{"id":234,"date":"2023-08-03T20:48:38","date_gmt":"2023-08-03T20:48:38","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83-1\/"},"modified":"2023-08-03T20:48:38","modified_gmt":"2023-08-03T20:48:38","slug":"%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%88%86%e5%b8%83-1\/","title":{"rendered":"\u4e8c\u9879\u5206\u5e03"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u4e8c\u9879\u5206\u5e03\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5b9a\u4e49\u3001\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u793a\u4f8b\u4ee5\u53ca\u6b64\u7c7b\u6982\u7387\u5206\u5e03\u7684\u5c5e\u6027\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u4f7f\u7528\u5728\u7ebf\u8ba1\u7b97\u5668\u8ba1\u7b97\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u4efb\u4f55\u6982\u7387\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-binomial\"><\/span>\u4ec0\u4e48\u662f\u4e8c\u9879\u5206\u5e03\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e8c\u9879\u5f0f\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u7528\u4e8e\u8ba1\u7b97\u4ee5\u6052\u5b9a\u7684\u6210\u529f\u6982\u7387\u6267\u884c\u4e00\u7cfb\u5217\u72ec\u7acb\u7684\u4e8c\u5206\u5b9e\u9a8c\u65f6\u7684\u6210\u529f\u6b21\u6570\u3002<\/p>\n<p>\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>\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>\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<p>\u4e8c\u9879\u5206\u5e03\u4e5f\u53ef\u79f0\u4e3a<strong>\u4e8c\u9879\u5206\u5e03<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-distribucion-binomial\"><\/span>\u4e8c\u9879\u5f0f\u5206\u5e03\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u5c06\u770b\u5230\u9075\u5faa\u8fd9\u79cd\u7c7b\u578b\u5206\u5e03\u7684\u53d8\u91cf\u7684\u51e0\u4e2a\u793a\u4f8b\uff0c\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u629b\u786c\u5e01 25 \u6b21\uff0c\u6b63\u9762\u51fa\u73b0\u7684\u6b21\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u7bee\u7403\u8fd0\u52a8\u5458\u4ece\u540c\u4e00\u4f4d\u7f6e\u5411\u7bee\u7b50\u6295\u7bee 60 \u6b21\u65f6\u7684\u51fa\u624b\u6b21\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u63b7\u9ab0\u5b50 30 \u6b21\u5f97\u5230\u6570\u5b57 6 \u7684\u6b21\u6570\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u603b\u5171 50 \u540d\u53c2\u52a0\u8003\u8bd5\u7684\u5b66\u751f\u4e2d\u901a\u8fc7\u7684\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\u5143\u6570\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-binomial\"><\/span>\u4e8c\u9879\u5206\u5e03\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7ed9\u5b9a\u53c2\u6570<em>x\u3001n\u3001p\uff0c<\/em>\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u6982\u7387\u51fd\u6570\u5b9a\u4e49\u4e3a<em>x<\/em>\u4e2d\u7684<em>n<\/em>\u4e58\u4ee5<em>p <sup>x<\/sup><\/em>\u4e58\u4ee5<em>(1-p) <sup>nx<\/sup><\/em>\u7684\u7ec4\u5408\u6570\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u4e8c\u9879\u5206\u5e03\u6982\u7387\u7684\u8ba1\u7b97\u516c\u5f0f<\/strong>\u4e3a\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-binomiale.png\" alt=\"\u4e8c\u9879\u5206\u5e03\u516c\u5f0f\" class=\"wp-image-4636\" width=\"291\" height=\"290\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4e0b\u9762\u7684\u8ba1\u7b97\u5668\u6765\u8ba1\u7b97\u53d8\u91cf\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u6982\u7387\u3002<\/u><\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u7d2f\u79ef\u6982\u7387\u662f\u901a\u8fc7\u5c06\u76f8\u5173\u6210\u529f\u6848\u4f8b\u6570\u91cf\u7684\u6982\u7387\u4e0e\u6240\u6709\u5148\u524d\u6982\u7387\u76f8\u52a0\u6765\u8ba1\u7b97\u7684\u3002\u56e0\u6b64\uff0c\u8ba1\u7b97\u4e8c\u9879\u5f0f\u5206\u5e03\u7d2f\u79ef\u6982\u7387\u7684\u516c\u5f0f\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-e31ef4ae023b8bf51c0b6816bc787c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\sum_{k=0}^x\\begin{pmatrix}n\\\\k\\end{pmatrix}p^k(1-p)^{n-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"262\" style=\"vertical-align: -22px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-la-distribucion-binomial\"><\/span>\u89e3\u51b3\u4e86\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\u6211\u4eec\u629b\u786c\u5e01 10 \u6b21\uff0c\u5f97\u5230 6 \u6b21\u6b63\u9762\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u8be5\u95ee\u9898\u4e2d\u7684\u53d8\u91cf\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\uff0c\u56e0\u4e3a\u6240\u6709\u53d1\u5c04\u90fd\u662f\u76f8\u4e92\u72ec\u7acb\u7684\uff0c\u5e76\u4e14\u4e5f\u5177\u6709\u76f8\u540c\u7684\u6210\u529f\u6982\u7387\u3002<\/p>\n<p>\u5177\u4f53\u6765\u8bf4\uff0c\u6210\u529f\u7684\u6982\u7387\u662f 50%\uff0c\u56e0\u4e3a\u4e24\u79cd\u53ef\u80fd\u7ed3\u679c\u4e2d\u53ea\u6709\u4e00\u79cd\u88ab\u8ba4\u4e3a\u662f\u6210\u529f\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-bdceac6409b69d142f23801ec85e2691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u672c\u6b21\u7ec3\u4e60\u7684\u5206\u5e03\u662f\u4e8c\u9879\u5f0f\uff0c\u5171\u6709 10 \u6b21\u5b9e\u9a8c\uff0c\u6982\u7387\u4e3a 0.5\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-b460c8983298ba0cf52c05f460905732_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(10 ; 0,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e3a\u4e86\u786e\u5b9a\u83b7\u5f97\u516d\u4e2a\u6b63\u9762\u7684\u6982\u7387\uff0c\u6211\u4eec\u9700\u8981\u5e94\u7528\u4e8c\u9879\u5f0f\u5206\u5e03\u516c\u5f0f\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-17346d59c641378880b734dfe88210f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P[X=x]&amp;=\\begin{pmatrix}n\\\\x\\end{pmatrix}p^x(1-p)^{n-x}\\\\[2ex]P[X=6]&amp;=\\begin{pmatrix}10\\\\6\\end{pmatrix}0,5^6(1-0,5)^{10-6}\\\\[2ex]P[X=6]&amp;=0,2051\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"279\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u629b\u786c\u5e01 10 \u6b21\uff0c\u6070\u597d\u5f97\u5230 6 \u4e2a\u6b63\u9762\u7684\u6982\u7387\u662f 20.51%\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-binomial\"><\/span>\u4e8c\u9879\u5206\u5e03\u7684\u7279\u5f81<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u9879\u5f0f\u5206\u5e03\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u4e8c\u9879\u5f0f\u5206\u5e03\u7531\u4e24\u4e2a\u53c2\u6570\u5b9a\u4e49\uff1a <em>n<\/em>\u662f\u4f2f\u52aa\u5229\u5b9e\u9a8c\u7684\u603b\u6570\uff0c <em>p<\/em>\u662f\u6bcf\u4e2a\u4f2f\u52aa\u5229\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387\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-cd9728a237a5f49107bf14f440620936_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\\\[2ex]n\\geq 0\\\\[2ex]0\\leq p\\leq 1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"108\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5e73\u5747\u503c\u7b49\u4e8e\u5b9e\u9a8c\u603b\u6570\u4e58\u4ee5\u6bcf\u4e2a\u5b9e\u9a8c\u6210\u529f\u6982\u7387\u7684\u4e58\u79ef\u3002\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u4e8c\u9879\u5206\u5e03\u7684\u5e73\u5747\u503c\uff0c\u5fc5\u987b\u5c06<em>n<\/em>\u4e58\u4ee5<em>p<\/em> \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-65db1683dc8790001072c564aadf3631_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=n\\cdot p\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u65b9\u5dee\u7b49\u4e8e\u8bd5\u9a8c\u603b\u6570\u4e58\u4ee5\u6210\u529f\u6982\u7387\u548c\u5931\u8d25\u6982\u7387\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-103608d604d211c1bd995dd3f982d11b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=n\\cdot p\\cdot (1-p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u6982\u7387\u51fd\u6570\u516c\u5f0f\u5982\u4e0b\uff1a<\/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-3ab3244961c8b68181859f8a87b2811c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]&amp;=\\begin{pmatrix}n\\\\ x\\end{pmatrix}p^x(1-p)^{n-x}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"235\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u7c7b\u4f3c\u5730\uff0c\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u7d2f\u79ef\u5206\u5e03\u51fd\u6570\u7684\u516c\u5f0f\u4e3a\uff1a<\/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-e31ef4ae023b8bf51c0b6816bc787c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\sum_{k=0}^x\\begin{pmatrix}n\\\\k\\end{pmatrix}p^k(1-p)^{n-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"262\" style=\"vertical-align: -22px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5177\u6709\u76f8\u540c\u6982\u7387\u7684\u4e24\u4e2a\u72ec\u7acb\u4e8c\u9879\u5f0f\u5206\u5e03\u4e4b\u548c\u76f8\u5f53\u4e8e\u5177\u6709\u76f8\u540c\u6982\u7387\u503c<em>p<\/em>\u548c<em>n<\/em>\u7684\u4e8c\u9879\u5f0f\u5206\u5e03\uff0c\u5373\u4e24\u4e2a\u5206\u5e03\u7684\u8bd5\u9a8c\u603b\u6570\u4e4b\u548c\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-dbc1a01b2d5654864d688cc46ac3a2e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim\\text{Bin}(n,p)\\qquad Y\\sim\\text{Bin}(m,p)\\\\[4ex]Z=X+Y \\sim\\text{Bin}(n+m,p)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"254\" style=\"vertical-align: 0px;\"><\/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-9fed580dc5cfbce19048124974a1fa41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[Z=z]=\\begin{pmatrix}n+m\\\\z\\end{pmatrix}p^z(1-p)^{n+m-z}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"289\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4f2f\u52aa\u5229\u5206\u5e03\u662f\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\uff0c\u5176\u4e2d<em>n=1<\/em> \uff0c\u5373\u4ec5\u8fdb\u884c\u4e00\u6b21\u5b9e\u9a8c\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-919200bea19252a9f6bee424ad48908d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(1,p) \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad X\\sim\\text{Bernoulli}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"397\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><em><sub>\u5982\u679c<\/sub><sub>X<\/sub><\/em> 1 <em>,<\/em> <em><sub>X<\/sub> <sub>2<\/sub> ,\u2026, X <sub>k<\/sub><\/em>\u662f\u72ec\u7acb\u7684\u968f\u673a\u53d8\u91cf\uff0c\u4f7f\u5f97<\/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-1bc264e1007f09c3701e65ae678115b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sum_{i=1}^k X_i\\sim \\text{Bin}\\left(\\sum_{i=1}^k n_i,p\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"188\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-distribucion-binomial\"><\/span>\u4e8c\u9879\u5f0f\u5206\u5e03\u8ba1\u7b97\u5668<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c06\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u53c2\u6570<em>p\u3001n<\/em>\u548c<em>x<\/em>\u7684\u503c\u8f93\u5165\u5230\u4e0b\u9762\u7684\u8ba1\u7b97\u5668\u4e2d\uff0c\u8ba1\u7b97\u6982\u7387\u3002\u60a8\u9700\u8981\u9009\u62e9\u8981\u8ba1\u7b97\u7684\u6982\u7387\uff0c\u5e76\u4f7f\u7528\u70b9\u4f5c\u4e3a\u5c0f\u6570\u5206\u9694\u7b26\u8f93\u5165\u6570\u5b57\uff0c\u4f8b\u5982 0.1667\u3002<\/p>\n<form action=\"\" method=\"post\">\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span>\u6bcf\u4e2a\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387<span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e67f693705a2e492d8981f0ed1387c3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p = \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span> <input name=\"prob\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce la probabilidad de \u00e9xito de cada experimento aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span>\u8fdb\u884c\u7684\u5b9e\u9a8c\u603b\u6570<span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-17b8c0c4e843e448cbe5846755391d66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n = \" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"29\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"n\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero total de experimentos realizados aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:5%\"> <span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span>\u6210\u529f\u5b9e\u9a8c\u6b21\u6570\uff1a <\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" checked=\"\" value=\"probigual\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-95a78799e4906daa08ea620a942c61bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X=\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p><input name=\"xigual\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcolaizquierda\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-305e8313d9decdf3d650c7f6898a8430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\leq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmenor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probcoladerecha\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a8500b9856a735bc31ea1a371fc0fe88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\geq\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"34\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xmayor\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"margin-bottom:14px; margin-left:10%\"><input name=\"tipoprobabilidad\" type=\"radio\" value=\"probentre\"><input name=\"xentre1\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4459b2c5c9a9dd4efd3c3c155cb80bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\leq X\\leq \" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"52\" style=\"vertical-align: -3px;\"><\/p>\n<p><input name=\"xentre2\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\"><\/div>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u8ba1\u7b97\u6982\u7387\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u4e8c\u9879\u5206\u5e03\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5b9a\u4e49\u3001\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u793a\u4f8b\u4ee5\u53ca\u6b64\u7c7b\u6982\u7387\u5206 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-234","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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