5b9a\u4e49\u4e86\u4e00\u4e2a\u8fc7\u7a0b\uff0c\u5176\u4e2d\u6839\u636e\u9700\u8981\u8fdb\u884c\u5c3d\u53ef\u80fd\u591a\u7684\u4f2f\u52aa\u5229\u8bd5\u9a8c\u4ee5\u83b7\u5f97\u6b63<em>\u7ed3\u679c<\/em>\u3002\u6b64\u5916\uff0c\u6240\u6709\u8fd9\u4e9b\u4f2f\u52aa\u5229\u8bd5\u9a8c\u90fd\u662f\u72ec\u7acb\u7684\uff0c\u5e76\u4e14<em>\u6210\u529f<\/em>\u7684\u6982\u7387\u6052\u5b9a\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u670d\u4ece\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u662f\u9ab0\u5b50\u5fc5\u987b\u6eda\u52a8\u7684\u6b21\u6570\uff0c\u76f4\u5230\u6570\u5b57 6 \u6eda\u52a8 3 \u6b21\u4e3a\u6b62\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u8d1f-1-\u4e8c\u9879\u5206\u5e03\/\">\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u516c\u5f0f<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-hipergeometrica\"><\/span>\u8d85\u51e0\u4f55\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u8d85\u51e0\u4f55\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u63cf\u8ff0\u4e86\u5728\u4e0d\u66ff\u6362\u603b\u4f53\u4e2d\u7684<em>n \u4e2a<\/em>\u5143\u7d20\u7684\u60c5\u51b5\u4e0b\u968f\u673a\u63d0\u53d6\u7684\u6210\u529f\u6848\u4f8b\u7684\u6570\u91cf\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u8d85\u51e0\u4f55\u5206\u5e03\u7528\u4e8e\u8ba1\u7b97\u5f53\u4ece\u603b\u4f53\u4e2d\u63d0\u53d6<em>n<\/em>\u4e2a\u5143\u7d20\u800c\u4e0d\u66ff\u6362\u5176\u4e2d\u4efb\u4f55\u4e00\u4e2a\u65f6\u83b7\u5f97<em>x<\/em>\u6b21\u6210\u529f\u7684\u6982\u7387\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8d85\u51e0\u4f55\u5206\u5e03\u5177\u6709\u4e09\u4e2a\u53c2\u6570\uff1a<\/p>\n<ul>\n<li> <strong><em>N<\/em><\/strong> \uff1a\u603b\u4f53\u4e2d\u5143\u7d20\u7684\u6570\u91cf\uff08N = 0, 1, 2,\u2026\uff09\u3002<\/li>\n<li> <strong><em>K<\/em><\/strong> \uff1a\u662f\u6700\u5927\u6210\u529f\u6848\u4f8b\u6570\uff08K = 0, 1, 2,\u2026,N\uff09\u3002\u7531\u4e8e\u5728\u8d85\u51e0\u4f55\u5206\u5e03\u4e2d\uff0c\u4e00\u4e2a\u5143\u7d20\u53ea\u80fd\u88ab\u89c6\u4e3a\u201c\u6210\u529f\u201d\u6216\u201c\u5931\u8d25\u201d\uff0c\u56e0\u6b64<em>NK<\/em>\u662f\u5931\u8d25\u6848\u4f8b\u7684\u6700\u5927\u6570\u91cf\u3002<\/li>\n<li> <strong><em>n<\/em><\/strong> \uff1a\u662f\u6267\u884c\u7684\u65e0\u66ff\u6362\u8bfb\u53d6\u7684\u6b21\u6570\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bd43d7c14739c66e63b224abf6cc20b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X \\sim HG(N,K,n)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u8d85\u51e0\u4f55\u5206\u5e03-1\/\">\u8d85\u51e0\u4f55\u5206\u5e03\u516c\u5f0f<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-probabilidad-discreta-y-continua\"><\/span>\u79bb\u6563\u548c\u8fde\u7eed\u6982\u7387\u5206\u5e03<span 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