{"id":40,"date":"2023-08-06T06:29:55","date_gmt":"2023-08-06T06:29:55","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e7%b5%8c%e9%a8%93%e7%9a%84%e7%a2%ba%e7%8e%87\/"},"modified":"2023-08-06T06:29:55","modified_gmt":"2023-08-06T06:29:55","slug":"%e7%b5%8c%e9%a8%93%e7%9a%84%e7%a2%ba%e7%8e%87","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e7%b5%8c%e9%a8%93%e7%9a%84%e7%a2%ba%e7%8e%87\/","title":{"rendered":"\u7d4c\u9a13\u7684\u78ba\u7387"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d4c\u9a13\u7684\u78ba\u7387\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u7d4c\u9a13\u7684\u78ba\u7387\u3068\u306f\u4f55\u304b\u3001\u305d\u306e\u516c\u5f0f\u306f\u4f55\u306a\u306e\u304b\u3001\u4f8b\u3001\u7d4c\u9a13\u7684\u78ba\u7387\u3068\u7406\u8ad6\u7684\u78ba\u7387\u306e\u9055\u3044\u306f\u4f55\u304b\u3092\u5b66\u3073\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-probabilidad-empirica\"><\/span>\u7d4c\u9a13\u7684\u78ba\u7387\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7d4c\u9a13\u7684\u78ba\u7387\u306f<\/strong>\u3001\u7d4c\u9a13\u7684\u5b9f\u9a13\u307e\u305f\u306f\u4e8b\u5b9f\u306b\u57fa\u3065\u3044\u3066\u3001\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u3092\u793a\u3059\u7d71\u8a08\u7684\u5c3a\u5ea6\u3067\u3059\u3002<\/p>\n<p>\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u7d4c\u9a13\u7684\u78ba\u7387\u306f\u5b9f\u9a13\u306e\u7d50\u679c\u304b\u3089\u8a08\u7b97\u3055\u308c\u3001\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u304c\u3069\u306e\u7a0b\u5ea6\u3067\u3042\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>\u5b9f\u9a13\u3092\u7e70\u308a\u8fd4\u3059\u307b\u3069\u3001\u5f97\u3089\u308c\u308b\u7d4c\u9a13\u7684\u78ba\u7387\u306f\u3088\u308a\u6b63\u78ba\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u7a2e\u306e\u78ba\u7387\u306f\u901a\u5e38\u3001\u6570\u5343\u56de\u306e\u53cd\u5fa9\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3057\u3001\u975e\u5e38\u306b\u77ed\u6642\u9593\u3067\u5206\u6790\u3067\u304d\u308b\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc \u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f7f\u7528\u3057\u3066\u6c7a\u5b9a\u3055\u308c\u308b\u306e\u306f\u3053\u306e\u305f\u3081\u3067\u3059\u3002<\/p>\n<p>\u7d4c\u9a13\u7684\u78ba\u7387\u306f 0 \u304b\u3089 1 \u307e\u3067\u306e\u6570\u5024\u3067\u3059\u3002\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u307b\u3069\u3001\u7d4c\u9a13\u7684\u78ba\u7387\u306f\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002\u9006\u306b\u3001\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u304c\u4f4e\u3044\u307b\u3069\u3001\u7d4c\u9a13\u7684\u78ba\u7387\u306f\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-probabilidad-empirica\"><\/span>\u7d4c\u9a13\u7684\u306a\u78ba\u7387\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7d4c\u9a13\u7684\u78ba\u7387\u306e\u516c\u5f0f\u306f<\/strong>\u3001\u5b9f\u9a13\u4e2d\u306b\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3057\u305f\u56de\u6570\u3092\u3001\u5b9f\u9a13\u304c\u5b9f\u884c\u3055\u308c\u305f\u5408\u8a08\u56de\u6570\u3067\u5272\u3063\u305f\u3082\u306e\u3067\u3059\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-e2f1b5f7feb72051fa7a546d93d6b829_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{\\text{veces que ocurri\\'o el evento}}{\\text{n\\'umero total de experimentos}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"272\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6728\u3092 10 \u56de\u898b\u3066\u3001\u305d\u306e\u6728\u306b\u3044\u308b\u9ce5\u3092 7 \u56de\u898b\u305f\u5834\u5408\u3001\u6728\u3092\u898b\u3066\u3044\u308b\u3068\u304d\u306b\u9ce5\u3092\u898b\u308b\u7d4c\u9a13\u7684\u78ba\u7387\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-e8b443637fe47627b5b4d53ba6ecc93d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{7}{10}=0,7\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-probabilidad-empirica\"><\/span>\u7d4c\u9a13\u7684\u78ba\u7387\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d4c\u9a13\u7684\u78ba\u7387\u306e\u5b9a\u7fa9\u3092\u8003\u616e\u3057\u3066\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u78ba\u7387\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u7d4c\u9a13\u7684\u78ba\u7387\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u3068\u3044\u3046\u30e9\u30f3\u30c0\u30e0\u306a\u5b9f\u9a13\u3092\u69cb\u6210\u3059\u308b\u8981\u7d20\u30a4\u30d9\u30f3\u30c8\u306e\u7d4c\u9a13\u7684\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u5f97\u3089\u308c\u305f\u5b9f\u9a13\u7d50\u679c\u3068\u7406\u8ad6\u7684\u7d50\u679c\u3092\u6bd4\u8f03\u3059\u308b\u7406\u8ad6\u7684\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u3068\u304d\u306b\u8003\u3048\u3089\u308c\u308b\u7d50\u679c\u306f 6 \u3064 (1\u30012\u30013\u30014\u30015\u30016) \u3042\u308b\u305f\u3081\u3001\u5404\u8981\u7d20\u30a4\u30d9\u30f3\u30c8\u306e\u7406\u8ad6\u4e0a\u306e\u78ba\u7387\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-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>\u3053\u306e\u6f14\u7fd2\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u3053\u3068\u3092\u6570\u56de\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3057\u3001\u7d50\u679c\u3092\u5206\u5272\u8868\u306b\u8a18\u9332\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u306f\u3001\u305f\u3068\u3048\u3070 Excel \u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u5b9f\u884c\u3055\u308c\u308b\u5b9f\u9a13\u306e\u6570\u306e\u91cd\u8981\u6027\u304c\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u6700\u521d\u306b 10 \u56de\u306e\u6253\u3061\u4e0a\u3052\u3001\u6b21\u306b 100 \u56de\u3001\u6700\u5f8c\u306b 1,000 \u56de\u306e\u6253\u3061\u4e0a\u3052\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b5\u30a4\u30b3\u30ed\u306e\u6700\u521d\u306e 10 \u56de\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u6295\u3052\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u5f97\u3089\u308c\u305f\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-de-probabilite-empirique.png\" alt=\"\u7d4c\u9a13\u7684\u78ba\u7387\u5206\u5e03\" class=\"wp-image-760\" width=\"278\" height=\"183\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u308f\u305a\u304b 10 \u56de\u306e\u6295\u7403\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3057\u3066\u5f97\u3089\u308c\u305f\u7d4c\u9a13\u7684\u78ba\u7387\u306f\u3001\u7406\u8ad6\u7684\u78ba\u7387 (0.167) \u306b\u8fd1\u304f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3057\u304b\u3057\u3001\u5b9f\u9a13\u306e\u6570\u304c\u5897\u3048\u308b\u306b\u3064\u308c\u3066\u3001\u3053\u308c\u3089 2 \u3064\u306e\u6307\u6a19\u306f\u3088\u308a\u4f3c\u3066\u304d\u307e\u3059\u3002100 \u56de\u306e\u6253\u3061\u4e0a\u3052\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u898b\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/caracteristiques-de-la-probabilite-empirique.png\" alt=\"\u7d4c\u9a13\u7684\u78ba\u7387\u306e\u7279\u5fb4\" class=\"wp-image-761\" width=\"278\" height=\"182\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u30b5\u30a4\u30b3\u30ed\u306e\u5404\u6570\u5b57\u306b\u5bfe\u3057\u3066\u8a08\u7b97\u3055\u308c\u305f\u7d4c\u9a13\u7684\u78ba\u7387\u306f\u7406\u8ad6\u7684\u78ba\u7387\u306b\u3088\u308a\u8fd1\u3065\u304d\u307e\u3057\u305f\u304c\u3001\u305d\u308c\u3067\u3082\u304b\u306a\u308a\u7570\u306a\u308b\u5024\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u540c\u3058\u624b\u9806\u3092\u5b9f\u884c\u3057\u307e\u3059\u304c\u30011000 \u56de\u306e\u8d77\u52d5\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30c8\u3057\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemples-de-probabilite-empirique.png\" alt=\"\u7d4c\u9a13\u7684\u78ba\u7387\u306e\u4f8b\" class=\"wp-image-764\" width=\"278\" height=\"183\" srcset=\"\" sizes=\"auto, 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