{"id":5362,"date":"2022-03-16T01:55:42","date_gmt":"2022-03-15T16:55:42","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=5362"},"modified":"2022-06-04T22:59:09","modified_gmt":"2022-06-04T13:59:09","slug":"random-variables","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/random-variables.html","title":{"rendered":"\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3068\u72ec\u7acb\u6027\uff1a\u548c\u3084\u7a4d\u306b\u3088\u308b\u671f\u5f85\u5024\u30fb\u5206\u6563\u30fb\u6a19\u6e96\u504f\u5dee\u306e\u5909\u5316"},"content":{"rendered":"\n<p>\u78ba\u7387\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u78ba\u7387\u5909\u6570\u306b\u3064\u3044\u3066\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u4e00\u3064\u306e\u4e8b\u8c61\u306b\u3064\u3044\u3066\u3001\u4e88\u60f3\u53ef\u80fd\u306a\u5f97\u3089\u308c\u308b\u5024\u3084\u3070\u3089\u3064\u304d\u3092\u6c42\u3081\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u305f\u3060\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u30012\u3064\u306e\u4e8b\u8c61\u3092\u8db3\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u30012\u3064\u4ee5\u4e0a\u306e\u30c7\u30fc\u30bf\u3092\u4e00\u3064\u306b\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u304b\u3051\u7b97\u306b\u3088\u3063\u3066\u3001\u30c7\u30fc\u30bf\u3092\u5909\u3048\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u548c\u3084\u7a4d\u306b\u3088\u3063\u3066\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3092\u3059\u308b\u306e\u3067\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u30c7\u30fc\u30bf\u3092\u5909\u63db\u3059\u308b\u3068\u304d\u3001\u305d\u308c\u305e\u308c\u306e\u30c7\u30fc\u30bf\u304c\u72ec\u7acb\u304b\u3069\u3046\u304b\u3092\u78ba\u304b\u3081\u307e\u3057\u3087\u3046\u3002\u72ec\u7acb\u3067\u3042\u308c\u3070\u3001\u30c7\u30fc\u30bf\u306e\u8db3\u3057\u7b97\u3084\u639b\u3051\u7b97\u306b\u3088\u3063\u3066\u65b0\u305f\u306a\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u306e\u8a08\u7b97\u304c\u5bb9\u6613\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u7d71\u8a08\u5b66\u3067\u306f\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u306e\u8a08\u7b97\u3092\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u30012\u3064\u306e\u30c7\u30fc\u30bf\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\u304d\u306b\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u78ba\u7387\u5909\u6570\u306e\u671f\u5f85\u5024\u30fb\u5206\u6563\u30fb\u6a19\u6e96\u504f\u5dee\u306b\u6570\u5b57\u3092\u52a0\u3048\u308b<\/h2>\n<p>\u78ba\u7387\u5909\u6570\u306e\u671f\u5f85\u5024\\(E(X)\\)\u3068\u306f\u3001\u4e00\u3064\u306e\u30c7\u30fc\u30bf\u306b\u95a2\u3059\u308b\u5e73\u5747\u5024\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u307e\u305f\u4e00\u3064\u306e\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066\u3001\u3070\u3089\u3064\u304d\u3092\u8868\u3059\u306e\u304c\u5206\u6563\u3068\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3092\u5b66\u3076\u524d\u306b\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u4f8b\u306b\u3057\u3066\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u308b\u3068\u304d\u3001\u51fa\u308b\u76ee\u3068\u3057\u3066\u306f1\uff5e6\u306e6\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/sfyd3.jpg\" alt=\"\" width=\"260\" height=\"170\" class=\"aligncenter size-full wp-image-5328\" \/><\/p>\n<p>\u307e\u305f\u3001\u305d\u308c\u305e\u308c\u306e\u6570\u5b57\u306b\u3064\u3044\u3066\u51fa\u308b\u78ba\u7387\u306f\u3059\u3079\u3066\\(\\displaystyle\\frac{1}{6}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u78ba\u7387\u5206\u5e03\u3088\u308a\u3001\u671f\u5f85\u5024\\(E(X)\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyhg3.jpg\" alt=\"\" width=\"600\" height=\"229\" class=\"aligncenter size-full wp-image-5365\" \/><\/p>\n<p>\u4e00\u56de\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u308b\u5834\u5408\u30013.5\\(\\left(\\displaystyle\\frac{7}{3}\\right)\\)\u3092\u5f97\u3089\u308c\u308b\u3053\u3068\u3092\u671f\u5f85\u3067\u304d\u307e\u3059\u3002\u3082\u3061\u308d\u3093\u30b5\u30a4\u30b3\u30ed\u306b3.5\u306f\u306a\u3044\u3082\u306e\u306e\u3001\u4f55\u56de\u3082\u6295\u3052\u3066\u5e73\u5747\u5316\u3059\u308b\u30683.5\u306b\u306a\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u3059\u3002\u671f\u5f85\u5024\u3068\u3044\u3046\u306e\u306f\u3001\u5e73\u5747\u5024\u3067\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u8a73\u7d30\u306a\u8aac\u660e\u306f\u7701\u304d\u307e\u3059\u304c\u3001\u671f\u5f85\u5024\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u5206\u6563\\(V(X)\\)\u3068\u6a19\u6e96\u504f\u5dee\\(\u03c3(X)\\)\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyhg2.jpg\" alt=\"\" width=\"600\" height=\"285\" class=\"aligncenter size-full wp-image-5364\" \/><\/p>\n<p>\u5206\u6563\\(V(X)\\)\u3068\u6a19\u6e96\u504f\u5dee\\(\u03c3(X)\\)\u306f\u3070\u3089\u3064\u304d\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u3061\u306a\u307f\u306b\u3001\\(\\displaystyle\\frac{\\sqrt{105}}{6}\u22521.7\\)\u3067\u3059\u3002\u3070\u3089\u3064\u304d\u3092\u5f97\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u3069\u308c\u3060\u3051\u671f\u5f85\u5024\uff08\u5e73\u5747\u5024\uff09\u304b\u3089\u305a\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u306e\u304b\u628a\u63e1\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3>\u548c\u3084\u7a4d\u306b\u3088\u308b\u671f\u5f85\u5024\u3001\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u306e\u5909\u5316<\/h3>\n<p>\u3053\u3046\u3057\u305f\u30c7\u30fc\u30bf\u306b\u5bfe\u3057\u3066\u3001\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3067\u306f\u5024\u3092\u52a0\u3048\u307e\u3059\u3002\u30c7\u30fc\u30bf\u306e\u5f62\u3092\u5909\u3048\u305f\u308a\u3001\u307b\u304b\u306e\u30c7\u30fc\u30bf\u3092\u52a0\u3048\u305f\u308a\u3059\u308b\u3053\u3068\u304c\u3042\u308b\u305f\u3081\u3001\u8db3\u3057\u7b97\u3084\u304b\u3051\u7b97\u306b\u3088\u3063\u3066\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n<p>\u5148\u306b\u7d50\u8ad6\u3092\u8ff0\u3079\u308b\u3068\u3001<span style=\"color: #ff0000;\">\u8db3\u3057\u7b97\u3084\u304b\u3051\u7b97\u306b\u3088\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5316\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyhg4.jpg\" alt=\"\" width=\"600\" height=\"160\" class=\"aligncenter size-full wp-image-5366\" \/><\/p>\n<p>\u306a\u305c\u3001\u3053\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u7406\u7531\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u7406\u7531\u3092\u5b66\u3079\u3070\u3001\u516c\u5f0f\u3092\u6697\u8a18\u3057\u306a\u304f\u3066\u3082\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u8db3\u3057\u7b97\uff08\u548c\uff09\u306b\u3088\u308b\u78ba\u7387\u5909\u6570\u306e\u5909\u5316<\/h3>\n<p>\u307e\u305a\u3001\u8db3\u3057\u7b97\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u671f\u5f85\u5024\u3068\u3044\u3046\u306e\u306f\u524d\u8ff0\u306e\u901a\u308a\u5e73\u5747\u5024\u3068\u610f\u5473\u304c\u540c\u3058\u3067\u3059\u3002\u305d\u306e\u305f\u3081<span style=\"color: #0000ff;\">\u3059\u3079\u3066\u306e\u78ba\u7387\u5909\u6570\u306b\u5bfe\u3057\u3066\u540c\u3058\u5024\u3092\u8db3\u3059\u5834\u5408\u3001\u305d\u308c\u306b\u5fdc\u3058\u3066\u671f\u5f85\u5024\uff08\u5e73\u5747\u5024\uff09\u306f\u5897\u52a0\u3057\u307e\u3059\u3002<\/span><\/p>\n<p>\u4f8b\u3048\u3070\u30b5\u30a4\u30b3\u30ed\u306e\u51fa\u308b\u76ee\u306e\u671f\u5f85\u5024\u306f\u5148\u307b\u3069\u8a08\u7b97\u3057\u305f\u901a\u308a\\(\\displaystyle\\frac{7}{2}=3.5\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3059\u3079\u3066\u306e\u78ba\u7387\u5909\u6570\u306b2\u3092\u52a0\u3048\u308b\u5834\u5408\u3001\u65b0\u305f\u306a\u671f\u5f85\u5024\uff08\u65b0\u305f\u306a\u5e73\u5747\u5024\uff09\u306f5.5\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u304c\u7b49\u3057\u304f\\(+2\\)\u306b\u306a\u308b\u305f\u3081\u3001\u5f53\u7136\u306a\u304c\u3089\u671f\u5f85\u5024\uff08\u5e73\u5747\u5024\uff09\u30822\u5897\u3048\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/iyhg5.jpg\" alt=\"\" width=\"600\" height=\"320\" class=\"aligncenter size-full wp-image-5367\" \/><\/p>\n<p>\u4e00\u65b9\u3067\u5206\u6563\u3068\u6a19\u6e96\u504f\u5dee\u306f\u5909\u308f\u308a\u307e\u305b\u3093\u3002\u7406\u7531\u3068\u3057\u3066\u306f\u3001\u3070\u3089\u3064\u304d\u306f\u5909\u5316\u3057\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u5206\u6563\u3068\u6a19\u6e96\u504f\u5dee\u306f\u3070\u3089\u3064\u304d\u3092\u8868\u3057\u3066\u304a\u308a\u3001\u300c\u671f\u5f85\u5024\uff08\u5e73\u5747\u5024\uff09\u304b\u3089\u3069\u308c\u3060\u3051\u30ba\u30ec\u3066\u3044\u308b\u306e\u304b\u300d\u3092\u610f\u5473\u3057\u307e\u3059\u3002<span style=\"color: #0000ff;\">\u78ba\u7387\u5909\u6570\u306b\u5bfe\u3057\u3066\u540c\u3058\u6570\u3092\u8db3\u3059\u3053\u3068\u306b\u306a\u308b\u305f\u3081\u3001\u671f\u5f85\u5024\u306f\u5909\u5316\u3059\u308b\u3082\u306e\u306e\u3001\u671f\u5f85\u5024\u304b\u3089\u306e\u30ba\u30ec\u306f\u540c\u3058\u3067\u3059\u3002<\/span>\u3053\u308c\u304c\u3001\u78ba\u7387\u5909\u6570\u306e\u548c\u3067\u5206\u6563\u3084\u6a19\u6e96\u504f\u5dee\u304c\u5909\u5316\u3057\u306a\u3044\u7406\u7531\u3067\u3059\u3002<\/p>\n<h3>\u304b\u3051\u7b97\uff08\u7a4d\uff09\u306b\u3088\u308b\u78ba\u7387\u5909\u6570\u306e\u5909\u5316<\/h3>\n<p>\u6b21\u306b\u304b\u3051\u7b97\u306b\u3088\u3063\u3066\u78ba\u7387\u5909\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u304b\u3051\u7b97\u3092\u3059\u308b\u5834\u5408\u3001\u78ba\u7387\u5909\u6570\u306f\u305d\u306e\u5206\u3060\u3051\u5927\u304d\u304f\u79fb\u52d5\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u30b5\u30a4\u30b3\u30ed\u306e\u78ba\u7387\u5909\u6570\u306b\u5bfe\u3057\u30662\u3092\u304b\u3051\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/tue9.jpg\" alt=\"\" width=\"500\" height=\"396\" class=\"aligncenter size-full wp-image-5424\" \/><\/p>\n<p><span style=\"color: #ff0000;\">\u3059\u3079\u3066\u306e\u5024\u306b\u3064\u3044\u30662\u500d\u3059\u308b\u305f\u3081\u3001\u671f\u5f85\u5024\uff08\u5e73\u5747\u5024\uff09\u30822\u500d\u306b\u306a\u308a\u307e\u3059\u3002<\/span>\u3053\u308c\u304c\u3001\u300c\u304b\u3051\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u78ba\u7387\u5909\u6570\u306e\u671f\u5f85\u5024\u3082\u304b\u3051\u7b97\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u308b\u7406\u7531\u300d\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u304b\u3051\u7b97\u3092\u3059\u308b\u5834\u5408\u3001\u3070\u3089\u3064\u304d\u304c\u5909\u52d5\u3057\u307e\u3059\u3002\u5206\u6563\u306e\u8a08\u7b97\u3067\u306f\u3001\u300c\u5e73\u5747\u5024\u3068\u306e\u5dee\u300d\u3092\u4e8c\u4e57\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u304b\u3051\u7b97\u3092\u3059\u308b\u5834\u5408\u3001\u5206\u6563\u306f\u4e8c\u4e57\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u5206\u6563\u306e\u5e73\u65b9\u6839\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u4e8c\u4e57\u3057\u305f\u5f8c\u306b\u5e73\u65b9\u6839\u3092\u5229\u7528\u3059\u308b\u305f\u3081\u3001\u5fc5\u305a\u6b63\u306e\u5024\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u78ba\u7387\u5909\u6570\u3092\\(a\\)\u500d\u3059\u308b\u5834\u5408\u3001\u6a19\u6e96\u504f\u5dee\u306f\\(|a|\\)\u500d\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3092\u884c\u3046<\/h3>\n<p>\u5148\u307b\u3069\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u4e00\u56de\u6295\u3052\u308b\u3053\u3068\u306b\u3088\u308b\u671f\u5f85\u5024\\(E(X)\\)\u306f3.5\u3001\u5206\u6563\\(V(X)\\)\u306f\\(\\displaystyle\\frac{35}{12}\\)\u3001\u6a19\u6e96\u504f\u5dee\\(\u03c3(X)\\)\u306f\\(\\displaystyle\\frac{\\sqrt{105}}{6}\u22521.7\\)\u3068\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u78ba\u7387\u5909\u6570\\(X\\)\u306b\u5bfe\u3057\u3066\u3001\\(Z=2X+3\\)\u3067\u8868\u3055\u308c\u308b\u78ba\u7387\u5909\u6570\\(Z\\)\u306e\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p><strong>\u30fb\u671f\u5f85\u5024\\(E(Z)\\)<\/strong><\/p>\n<p>\\(Z=2X+3\\)\u3067\u3042\u308b\u305f\u3081\u3001\u671f\u5f85\u5024\u30922\u500d\u3057\u305f\u3042\u3068\u30013\u3092\u8db3\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(E(Z)=2\u00d73.5+3=10\\)<\/p>\n<p><strong>\u30fb\u5206\u6563\\(V(Z)\\)<\/strong><\/p>\n<p>\u304b\u3051\u7b97\u306b\u5bfe\u3057\u3066\u4e8c\u4e57\u3059\u308c\u3070\u3044\u3044\u305f\u3081\u3001\u5206\u6563\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(V(Z)=2^2\u00d7\\displaystyle\\frac{35}{12}=\\displaystyle\\frac{35}{3}\\)<\/p>\n<p><strong>\u30fb\u6a19\u6e96\u504f\u5dee\\(\u03c3(Z)\\)<\/strong><\/p>\n<p>\u7d76\u5bfe\u5024\u306e\u304b\u3051\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u305f\u3081\u3001\u6a19\u6e96\u504f\u5dee\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\u03c3(Z)=2\u00d7\\displaystyle\\frac{\\sqrt{105}}{6}=\\displaystyle\\frac{\\sqrt{105}}{3}\\)<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u8db3\u3057\u7b97\u3068\u304b\u3051\u7b97\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3092\u3059\u308b\u3068\u304d\u306e\u671f\u5f85\u5024\u3084\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u78ba\u7387\u5909\u6570\u306e\u72ec\u7acb\u3068\u5f93\u5c5e\u306e\u610f\u5473<\/h2>\n<p>\u3053\u3053\u307e\u3067\u306e\u5185\u5bb9\u3092\u7406\u89e3\u3057\u305f\u5f8c\u3001\u78ba\u7387\u5909\u6570\u306e\u72ec\u7acb\u3068\u5f93\u5c5e\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u78ba\u7387\u5909\u6570\u306e\u5909\u63db\u3067\u306f\u3001\u8db3\u3057\u7b97\u3084\u304b\u3051\u7b97\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5024\u306e\u5909\u5316\u3092\u77e5\u308b\u3053\u3068\u3060\u3051\u3067\u306a\u304f\u30012\u3064\u306e\u8981\u7d20\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u3082\u91cd\u8981\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>2\u3064\u306e\u8981\u7d20\uff08\u78ba\u7387\u5909\u6570\uff09\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u305f\u3081\u306b\u306f\u30012\u3064\u306e\u8981\u7d20\u304c\u72ec\u7acb\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u4e8b\u524d\u306b\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3061\u306a\u307f\u306b2\u3064\u306e\u8981\u7d20\u306b\u95a2\u4fc2\u6027\u304c\u306a\u3044\u5834\u5408\u3001\u5f93\u5c5e\u95a2\u4fc2\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u72ec\u7acb\u3068\u5f93\u5c5e\u3092\u898b\u5206\u3051\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u72ec\u7acb\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3068\u304d\u3001\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u3092\u6e80\u305f\u3059\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(P(A\u2229B)=P(A)\u00d7P(B)\\)<\/li>\n<\/ul>\n<p><span style=\"color: #0000ff;\">\u3053\u308c\u3092\u6e80\u305f\u3059\u5834\u5408\u30012\u3064\u306e\u4e8b\u8c61\u306f\u72ec\u7acb\u3067\u3059\u3002<\/span>\u4e00\u65b9\u3067\u3053\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3055\u306a\u3044\u5834\u5408\u30012\u3064\u306e\u4e8b\u8c61\u306f\u5f93\u5c5e\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u4e8b\u8c61\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u4e8b\u8c61A\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<li>\u4e8b\u8c61B\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30662\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>\u4e8b\u8c61A\u306b\u3064\u3044\u3066\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387\u306f\\(P(A)=\\displaystyle\\frac{2}{3}\\)\u3067\u3059\u3002\u4e8b\u8c61B\u306b\u3064\u3044\u3066\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30662\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\u306f\\(P(B)=\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u300c\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308a\u3001\u304b\u30642\u306e\u500d\u6570\u3068\u306a\u308b\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u300d\u306f4\u30686\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u78ba\u7387\\(P(A\u2229B)\\)\u306f\\(\\displaystyle\\frac{1}{3}\\)\u3067\u3059\u3002\\(P(A\u2229B)=P(A)\u00d7P(B)\\)\u304c\u6210\u308a\u7acb\u3064\u305f\u3081\u3001\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u306f\u72ec\u7acb\u3067\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u4ee5\u4e0b\u306e\u5834\u5408\u306f\u3069\u3046\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u4e8b\u8c61A\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<li>\u4e8b\u8c61B\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>\u4e8b\u8c61A\u306b\u3064\u3044\u3066\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387\u306f\\(P(A)=\\displaystyle\\frac{2}{3}\\)\u3067\u3059\u3002\u4e8b\u8c61B\u306b\u3064\u3044\u3066\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\u306f\\(P(B)=\\displaystyle\\frac{1}{3}\\)\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u300c\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308a\u3001\u304b\u30643\u306e\u500d\u6570\u3068\u306a\u308b\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u300d\u306f3\u30686\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u3092\u540c\u6642\u306b\u6e80\u305f\u3059\u78ba\u7387\\(P(A\u2229B)\\)\u306f\\(\\displaystyle\\frac{1}{3}\\)\u3067\u3059\u3002<\/p>\n<p>\\(P(A)\u00d7P(B)=\\displaystyle\\frac{2}{3}\u00d7\\displaystyle\\frac{1}{3}=\\displaystyle\\frac{2}{9}\\)<\/p>\n<p>\\(P(A\u2229B)=P(A)\u00d7P(B)\\)\u304c\u6210\u308a\u7acb\u305f\u306a\u3044\u305f\u3081\u3001\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u306f\u5f93\u5c5e\u3067\u3059\u3002<\/p>\n<h3>\u78ba\u7387\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u306a\u3044\u5834\u5408\u3001\u78ba\u7387\u5909\u6570\u306f\u72ec\u7acb\u3068\u306a\u308b<\/h3>\n<p>2\u3064\u306e\u4e8b\u8c61\u306b\u3064\u3044\u3066\u3001\u72ec\u7acb\u306a\u306e\u304b\u5f93\u5c5e\u306a\u306e\u304b\u898b\u5206\u3051\u308b\u306e\u306f\u96e3\u3057\u3044\u3067\u3059\u3002\u5148\u307b\u3069\u306e\u4f8b\u3092\u78ba\u8a8d\u3059\u308c\u3070\u3001\u3053\u306e\u7406\u7531\u304c\u308f\u304b\u308b\u306f\u305a\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u72ec\u7acb\u304b\u3069\u3046\u304b\u306e\u78ba\u8a8d\u3092\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u78ba\u7387\u5909\u6570\u3067\u306e\u72ec\u7acb\u3068\u5f93\u5c5e\u306b\u306f\u3069\u306e\u3088\u3046\u306a\u610f\u5473\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<span style=\"color: #0000ff;\">\u78ba\u7387\u5909\u6570\u306e\u72ec\u7acb\u3068\u306f\u30012\u3064\u306e\u4e8b\u8c61\u306b\u3064\u3044\u3066\u3001\u300c\u4e00\u65b9\u306e\u4e8b\u8c61\u304c\u767a\u751f\u3059\u308b\u5834\u5408\u3067\u3042\u3063\u3066\u3082\u3001\u3082\u3046\u4e00\u65b9\u306e\u4e8b\u8c61\u306e\u78ba\u7387\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u306a\u3044\u300d\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span>\u3064\u307e\u308a\u3001\u4e00\u3064\u306e\u4e8b\u8c61\u304c\u767a\u751f\u3057\u3066\u3082\u78ba\u7387\u304c\u5909\u5316\u3057\u306a\u3044\u5834\u5408\u306f\u72ec\u7acb\u3068\u3044\u3046\u308f\u3051\u3067\u3059\u3002<\/p>\n<p>\u6570\u5b66\u3067\u306f\u3001\u300c\u4e8b\u8c61B\u304c\u8d77\u3053\u308b\u3068\u304d\u3001\u540c\u6642\u306bA\u304c\u8d77\u3053\u308b\u78ba\u7387\u300d\u3092\\(P(A|B)\\)\u3068\u8868\u3057\u307e\u3059\u3002\u4e8b\u8c61\u304c\u72ec\u7acb\u306e\u5834\u5408\u3001\u78ba\u7387B\u304c\u8d77\u3053\u3063\u3066\u3082\u4e8b\u8c61A\u306e\u78ba\u7387\\(P(A)\\)\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u306a\u3044\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(A|B)=P(A)\\)<\/li>\n<\/ul>\n<p>\u540c\u69d8\u306b\u3001\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u304c\u72ec\u7acb\u306e\u5834\u5408\u3001\u4ee5\u4e0b\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(B|A)=P(B)\\)<\/li>\n<\/ul>\n<p>\u300c\u4e8b\u8c61A\u304c\u8d77\u3053\u308b\u3068\u3068\u304d\u3001\u540c\u6642\u306bB\u3082\u8d77\u3053\u308b\u78ba\u7387\u300d\u3092\\(P(B|A)\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u72ec\u7acb\u306e\u5834\u5408\u3001\u4e8b\u8c61A\u306f\u4e8b\u8c61B\u306e\u78ba\u7387\\(P(B)\\)\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u306a\u3044\u305f\u3081\u3001\\(P(B|A)\\)\u3068\\(P(B)\\)\u306f\u540c\u3058\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u72ec\u7acb\u3068\u5f93\u5c5e\u306b\u3064\u3044\u3066\u3001\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\u554f\u984c\u3092\u78ba\u8a8d\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u307e\u305a\u3001\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u306f\u3069\u306e\u3088\u3046\u306b\u8003\u3048\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u4e8b\u8c61A\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<li>\u4e8b\u8c61B\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30662\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>\u524d\u8ff0\u306e\u901a\u308a\u3001\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30662\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\\(P(B)\\)\u306f\\(\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002<\/p>\n<p>\u6b21\u306b\u300c\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306e\u3068\u304d\u3001\u540c\u6642\u306b2\u306e\u500d\u6570\u306b\u3082\u306a\u308b\u30b1\u30fc\u30b9\u300d\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u30023\u4ee5\u4e0a\u306e\u6570\u306f4\u901a\u308a\u3067\u3059\uff083,4,5,6\uff09\u3002\u307e\u305f3\u4ee5\u4e0a\u306e\u6570\u306e\u3046\u3061\u30012\u306e\u500d\u6570\u306b\u306a\u308b\u306e\u306f4\u30686\u306e2\u901a\u308a\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u4e8b\u8c61A\u304c\u767a\u751f\u3057\u3066\u3044\u308b\u3068\u304d\u3001\u540c\u6642\u306b\u4e8b\u8c61B\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\\(P(B|A)\\)\u306f\\(\\displaystyle\\frac{2}{4}=\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002<\/p>\n<p>\u3053\u3046\u3057\u3066\\(P(B|A)=P(B)\\)\u3068\u306a\u308b\u305f\u3081\u30012\u3064\u306e\u4e8b\u8c61\u306f\u72ec\u7acb\u3068\u306a\u308a\u307e\u3059\u3002\u4e00\u65b9\u3067\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u306f\u3069\u3046\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u4e8b\u8c61A\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306b\u306a\u308b\u78ba\u7387<\/li>\n<li>\u4e8b\u8c61B\uff1a\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387<\/li>\n<\/ul>\n<p>\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\\(P(B)\\)\u306f\\(\\displaystyle\\frac{1}{3}\\)\u3067\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u300c\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306e\u3068\u304d\u3001\u540c\u6642\u306b3\u306e\u500d\u6570\u306b\u306a\u308b\u78ba\u7387\\(P(B|A)\\)\u300d\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u30b5\u30a4\u30b3\u30ed\u3092\u6295\u3052\u30663\u4ee5\u4e0a\u306e\u30b1\u30fc\u30b9\u306f4\u901a\u308a\u3067\u3059\u3002\u307e\u305f3\u4ee5\u4e0a\u3067\u3042\u308a\u30013\u306e\u500d\u6570\u306b\u306a\u308b\u30b1\u30fc\u30b9\u306f3\u30686\u306e2\u901a\u308a\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(P(B|A)=\\displaystyle\\frac{2}{4}=\\displaystyle\\frac{1}{2}\\)\u3067\u3059\u3002\\(P(B|A)\\)\u3068\\(P(B)\\)\u304c\u4e00\u81f4\u3057\u306a\u3044\u305f\u3081\u3001\u4e8b\u8c61A\u3068\u4e8b\u8c61B\u306f\u5f93\u5c5e\u95a2\u4fc2\u3067\u3059\u3002<\/p>\n<h2>\u72ec\u7acb\u306a\u5834\u5408\u306e\u671f\u5f85\u5024\u306e\u8a08\u7b97<\/h2>\n<p>\u306a\u305c\u72ec\u7acb\u3068\u5f93\u5c5e\u3092\u5b66\u3076\u5fc5\u8981\u304c\u3042\u308b\u304b\u3068\u3044\u3046\u3068\u30012\u3064\u306e\u4e8b\u8c61\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\u304d\u3001\u72ec\u7acb\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u304c\u91cd\u8981\u306b\u306a\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u307e\u305a\u30012\u3064\u306e\u4e8b\u8c61\u3092\u8db3\u3059\u5834\u5408\u306b\u3064\u3044\u3066\u306f\u3001\u72ec\u7acb\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u4f8b\u3048\u3070\u300c\u78ba\u7387\u5909\u6570\\(X\\)\u306e\u671f\u5f85\u5024\\(E(X)\\)\u300d\u3068\u300c\u78ba\u7387\u5909\u6570\\(Y\\)\u306e\u671f\u5f85\u5024\\(E(Y)\\)\u300d\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u671f\u5f85\u5024\u3092\u8db3\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(E(X+Y)=E(X)+E(Y)\\)<\/li>\n<\/ul>\n<p>\u671f\u5f85\u5024\u3068\u3044\u3046\u306e\u306f\u3001\u5e73\u5747\u5024\u3068\u3044\u3046\u4e00\u3064\u306e\u5024\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u72ec\u7acb\u304b\u3069\u3046\u304b\u306b\u95a2\u4fc2\u306a\u304f\u30012\u3064\u306e\u4e8b\u8c61\u3092\u8db3\u3059\u3068\u304d\u306f\u8db3\u3057\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u307e\u305f\\(a\\)\u3068\\(b\\)\u3092\u5b9a\u6570\u3068\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(E(aX+bY)=aE(X)+bE(Y)\\)<\/li>\n<\/ul>\n<p>\u3053\u3053\u307e\u3067\u306e\u5185\u5bb9\u306b\u3064\u3044\u3066\u306f\u3001\u7279\u306b\u554f\u984c\u306a\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u671f\u5f85\u5024\uff08\u5e73\u5747\u5024\uff09\u3092\u8db3\u3057\u305f\u308a\u3001\u671f\u5f85\u5024\u306e\u304b\u3051\u7b97\u3092\u3057\u305f\u5f8c\u306b\u8db3\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u30012\u3064\u306e\u4e8b\u8c61\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u671f\u5f85\u5024\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u30672\u3064\u306e\u671f\u5f85\u5024\u3092\u304b\u3051\u308b\u5834\u5408\u3001<span style=\"color: #ff0000;\">2\u3064\u306e\u4e8b\u8c61\u304c\u72ec\u7acb\u306a\u5834\u5408<\/span>\u306b\u304a\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(E(X\u00d7Y)=E(X)\u00d7E(Y)\\)<\/li>\n<\/ul>\n<p>\u78ba\u7387\u5909\u6570\u306e\u7a4d\u3067\u306f\u3001\u5f93\u5c5e\u95a2\u4fc2\u3067\u306f\u3053\u306e\u516c\u5f0f\u3092\u5229\u7528\u3067\u304d\u307e\u305b\u3093\u3002\u5fc5\u305a\u72ec\u7acb\u95a2\u4fc2\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u306a\u305c\u78ba\u7387\u5909\u6570\u306e\u671f\u5f85\u5024\u3092\u304b\u3051\u308b\u3068\u304d\u30012\u3064\u306e\u4e8b\u8c61\u304c\u72ec\u7acb\u95a2\u4fc2\u3067\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<h3>\u72ec\u7acb\u3067\u306a\u3044\u3068\u3001\u304b\u3051\u7b97\u3092\u3057\u3066\u306f\u3044\u3051\u306a\u3044\u7406\u7531<\/h3>\n<p>\u5f93\u5c5e\u95a2\u4fc2\u3068\u3044\u3046\u306e\u306f\u3001\u78ba\u7387\u304c\u4e92\u3044\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u671f\u5f85\u5024\u306e\u304b\u3051\u7b97\u3092\u3059\u308b\u3068\u3044\u3051\u306a\u3044\u306e\u3067\u3059\u3002\u4f8b\u3048\u3070\u300110\u5e74\u306b1\u56de\u306e\u983b\u5ea6\u3067\u58ca\u308c\u308b\u6a5f\u5668\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u300210\u5e74\u306b\u4e00\u56de\u58ca\u308c\u308b\u305f\u3081\u30011\u5e74\u3092365\u65e5\u3068\u3059\u308b\u3068\u30013650\u65e5\u306b\u4e00\u56de\u306e\u983b\u5ea6\u3067\u6545\u969c\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u6a5f\u5668\u30923\u3064\u540c\u6642\u306b\u7a3c\u50cd\u3055\u305b\u308b\u5834\u5408\u3001\u540c\u3058\u65e5\u306b\u6545\u969c\u3059\u308b\u78ba\u7387\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\left(\\displaystyle\\frac{1}{3650}\\right)^3=\\displaystyle\\frac{1}{48627125000}\\)<\/p>\n<p>\u3064\u307e\u308a\u3001\u6570\u5b66\u7684\u306b\u540c\u3058\u65e5\u306b3\u3064\u306e\u6a5f\u5668\u304c\u540c\u6642\u306b\u6545\u969c\u3059\u308b\u3053\u3068\u306f\u307b\u3068\u3093\u3069\u3042\u308a\u307e\u305b\u3093\u3002\u307e\u305f\u6a5f\u5668\u30924\u3064\u30845\u3064\u306b\u5897\u3084\u305b\u3070\u3001\u540c\u6642\u306b\u6545\u969c\u3059\u308b\u3053\u3068\u306f\u8003\u3048\u3089\u308c\u307e\u305b\u3093\u3002\u72ec\u7acb\u3067\u3042\u308b\u5834\u5408\u3001\u304b\u3051\u7b97\u306b\u3088\u3063\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u6545\u969c\u306e\u539f\u56e0\u304c\u300c\u3042\u308b\u65e5\u306e\u5927\u898f\u6a21\u5730\u9707\u306b\u3088\u3063\u3066\u5de8\u5927\u306a\u6d25\u6ce2\u304c\u767a\u751f\u3057\u305f\u300d\u3067\u3042\u308c\u3070\u3069\u3046\u3067\u3057\u3087\u3046\u304b\u3002\u5de8\u5927\u6d25\u6ce2\u3068\u3044\u3046\u4e8b\u8c61\u304c\u767a\u751f\u3059\u308b\u3068\u304d\u3001\u4e00\u3064\u306e\u6a5f\u5668\u3060\u3051\u3067\u306a\u304f\u3001\u540c\u6642\u306b\u307b\u304b\u306e\u6a5f\u5668\u3082100%\u306e\u78ba\u7387\u3067\u6545\u969c\u3057\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a<span style=\"color: #0000ff;\">\u3053\u306e\u5834\u5408\u306e\u6a5f\u5668\u306e\u6545\u969c\u3068\u3044\u3046\u306e\u306f\u3001\u6a5f\u5668A\u30fb\u6a5f\u5668B\u30fb\u6a5f\u5668C\u304c\u72ec\u7acb\u95a2\u4fc2\u3067\u306f\u306a\u304f\u3001\u5f93\u5c5e\u95a2\u4fc2\u306b\u3042\u308b\u3068\u3044\u3048\u307e\u3059\u3002<\/span>\u5f93\u5c5e\u95a2\u4fc2\u306e\u5834\u5408\u3001\u4e00\u3064\u306e\u4e8b\u8c61\u306b\u3088\u3063\u3066\u78ba\u7387\u304c\u5927\u304d\u304f\u5909\u5316\u3057\u307e\u3059\u3002\u4eca\u56de\u306e\u4f8b\u3067\u3042\u308c\u3070\u3001\u5de8\u5927\u6d25\u6ce2\u306b\u3088\u3063\u3066100%\u306e\u78ba\u7387\u3067\u6a5f\u5668\u304c\u58ca\u308c\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u3059\u3002<\/p>\n<p>\u3053\u3046\u3057\u3066\u8d77\u3053\u3063\u305f\u51fa\u6765\u4e8b\u304c\u6771\u65e5\u672c\u5927\u9707\u707d\u306b\u3088\u3063\u3066\u8d77\u3053\u3063\u305f\u798f\u5cf6\u539f\u767a\u4e8b\u6545\u3067\u3059\u3002\u4ee5\u4e0b\u306f\u5f53\u6642\u306e\u69d8\u5b50\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/bfyie3.jpg\" alt=\"\" width=\"600\" height=\"400\" class=\"aligncenter size-full wp-image-5370\" \/><\/p>\n<p style=\"text-align: right;\">\u51fa\u5178\uff1aAir Photo Service Co. Ltd<\/p>\n<p>\u7406\u8ad6\u4e0a\u3001\u539f\u5b50\u529b\u767a\u96fb\u6240\u3067\u306e\u4e8b\u6545\u306e\u767a\u751f\u78ba\u7387\u306f\u30bc\u30ed\u306e\u3088\u3046\u306b\u601d\u308f\u308c\u3066\u3044\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u5b9f\u969b\u306b\u306f\u5f93\u5c5e\u95a2\u4fc2\u306b\u3042\u308a\u3001\u5927\u9707\u707d\u306b\u3088\u308b\u6d25\u6ce2\u306b\u3088\u3063\u3066\u5927\u898f\u6a21\u306a\u4e8b\u6545\u3078\u3068\u767a\u5c55\u3057\u305f\u306e\u3067\u3059\u3002<\/p>\n<p>\u3053\u3046\u3057\u305f\u6545\u969c\u3092\u5171\u901a\u539f\u56e0\u6545\u969c\uff08Common Cause Failure\uff09\u3068\u547c\u3073\u307e\u3059\u3002\u539f\u5b50\u529b\u767a\u96fb\u6240\u306a\u3069\u4e00\u56de\u306e\u4e8b\u6545\u306b\u3088\u3063\u3066\u591a\u5927\u306a\u88ab\u5bb3\u3092\u3082\u305f\u3089\u3059\u5834\u5408\u3001\u5171\u901a\u539f\u56e0\u6545\u969c\u306f\u7279\u306b\u8003\u616e\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u8981\u7d20\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u8003\u3048\u308b\u3068\u3001\u5f93\u5c5e\u95a2\u4fc2\u306e\u5834\u5408\u306b\u671f\u5f85\u5024\u3092\u304b\u3051\u3066\u306f\u3044\u3051\u306a\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u4e00\u3064\u306e\u51fa\u6765\u4e8b\u304c\u78ba\u7387\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u5834\u5408\u30012\u3064\u306e\u671f\u5f85\u5024\u3092\u304b\u3051\u3066\u3082\u6b63\u3057\u3044\u7b54\u3048\u3092\u5f97\u3089\u308c\u306a\u3044\u306e\u3067\u3059\u3002\u307e\u305f\u30012\u3064\u306e\u4e8b\u8c61\u304c\u72ec\u7acb\u306a\u306e\u304b\u5f93\u5c5e\u306a\u306e\u304b\u3092\u7406\u89e3\u3059\u308b\u306e\u304c\u306a\u305c\u91cd\u8981\u306a\u306e\u304b\u3082\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h3>\u72ec\u7acb\u306e\u3068\u304d\u3001\u5206\u6563\u3067\u306f\u4e8c\u4e57\u306e\u8a08\u7b97\u3092\u3057\u305f\u5f8c\u306b\u8db3\u3059<\/h3>\n<p>\u306a\u304a2\u3064\u306e\u8981\u7d20\u3092\u8db3\u3059\u3068\u304d\u306b\u3064\u3044\u3066\u3001\u5206\u6563\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u3082\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u671f\u5f85\u5024\u306b\u3064\u3044\u3066\u306f\u3001\u72ec\u7acb\u3084\u5f93\u5c5e\u306b\u95a2\u4fc2\u306a\u304f\u8db3\u3057\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3068\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u4e00\u65b9\u3067\u5206\u6563\u306f\u3069\u3046\u306a\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u5206\u6563\u306b\u3064\u3044\u3066\u306f\u3001<span style=\"color: #ff0000;\">2\u3064\u306e\u4e8b\u8c61\u304c\u72ec\u7acb\u306e\u3068\u304d<\/span>\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(V(X+Y)=V(X)+V(Y)\\)<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\u8db3\u3057\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u72ec\u7acb\u3067\u306a\u3044\u5834\u5408\u30012\u3064\u306e\u5206\u6563\u3092\u8db3\u3057\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002\u8a73\u3057\u3044\u8aac\u660e\u3092\u7701\u304d\u307e\u3059\u304c\u30012\u3064\u306e\u4e8b\u8c61\u306b\u95a2\u4fc2\u6027\u304c\u3042\u308b\u5834\u5408\uff08\u5f93\u5c5e\u95a2\u4fc2\u306e\u5834\u5408\uff09\u30012\u3064\u306e\u4e8b\u8c61\u3092\u8db3\u3059\u3068\u304d\u3001\u5171\u5206\u6563\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u5171\u5206\u6563\u3068\u306f\u30012\u3064\u306e\u4e8b\u8c61\u304c\u3069\u308c\u3060\u3051\u95a2\u4fc2\u3057\u3066\u3044\u308b\u306e\u304b\u3092\u8868\u3059\u3070\u3089\u3064\u304d\u3067\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a2\u3064\u306e\u78ba\u7387\u5909\u6570\u3092\u8db3\u3059\u3068\u304d\u3001\u5206\u6563\\(\\)\u3068\u3044\u3046\u306e\u306f\u3001\u30b6\u30c3\u30af\u30ea\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3068\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(V(X+Y)=\\)\u4e8b\u8c61A\u306e\u5206\u6563\\(+\\)\u4e8b\u8c61B\u306e\u5206\u6563\\(+\\)\u5171\u5206\u6563<\/li>\n<\/ul>\n<p>\u305f\u3060<span style=\"color: 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