{"id":389,"date":"2023-08-01T07:32:30","date_gmt":"2023-08-01T07:32:30","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%a4%a7%e6%95%b0%e5%ae%9a%e5%be%8b2\/"},"modified":"2023-08-01T07:32:30","modified_gmt":"2023-08-01T07:32:30","slug":"%e5%a4%a7%e6%95%b0%e5%ae%9a%e5%be%8b2","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%a4%a7%e6%95%b0%e5%ae%9a%e5%be%8b2\/","title":{"rendered":"\u5927\u6570\u5b9a\u5f8b"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u5927\u6570\u5b9a\u5f8b\u4ee5\u53ca\u5b83\u5728\u6982\u7387\u548c\u7edf\u8ba1\u4e2d\u7684\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u80fd\u591f\u770b\u5230\u5927\u6570\u5b9a\u5f8b\u5e94\u7528\u7684\u793a\u4f8b\uff0c\u6b64\u5916\uff0c\u8be5\u5b9a\u5f8b\u4e0e\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u4ec0\u4e48\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-ley-de-los-grandes-numeros\"><\/span>\u4ec0\u4e48\u662f\u5927\u6570\u5b9a\u5f8b\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6982\u7387\u8bba\u4e2d\uff0c<strong>\u5927\u6570\u5b9a\u5f8b<\/strong>\u662f\u63cf\u8ff0\u505a\u5927\u91cf\u6b21\u6570\u7684\u7ed3\u679c\u7684\u89c4\u5219\u3002\u66f4\u5177\u4f53\u5730\u8bf4\uff0c\u5927\u6570\u5b9a\u5f8b\u8868\u660e\uff0c\u4ece\u5927\u91cf\u8bd5\u9a8c\u4e2d\u83b7\u5f97\u7684\u7ed3\u679c\u7684\u5e73\u5747\u503c\u5c06\u63a5\u8fd1\u9884\u671f\u503c\u3002<\/p>\n<p>\u800c\u4e14\uff0c\u6839\u636e\u5927\u6570\u5b9a\u5f8b\uff0c\u6211\u4eec\u505a\u7684\u5b9e\u9a8c\u8d8a\u591a\uff0c\u7ed3\u679c\u5c31\u8d8a\u63a5\u8fd1\u9884\u671f\u503c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u629b\u786c\u5e01\u4e94\u6b21\uff0c\u6211\u4eec\u53ea\u80fd\u5f97\u5230\u4e00\u6b21\u6b63\u9762\uff0820%\uff09\u3002\u7136\u800c\uff0c\u5982\u679c\u5c06\u786c\u5e01\u629b\u63b7\u591a\u6b21\uff08\u629b\u63b7\u8d85\u8fc7 1000 \u6b21\uff09\uff0c\u5219\u51e0\u4e4e\u4e00\u534a\u7684\u7ed3\u679c\u5c06\u662f\u6b63\u9762\uff0850%\uff09\uff0c\u56e0\u4e3a\u8fd9\u662f\u5176\u9884\u671f\u503c\u3002\u8fd9\u662f\u5927\u6570\u5b9a\u5f8b\u7684\u4e00\u4e2a\u4f8b\u5b50\u3002<\/p>\n<p>\u5927\u6570\u5b9a\u5f8b\u7684\u8d77\u6e90\u53ef\u4ee5\u8ffd\u6eaf\u5230 16 \u4e16\u7eaa\u7684\u6770\u7f57\u62c9\u83ab\u00b7\u5361\u5c14\u8fbe\u8bfa (Gerolamo Cardano)\uff0c\u4f46\u5386\u53f2\u4e0a\u6709\u8bb8\u591a\u4f5c\u8005\u53c2\u4e0e\u4e86\u8fd9\u4e00\u7edf\u8ba1\u5b9a\u5f8b\u7684\u53d1\u5c55\uff1a\u4f2f\u52aa\u5229\u3001\u6cca\u677e\u3001\u5207\u6bd4\u96ea\u592b\u3001\u9a6c\u5c14\u53ef\u592b\u3001\u535a\u96f7\u5c14\u3001\u574e\u6cf0\u5229\u3001\u67ef\u5c14\u83ab\u54e5\u6d1b\u592b\u548c\u8f9b\u94a6\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>\u67e5\u770b\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6570\u5b66\u671f\u671b\u6216\u671f\u671b\u503c\/\">\u671f\u671b\u503c\u662f\u591a\u5c11\uff1f<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-ley-de-los-grandes-numeros\"><\/span>\u5927\u6570\u5b9a\u5f8b\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u770b\u5b8c\u5927\u6570\u5b9a\u5f8b\u7684\u5b9a\u4e49\u540e\uff0c\u6211\u4eec\u5c06\u770b\u4e00\u4e2a\u5177\u4f53\u7684\u4f8b\u5b50\u6765\u66f4\u597d\u5730\u7406\u89e3\u5b83\u7684\u542b\u4e49\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06\u5206\u6790\u901a\u8fc7\u63b7\u9ab0\u5b50\u53ef\u4ee5\u83b7\u5f97\u7684\u53ef\u80fd\u7ed3\u679c\u7684\u6982\u7387\u3002<\/p>\n<p>\u63b7\u9ab0\u5b50\u65f6\u6709\u516d\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff081\u30012\u30013\u30014\u30015 \u548c 6\uff09\uff0c\u56e0\u6b64\u6bcf\u4e2a\u57fa\u672c\u4e8b\u4ef6\u7684\u7406\u8bba\u6982\u7387\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-d8d6889656fa0d5faf24bf66b58d9e27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{1}{6}=0,167\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u6a21\u62df\u51e0\u6b21\u53d1\u5c04\uff0c\u5e76\u5c06\u7ed3\u679c\u8bb0\u5f55\u5728<a href=\"https:\/\/statorials.org\/cn\/\u9891\u7387\u8868\/\">\u9891\u7387\u8868<\/a>\u4e2d\uff0c\u4ee5\u68c0\u67e5\u662f\u5426\u9075\u5b88\u5927\u6570\u5b9a\u5f8b\u3002<\/p>\n<p>\u4e3a\u4e86\u8ba9\u60a8\u770b\u5230\u8fdb\u884c\u7684\u5b9e\u9a8c\u6570\u91cf\u7684\u91cd\u8981\u6027\uff0c\u6211\u4eec\u5c06\u9996\u5148\u6a21\u62df\u5341\u6b21\u53d1\u5c04\uff0c\u7136\u540e\u662f\u4e00\u767e\u6b21\uff0c\u6700\u540e\u662f\u4e00\u5343\u6b21\u3002\u56e0\u6b64\uff0c\u6a21\u62df 10 \u6b21\u968f\u673a\u63b7\u9ab0\u5b50\u5f97\u5230\u7684\u7ed3\u679c\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\/exemple-de-probabilite-de-frequence.png\" alt=\"\" class=\"wp-image-568\" width=\"502\" height=\"196\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u4ec5\u6a21\u62df\u5341\u6b21\u6295\u63b7\u6240\u83b7\u5f97\u7684\u9891\u7387\u6982\u7387\u4e0e\u7406\u8bba\u6982\u7387\u5e76\u4e0d\u76f8\u4f3c\u3002<\/p>\n<p>\u4f46\u968f\u7740\u6211\u4eec\u589e\u52a0\u5b9e\u9a8c\u6b21\u6570\uff0c\u8fd9\u4e24\u4e2a\u6307\u6807\u53d8\u5f97\u66f4\u52a0\u76f8\u4f3c\uff0c\u770b\u770b 100 \u6b21\u542f\u52a8\u7684\u6a21\u62df\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\/exemple-de-probabilite-frequentiste.png\" alt=\"\u5927\u6570\u5b9a\u5f8b\u7684\u4f8b\u5b50\" class=\"wp-image-570\" width=\"502\" height=\"192\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u73b0\u5728\uff0c\u4e3a\u9ab0\u5b50\u4e0a\u7684\u6bcf\u4e2a\u6570\u5b57\u8ba1\u7b97\u7684\u9891\u7387\u6982\u7387\u4e0e\u5176\u7406\u8bba\u6982\u7387\u66f4\u52a0\u76f8\u4f3c\uff0c\u4f46\u662f\uff0c\u6211\u4eec\u4ecd\u7136\u5f97\u5230\u975e\u5e38\u4e0d\u540c\u7684\u503c\u3002<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u6267\u884c\u76f8\u540c\u7684\u8fc7\u7a0b\uff0c\u4f46\u6a21\u62df 1000 \u6b21\u542f\u52a8\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\/exercice-probabilite-resolu-frequent.png\" alt=\"\u575a\u51b3\u8fd0\u7528\u5927\u6570\u6cd5\u5219\" class=\"wp-image-572\" width=\"503\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u6700\u540e\u4e00\u4e2a\u8868\u4e2d\u770b\u5230\u7684\uff0c\u73b0\u5728\u9891\u7387\u6982\u7387\u7684\u503c\u975e\u5e38\u63a5\u8fd1\u7406\u8bba\u6982\u7387\u3002<\/p>\n<p>\u603b\u4e4b\uff0c\u6211\u4eec\u8fdb\u884c\u7684\u5b9e\u9a8c\u6570\u91cf\u8d8a\u591a\uff0c\u4e8b\u4ef6\u7684\u9891\u7387\u6982\u7387\u503c\u5c31\u8d8a\u63a5\u8fd1\u5176\u7406\u8bba\u53d1\u751f\u6982\u7387\u3002\u56e0\u6b64\uff0c<strong>\u5927\u6570\u5b9a\u5f8b<\/strong>\u53d7\u5230\u5c0a\u91cd\uff0c\u56e0\u4e3a\u6211\u4eec\u6267\u884c\u7684\u8fed\u4ee3\u6b21\u6570\u8d8a\u591a\uff0c\u5b9e\u9a8c\u503c\u4e0e\u7406\u8bba\u503c\u5c31\u8d8a\u76f8\u4f3c\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\/\u9891\u7387\u6982\u7387-1\/\">\u9891\u7387\u6982\u7387<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"limitacion-de-la-ley-de-los-grandes-numeros\"><\/span>\u5927\u6570\u5b9a\u5f8b\u7684\u9650\u5236<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5927\u6570\u5b9a\u5f8b\u5728\u7edd\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u90fd\u662f\u6709\u6548\u7684\uff0c\u4f46\u662f\uff0c\u67d0\u4e9b\u7c7b\u578b\u7684\u6982\u7387\u5206\u5e03\u4e0d\u6ee1\u8db3\u8be5\u7edf\u8ba1\u5b9a\u7406\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u67ef\u897f\u5206\u5e03\u6216\u5e15\u7d2f\u6258\u5206\u5e03\uff08\u03b1&lt;1\uff09\u4e0d\u4f1a\u968f\u7740\u8bd5\u9a8c\u6b21\u6570\u7684\u589e\u52a0\u800c\u6536\u655b\u3002\u8fd9\u662f\u7531\u4e8e\u5206\u5e03\u7684\u5c3e\u90e8\u5f88\u5927\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4eec\u6ca1\u6709\u671f\u671b\u503c\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6709\u4e9b\u5b9e\u9a8c\u56e0\u5176\u81ea\u8eab\u7279\u6027\u800c\u5b58\u5728\u504f\u5dee\uff0c\u4f7f\u7814\u7a76\u8005\u51fa\u4e8e\u7406\u6027\u3001\u5fc3\u7406\u3001\u7ecf\u6d4e\u7b49\u539f\u56e0\u503e\u5411\u4e8e\uff08\u6709\u610f\u6216\u65e0\u610f\uff09\u4fee\u6539\u7ed3\u679c\u3002\u539f\u56e0\u3002\u5728\u8fd9\u4e9b\u60c5\u51b5\u4e0b\uff0c\u5927\u6570\u5b9a\u5f8b\u65e0\u52a9\u4e8e\u89e3\u51b3\u504f\u5dee\uff0c\u4f46\u65e0\u8bba\u589e\u52a0\u8bd5\u9a8c\u6b21\u6570\uff0c\u504f\u5dee\u90fd\u4f1a\u6301\u7eed\u5b58\u5728\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\/\u6982\u7387\u5206\u5e03\u7684\u7c7b\u578b\/\">\u6982\u7387\u5206\u5e03\u7684\u7c7b\u578b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ley-de-los-grandes-numeros-y-teorema-central-del-limite\"><\/span>\u5927\u6570\u5b9a\u5f8b\u548c\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5927\u6570\u5b9a\u5f8b\u548c\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\u662f\u6982\u7387\u8bba\u548c\u7edf\u8ba1\u5b66\u7684\u4e24\u4e2a\u5bc6\u5207\u76f8\u5173\u7684\u57fa\u672c\u89c4\u5219\u3002\u6240\u4ee5\u5728\u672c\u8282\u4e2d\u6211\u4eec\u5c06\u4e86\u89e3\u5b83\u4eec\u7684\u5173\u7cfb\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u4eec\u7684\u533a\u522b\u662f\u4ec0\u4e48\u3002<\/p>\n<p>\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\uff0c\u4e5f\u79f0\u4e3a\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\uff0c\u8868\u793a\u968f\u7740\u6837\u672c\u91cf\u7684\u589e\u52a0\uff0c\u6837\u672c\u5747\u503c\u7684\u5206\u5e03\u63a5\u8fd1\u6b63\u6001\u5206\u5e03\uff0c\u800c\u4e0e\u603b\u4f53\u7684\u6982\u7387\u5206\u5e03\u65e0\u5173\u3002<\/p>\n<p><strong>\u5927\u6570\u5b9a\u5f8b\u548c\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\u7684\u533a\u522b\u5728\u4e8e<\/strong>\uff0c\u5927\u6570\u5b9a\u5f8b\u8bf4\u7684\u662f\u5927\u91cf\u8bd5\u9a8c\u7684\u5e73\u5747\u503c\u63a5\u8fd1\u5176\u671f\u671b\u503c\uff0c\u800c\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\u8bf4\u7684\u662f\u8bb8\u591a\u6b21\u8bd5\u9a8c\u7684\u5e73\u5747\u503c\u6837\u672c\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\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\/\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\/\">\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u5927\u6570\u5b9a\u5f8b\u4ee5\u53ca\u5b83\u5728\u6982\u7387\u548c\u7edf\u8ba1\u4e2d\u7684\u7528\u9014\u3002\u60a8\u8fd8\u5c06\u80fd\u591f\u770b\u5230\u5927\u6570\u5b9a\u5f8b\u5e94\u7528\u7684\u793a\u4f8b\uff0c\u6b64\u5916\uff0c\u8be5\u5b9a\u5f8b\u4e0e\u4e2d [&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-389","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\u5927\u6570\u5b9a\u5f8b<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u4ec0\u4e48\u662f\u5927\u6570\u5b9a\u5f8b\u3001\u5b83\u7684\u7528\u9014\u3001\u5df2\u89e3\u51b3\u7684\u793a\u4f8b\u4ee5\u53ca\u8be5\u5b9a\u5f8b\u4e0e\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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