{"id":224,"date":"2023-08-04T00:09:06","date_gmt":"2023-08-04T00:09:06","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%ad%a3%e6%80%81%e6%a0%87%e5%87%86%e5%88%86%e5%b8%83\/"},"modified":"2023-08-04T00:09:06","modified_gmt":"2023-08-04T00:09:06","slug":"%e6%ad%a3%e6%80%81%e6%a0%87%e5%87%86%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%ad%a3%e6%80%81%e6%a0%87%e5%87%86%e5%88%86%e5%b8%83\/","title":{"rendered":"\u6807\u51c6\u6b63\u6001\u5206\u5e03"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4ec0\u4e48\u662f\u6807\u51c6\u6b63\u6001\u5206\u5e03\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u5c5e\u6027\u3001\u53ca\u5176\u7279\u5f81\u503c\u7684\u8868\u683c\uff0c\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-normal-estandar\"><\/span>\u4ec0\u4e48\u662f\u6807\u51c6\u6b63\u6001\u5206\u5e03\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6807\u51c6\u6b63\u6001\u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u5355\u4f4d\u6b63\u6001\u5206\u5e03<\/strong>\uff0c\u662f\u6b63\u6001\u5206\u5e03\u7684\u6700\u7b80\u5355\u60c5\u51b5\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u662f\u5747\u503c\u548c\u6807\u51c6\u5dee\u503c\u5206\u522b\u7b49\u4e8e0\u548c1\u7684\u6b63\u6001\u5206\u5e03\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u5b9a\u4e49\u4e3a N(0,1)\uff0c\u5176\u4e2d\u7b2c\u4e00\u4e2a\u53c2\u6570\u662f\u5206\u5e03\u7684\u5e73\u5747\u503c\uff0c\u7b2c\u4e8c\u4e2a\u53c2\u6570\u662f\u5176\u6807\u51c6\u5dee\uff08\u6216 SD\uff09\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-3ca26cb58ac445099df12aeebda27e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle N(0,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\begin{cases} \\mu=0\\\\[2ex]\\sigma=1\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u56fe\u5982\u4e0b\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-normale-standard.png\" alt=\"\u6807\u51c6\u6b63\u6001\u5206\u5e03\u56fe\" class=\"wp-image-4442\" width=\"601\" height=\"361\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-normal-estandar\"><\/span>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u5c06\u4efb\u4f55\u6b63\u6001\u5206\u5e03\u8f6c\u6362\u4e3a\u6807\u51c6\u6b63\u6001\u5206\u5e03\uff0c\u5fc5\u987b\u4ece\u5176\u6240\u6709\u503c\u4e2d\u51cf\u53bb\u6b63\u6001\u5206\u5e03\u7684\u5747\u503c\uff0c\u7136\u540e\u9664\u4ee5\u6b63\u6001\u5206\u5e03\u7684\u6807\u51c6\u5dee\u3002<\/p>\n<p>\u56e0\u6b64<strong>\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u516c\u5f0f<\/strong>\u5982\u4e0b\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\/formule-pour-la-distribution-normale-standard.png\" alt=\"\u6807\u51c6\u6b63\u6001\u5206\u5e03\u516c\u5f0f\" class=\"wp-image-4447\" width=\"328\" height=\"293\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u8fd9\u6837\uff0c\u65b0\u53d8\u91cf\u7684\u7b97\u672f\u5e73\u5747\u503c\u548c\u6807\u51c6\u5dee\u5c06\u5206\u522b\u4e3a0\u548c1\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u5f97\u5230\u4e86\u6807\u51c6\u6b63\u6001\u5206\u5e03\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u4e5f\u79f0\u4e3a<strong>\u5355\u53d8\u91cf\u5f52\u4e00\u5316<\/strong>\u6216<strong>\u5355\u53d8\u91cf\u5f52\u4e00\u5316<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-de-la-distribucion-normal-estandar\"><\/span>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\u662f\u5305\u542b\u89c2\u6d4b\u503c\u5c0f\u4e8e\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7ed9\u5b9a\u503c\u7684\u6982\u7387\u7684\u8868\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u7531\u4e8e\u6b63\u6001\u5206\u5e03\u7684\u51fd\u6570\u53d6\u51b3\u4e8e\u5176\u5747\u503c\u548c\u6807\u51c6\u5dee\uff0c\u56e0\u6b64\u6269\u5c55\u540e\u8fd8\u53ef\u4ee5\u4f7f\u7528\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\u6765\u786e\u5b9a\u4efb\u4f55\u6b63\u6001\u5206\u5e03\u7684\u6982\u7387\u3002\u4e3a\u6b64\uff0c\u5c06\u6b63\u6001\u5206\u5e03\u8f93\u5165\u6807\u51c6\u6b63\u6001\u5206\u5e03\uff0c\u7136\u540e\u6211\u4eec\u5728\u8868\u4e2d\u67e5\u770b\u4e0e\u5176\u5bf9\u5e94\u7684\u6982\u7387\u3002<\/p>\n<p>\u90a3\u4e48\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\u4e2d\u7684\u6570\u503c\u5982\u4e0b\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\/table-de-distribution-normale-probabilite-cumulative-inferieure.emf_.png\" alt=\"\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\" class=\"wp-image-2892\" width=\"655\" height=\"866\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-distribucion-normal-estandar\"><\/span>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u4e0b\u9762\u662f\u4e00\u4e2a\u5177\u4f53\u7684\u4f8b\u5b50\u6765\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\u3002<\/p>\n<ul>\n<li>\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u670d\u4ece\u5747\u503c 45\u3001\u6807\u51c6\u5dee 15 \u7684\u6b63\u6001\u5206\u5e03\uff0c\u83b7\u5f97\u5c0f\u4e8e\u6216\u7b49\u4e8e 58 \u7684\u503c\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/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-c1914d7535b3ca4b73d1fc39d0620bce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N(45,15)\\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P[X\\leq 58]= \\ \\color{orange}\\bm{?}\\color{black} \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"421\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u627e\u5230\u6b63\u6001\u5206\u5e03\u7684\u6982\u7387\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u5b83\u7684\u7279\u5f81\u8868\uff0c\u4f46\u8981\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u8fdb\u884c\u8f93\u5165\u8fc7\u7a0b\u4ee5\u83b7\u5f97\u6807\u51c6\u6b63\u6001\u5206\u5e03\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u6807\u51c6\u6b63\u6001\u5206\u5e03\u516c\u5f0f\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-495b5c96898d0da9f1849fc0ac42da40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{X-\\mu}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"87\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5\u6211\u4eec\u4ece\u6982\u7387\u503c\u4e2d\u51cf\u53bb\u5e73\u5747\u503c\uff0c\u7136\u540e\u9664\u4ee5\u6807\u51c6\u5dee<\/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-7c8c62115ea72f4d9471dee405859016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq 58]=P\\left[Z\\leq\\frac{58-45}{15}\\right]=P[Z\\leq 0,87]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"355\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u5bf9\u53d8\u91cf\u8fdb\u884c\u4e86\u6807\u51c6\u5316\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8f6c\u5230\u6807\u51c6\u6b63\u6001\u5206\u5e03\u6982\u7387\u8868\uff08\u89c1\u4e0a\u6587\uff09\u6765\u67e5\u770b 0.87 \u7684\u503c\u5bf9\u5e94\u7684\u6982\u7387\u662f\u591a\u5c11\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-96a9899f1286e9a38beb405c301a8520_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[Z\\leq 0,87]=0,8078\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u83b7\u5f97\u7b49\u4e8e\u6216\u5c0f\u4e8e 58 \u7684\u503c\u7684\u6982\u7387\u4e3a 80.78%\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-normal-estandar\"><\/span>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u7279\u5f81<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u6807\u51c6\u6b63\u6001\u5206\u5e03\u662f\u4ee5 0 \u4e3a\u4e2d\u5fc3\u7684\u5bf9\u79f0\u5206\u5e03\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u4e0e\u6b63\u6001\u5206\u5e03\u4e00\u6837\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u56fe\u662f\u949f\u5f62\u7684\uff0c\u5927\u90e8\u5206\u56fe\u5f62\u533a\u57df\u843d\u5728\u5e73\u5747\u503c\u9644\u8fd1\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u56e0\u6b64\uff0c\u6b63\u6001\u5206\u5e03\u7684\u5747\u503c\u3001\u4f17\u6570\u548c\u4e2d\u4f4d\u6570\u5177\u6709\u76f8\u540c\u7684\u503c\uff0c\u5747\u4e3a 0\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u6807\u51c6\u6b63\u6001\u5206\u5e03\u5728 z=0 \u5904\u6709\u6700\u5927\u503c\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u7c7b\u4f3c\u5730\uff0c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u6709\u4e24\u4e2a\u62d0\u70b9\uff0c\u5206\u522b\u4f4d\u4e8e z=-1 \u548c z=+1 \u5904\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\">\u6839\u636e\u7ecf\u9a8c\u6cd5\u5219\uff0c\u6211\u4eec\u77e5\u9053 68% \u7684\u503c\u843d\u5728 +1 \u548c -1 \u4e4b\u95f4\u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\uff0c95% \u7684\u503c\u843d\u5728 +2 \u548c -2 \u4e4b\u95f4\uff0c99.7% \u7684\u503c\u843d\u5728 + \u4e4b\u95f43\u548c-3\u3002<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4ec0\u4e48\u662f\u6807\u51c6\u6b63\u6001\u5206\u5e03\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\u5c5e\u6027\u3001\u53ca\u5176\u7279\u5f81\u503c\u7684\u8868\u683c\uff0c\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 \u4ec0 [&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-224","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u6807\u51c6\u6b63\u6001\u5206\u5e03<\/title>\n<meta name=\"description\" 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