{"id":6167,"date":"2022-05-14T16:35:36","date_gmt":"2022-05-14T07:35:36","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=6167"},"modified":"2022-05-28T17:28:27","modified_gmt":"2022-05-28T08:28:27","slug":"hypergeometric-distribution","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/hypergeometric-distribution.html","title":{"rendered":"\u8d85\u5e7e\u4f55\u5206\u5e03\uff1a\u671f\u5f85\u5024\uff08\u5e73\u5747\uff09\u30fb\u5206\u6563\u306e\u8a08\u7b97\u3068\u4e8c\u9805\u5206\u5e03\u3068\u306e\u9055\u3044"},"content":{"rendered":"\n<p>\u7d71\u8a08\u5b66\u3067\u5b66\u3076\u5206\u91ce\u306e\u4e00\u3064\u304c\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u3059\u3002\u5e7e\u4f55\u5206\u5e03\u3068\u306f\u307e\u3063\u305f\u304f\u7570\u306a\u308b\u5206\u5e03\u3067\u3042\u308b\u305f\u3081\u3001\u5e7e\u4f55\u5206\u5e03\u3068\u306f\u7570\u306a\u308b\u6982\u5ff5\u3068\u3057\u3066\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u6570\u5f0f\u3092\u773a\u3081\u3066\u3082\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u6570\u5f0f\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u7406\u89e3\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u306f\u671f\u5f85\u5024\uff08\u5e73\u5747\uff09\u3084\u5206\u6563\u3092\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u306e\u671f\u5f85\u5024\u3084\u5206\u6563\u306e\u516c\u5f0f\u3092\u5c0e\u304d\u51fa\u305b\u308b\u3088\u3046\u306b\u306a\u308b\u5fc5\u8981\u306f\u306a\u3044\u3082\u306e\u306e\u3001\u4e8c\u9805\u5206\u5e03\u3067\u671f\u5f85\u5024\u3084\u5206\u6563\u3092\u5f97\u308b\u516c\u5f0f\u3068\u306e\u9055\u3044\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306a\u5834\u9762\u3067\u8d85\u5e7e\u4f55\u5206\u5e03\u304c\u5229\u7528\u3055\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305f\u3001\u7279\u5fb4\u306b\u306f\u4f55\u304c\u3042\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u6982\u5ff5\u3084\u671f\u5f85\u5024\u30fb\u5206\u6563\u306e\u51fa\u3057\u65b9\u3001\u4e8c\u9805\u5206\u5e03\u3068\u306e\u9055\u3044\u3092\u542b\u3081\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u6982\u5ff5\u3068\u610f\u5473<\/h2>\n<p>\u4e8c\u8005\u629e\u4e00\u306e\u3068\u304d\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u300c\u7d50\u679c\u304c2\u3064\u3057\u304b\u306a\u3044\u3068\u304d\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u7528\u3044\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u300d\u3068\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3069\u306e\u3088\u3046\u306a\u5834\u9762\u3067\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u6d3b\u7528\u3059\u308b\u304b\u3068\u3044\u3046\u3068\u3001\u4e8c\u8005\u629e\u4e00\u306e\u4e2d\u3067\u3082\u3001\u8a66\u884c\u3092\u7e70\u308a\u8fd4\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u767a\u751f\u78ba\u7387\u304c\u5909\u308f\u308b\u5834\u9762\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u306f\u5408\u8a08\\(N\\)\u3001\u76ee\u7684\u7269\u306e\u6570\\(M\\)\u3001\u53d6\u308a\u51fa\u3059\u30b5\u30f3\u30d7\u30eb\u6570\\(n\\)\u306e3\u3064\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u3067\u5229\u7528\u3055\u308c\u308b\u306e\u304c\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u3059\u3002<\/p>\n<ul>\n<li>\u5408\u8a08\\(N\\)\u500b\u306e\u30af\u30b8\u304c\u3042\u308a\u3001\u305d\u306e\u3046\u3061\\(M\\)\u500b\u304c\u5f53\u305f\u308a\u3067\u3059\u3002\u3053\u306e\u4e2d\u304b\u3089\\(n\\)\u500b\u3092\u53d6\u308a\u51fa\u3059\u5834\u5408\u3001\u5f53\u305f\u308a\u3092\u5f15\u304f\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/05\/kgje3.jpg\" alt=\"\" width=\"500\" height=\"170\" class=\"aligncenter size-full wp-image-6275\" \/><\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u7d50\u679c\u306f\u5f53\u305f\u308a\u3001\u307e\u305f\u306f\u306f\u305a\u308c\u306e2\u3064\u3067\u3059\u3002\u307e\u305f<span style=\"color: #0000ff;\">\u8a66\u884c\u56de\u6570\u3092\u5897\u3084\u3059\u3054\u3068\u306b\u5f53\u305f\u308a\u3092\u5f15\u304f\u78ba\u7387\u306f\u5909\u308f\u308a\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\u306f\u305a\u308c\u30af\u30b8\u3092\u5f15\u3044\u305f\u5834\u5408\u3001\u5f53\u305f\u308a\u3092\u5f15\u304f\u78ba\u7387\u306f\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002\u30b3\u30a4\u30f3\u3084\u30b5\u30a4\u30b3\u30ed\u306e\u3088\u3046\u306b\u3001\u78ba\u7387\u304c\u540c\u4e00\u306e\u8a66\u884c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u3088\u3046\u306a\u78ba\u7387\u5206\u5e03\u304c\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u3059\u3002<\/p>\n<h3>\u78ba\u7387\u8cea\u91cf\u95a2\u6570\u306e\u516c\u5f0f<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u78ba\u7387\u8cea\u91cf\u95a2\u6570\uff08\u78ba\u7387\u3092\u5f97\u308b\u516c\u5f0f\uff09\u306f\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305a\u306f\u5177\u4f53\u4f8b\u3092\u5229\u7528\u3057\u3066\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u5148\u307b\u3069\u306e\u4f8b\u984c\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u30b1\u30fc\u30b9\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u5408\u8a088\u500b\u306e\u30af\u30b8\u304c\u3042\u308a\u3001\u305d\u306e\u3046\u30612\u500b\u304c\u5f53\u305f\u308a\u3067\u3059\u3002\u3053\u306e\u4e2d\u304b\u30893\u500b\u3092\u53d6\u308a\u51fa\u3057\u3001\u5f53\u305f\u308a\u30921\u500b\u5f15\u304f\u5834\u5408\u3001\u5f53\u305f\u308a\u3092\u5f15\u304f\u78ba\u7387\u306f\u3044\u304f\u3089\u3067\u3057\u3087\u3046\u304b\u3002<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/05\/kgje4-1.jpg\" alt=\"\" width=\"500\" height=\"168\" class=\"aligncenter size-full wp-image-6276\" \/><\/p>\n<p>\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u5206\u6bcd\u306b\u5168\u4f53\u306e\u6570\u3092\u7f6e\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5408\u8a088\u500b\u306e\u3046\u3061\u30013\u500b\u3092\u53d6\u308a\u51fa\u3059\u305f\u3081\u3001\u5206\u6bcd\u306f\\(_8C_3\\)\u3067\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u5f53\u305f\u308a\u30921\u500b\u5f15\u304f\u5834\u9762\u3092\u60f3\u5b9a\u3057\u307e\u3057\u3087\u3046\u3002\u5f53\u7136\u3001\u5f53\u305f\u308a\u3092\u5f15\u304f\u306e\u304c0\u500b\u30011\u500b\u30012\u500b\u3067\u306f\u78ba\u7387\u306f\u305d\u308c\u305e\u308c\u7570\u306a\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u554f\u984c\u6587\u306e\u901a\u308a\u3001\u5f53\u305f\u308a\u30af\u30b8\u30921\u500b\u5f15\u304f\u3068\u3044\u3046\u308f\u3051\u3067\u3059\u3002<\/p>\n<p>\u5f53\u305f\u308a2\u500b\u306e\u3046\u3061\u30011\u500b\u3092\u9078\u3076\u306e\u3067\\(_2C_1\\)\u3067\u3059\u3002\u307e\u305f\u306f\u305a\u308c6\u500b\u306e\u3046\u3061\u30012\u500b\u3092\u9078\u3076\u306e\u3067\\(_6C_2\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u306b\u3088\u3063\u3066\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{_2C_1\u00d7_6C_2}{_8C_3}\u22520.536\\)<\/p>\n<p>\u78ba\u7387\u306e\u51fa\u3057\u65b9\u3092\u7406\u89e3\u3057\u3066\u3044\u308b\u4eba\u3067\u3042\u308c\u3070\u3001\u7279\u306b\u554f\u984c\u306a\u304f\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u307e\u3067\u306e\u5185\u5bb9\u3092\u8e0f\u307e\u3048\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u78ba\u7387\u3092\u5f97\u308b\u516c\u5f0f\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u78ba\u7387\u8cea\u91cf\u95a2\u6570\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{_MC_x\u00d7_{N-M}C_{n-x}}{_NC_n}\\)<\/li>\n<\/ul>\n<p>\u203b\\(x\\)\u306f\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u304f\u6570<\/p>\n<p>\u6700\u521d\u306b\u3053\u306e\u516c\u5f0f\u3092\u898b\u308b\u3068\u3001\u591a\u304f\u306e\u4eba\u306f\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3060\u4eca\u56de\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u78ba\u7387\u8cea\u91cf\u95a2\u6570\u3092\u63d0\u793a\u3059\u308b\u524d\u306b\u4f8b\u984c\u3092\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002\u5148\u307b\u3069\u306e\u4f8b\u984c\u3092\u6570\u5f0f\u306b\u7f6e\u304d\u63db\u3048\u308b\u3068\u3001\u3053\u306e\u3088\u3046\u306a\u516c\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002\u7c21\u5358\u306a\u4f8b\u984c\u3092\u78ba\u8a8d\u5f8c\u3001\u78ba\u7387\u8cea\u91cf\u95a2\u6570\u3092\u5b66\u3079\u3070\u5185\u5bb9\u306f\u96e3\u3057\u304f\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2>\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u671f\u5f85\u5024\uff08\u5e73\u5747\uff09\u3068\u5206\u6563\u3092\u6c42\u3081\u308b\u516c\u5f0f<\/h2>\n<p>\u6b21\u306b\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u671f\u5f85\u5024\uff08\u5e73\u5747\uff09\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u671f\u5f85\u5024\\(E(X)\\)\u3092\u51fa\u3059\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(E(X)=\\displaystyle\\frac{nM}{N}\\)<\/li>\n<\/ul>\n<p>\u516c\u5f0f\u3092\u51fa\u3059\u8a08\u7b97\u904e\u7a0b\u306f\u975e\u5e38\u306b\u8907\u96d1\u306a\u306e\u3067\u7701\u304d\u307e\u3059\u3002\u307e\u305f\u5206\u6563\\(V(X)\\)\u306b\u3064\u3044\u3066\u306f\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(V(X)=\\displaystyle\\frac{nM}{N}\\left(1-\\displaystyle\\frac{M}{N}\\right)\\)\\(\\left(\\displaystyle\\frac{N-n}{N-1}\\right)\\)<\/li>\n<\/ul>\n<p>\u671f\u5f85\u5024\u3084\u5206\u6563\u306e\u516c\u5f0f\u3092\u51fa\u3059\u904e\u7a0b\u306f\u8907\u96d1\u306a\u306e\u3067\u3001\u8208\u5473\u306e\u3042\u308b\u4eba\u306f\u5927\u5b66\u306e\u6559\u79d1\u66f8\u3092\u7528\u3044\u3066\u5b66\u7fd2\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h3>\u4e8c\u9805\u5206\u5e03\u3068\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u95a2\u4fc2\u3068\u9055\u3044<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u5148\u307b\u3069\u306e\u516c\u5f0f\u306f\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u4e8c\u8005\u629e\u4e00\uff08\u7d50\u679c\u304c2\u3064\uff09\u306e\u5206\u5e03\u3068\u3057\u3066\u3001\u4e8c\u9805\u5206\u5e03\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u4e8c\u9805\u5206\u5e03\u3068\u8d85\u5e7e\u4f55\u5206\u5e03\u306f\u6027\u8cea\u304c\u4f3c\u3066\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u4e8c\u9805\u5206\u5e03\u3068\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u9055\u3044\u3092\u7406\u89e3\u3057\u3001\u516c\u5f0f\u306e\u95a2\u4fc2\u6027\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><span style=\"color: #ff0000;\">\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u306f\\(\\displaystyle\\frac{M}{N}\\)\u306b\u7740\u76ee\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u5206\u6bcd\u304c\u5408\u8a08\\(N\\)\u3067\u3042\u308a\u3001\u5206\u5b50\u304c\u5f53\u305f\u308a\u30af\u30b8\\(M\\)\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u304f\u78ba\u7387\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u4e8c\u9805\u5206\u5e03\u3067\u306f\u3001\\(\\displaystyle\\frac{M}{N}=p\\)\u3068\u8868\u3057\u307e\u3057\u305f\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5148\u307b\u3069\u306e\u516c\u5f0f\u3092\u5909\u63db\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(E(X)=np\\)<\/li>\n<li>\\(V(X)=np(1-p)\\left(\\displaystyle\\frac{N-n}{N-1}\\right)\\)<\/li>\n<\/ul>\n<p><span style=\"color: #0000ff;\">\u3053\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u3048\u308b\u3068\u3001\u4e8c\u9805\u5206\u5e03\u3067\u671f\u5f85\u5024\uff08\u5e73\u5747\uff09\u3084\u5206\u6563\u3092\u5f97\u308b\u516c\u5f0f\u3068\u540c\u3058\u3001\u307e\u305f\u306f\u4f3c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span>\u4e8c\u9805\u5206\u5e03\u3067\u671f\u5f85\u5024\\(E(X)\\)\u3068\u5206\u6563\\(V(X)\\)\u3092\u5f97\u308b\u516c\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(E(X)=np\\)<\/li>\n<li>\\(V(X)=np(1-p)\\)<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\u4e8c\u9805\u5206\u5e03\u3068\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u671f\u5f85\u5024\u3084\u5206\u6563\u306e\u516c\u5f0f\u3092\u6bd4\u8f03\u3059\u308b\u3068\u3001\\(\\left(\\displaystyle\\frac{N-n}{N-1}\\right)\\)\u306e\u90e8\u5206\u304c\u9055\u3046\u3060\u3051\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u4e8c\u9805\u5206\u5e03\u306e\u5834\u5408\u3001\u540c\u3058\u8a66\u884c\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002\u4e00\u65b9\u3067\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u5834\u5408\u3001\u8a66\u884c\u3092\u7e70\u308a\u8fd4\u3059\u3068\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u304f\u78ba\u7387\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u306f\u305a\u308c\u30af\u30b8\u3092\u4f55\u5ea6\u3082\u5f15\u304f\u3068\u3001\u305d\u306e\u5206\u3060\u3051\u5f53\u305f\u308a\u30af\u30b8\u3092\u5f15\u304d\u3084\u3059\u304f\u306a\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u53c2\u8003\u307e\u3067\u306b\u3001\\(N\uff1d\u221e\\)\u306e\u5834\u5408\u306f\\(\\left(\\displaystyle\\frac{N-n}{N-1}\\right)=1\\)\u306b\u306a\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u5408\u8a08100\u4e07\u500b\u306e\u3046\u3061\u3001\u5f53\u305f\u308a\u30af\u30b8\u304c1\u500b\u542b\u307e\u308c\u3066\u304a\u308a\u300110\u56de\u30af\u30b8\u3092\u5f15\u304f\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u5408\u8a08\\(N\\)\u304c\u975e\u5e38\u306b\u5927\u304d\u3044\u306e\u3067\u3001\u53d6\u308a\u51fa\u3059\u500b\u6570\\(n\\)\u3092\u7121\u8996\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(\\left(\\displaystyle\\frac{N-n}{N-1}\\right)=1\\)\u306e\u5834\u5408\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u516c\u5f0f\u306f\u5206\u6563\u3092\u542b\u3081\u3066\u4e8c\u9805\u5206\u5e03\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002<span style=\"color: #0000ff;\">\u5408\u8a08\\(N\\)\u304c\u975e\u5e38\u306b\u5927\u304d\u3044\u5834\u5408\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u4e8c\u9805\u5206\u5e03\u3078\u8fd1\u4f3c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/span><\/p>\n<p>\u6570\u5104\u5186\u306e\u8d85\u9ad8\u984d\u306a\u304a\u91d1\u304c\u5f53\u305f\u308b\u5b9d\u304f\u3058\u3068\u3044\u3046\u306e\u306f\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3067\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u5408\u8a08\\(N\\)\u304c\u975e\u5e38\u306b\u5927\u304d\u3044\u306e\u3067\u4e8c\u9805\u5206\u5e03\u3068\u307f\u306a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u4e00\u822c\u7684\u306b\u306f\u3001\\(\\displaystyle\\frac{n}{N}\u22640.1\\)\u306e\u5834\u5408\u306f\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u4e8c\u9805\u5206\u5e03\u3078\u8fd1\u4f3c\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u5168\u4f53\u306e\u6570\\(N\\)\u306b\u5bfe\u3057\u3066\u3001\u629c\u304d\u53d6\u308b\u6570\\(n\\)\u306e\u5272\u5408\u304c0.1\u4ee5\u4e0b\uff0810%\u4ee5\u4e0b\uff09\u306e\u5834\u5408\u3001\u8d85\u5e7e\u4f55\u5206\u5e03\u3092\u4e8c\u9805\u5206\u5e03\u3068\u307f\u306a\u3057\u3066\u8a08\u7b97\u3057\u3066\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h3>\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3068\u8d85\u5e7e\u4f55\u5206\u5e03\u306e\u95a2\u4fc2<\/h3>\n<p>\u306a\u304a\u8d85\u5e7e\u4f55\u5206\u5e03\u304c\u4e8c\u9805\u5206\u5e03\u3068\u4f3c\u3066\u3044\u308b\u3053\u3068\u304b\u3089\u3001\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306b\u8fd1\u4f3c\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306f\u767a\u751f\u78ba\u7387\u304c\u975e\u5e38\u306b\u4f4e\u3044\u30a4\u30d9\u30f3\u30c8\u306b\u5bfe\u3057\u3066\u5229\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3092\u5229\u7528\u3067\u304d\u308b\u6761\u4ef6\u3068\u3057\u3066\u306f\u4ee5\u4e0b\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{x}{n}\u22640.1\\)<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\u62bd\u51fa\u3057\u305f\u30b5\u30f3\u30d7\u30eb\\(n\\)\u306e\u3046\u3061\u3001\u5f53\u305f\u308a\u30af\u30b8\u306e\u5272\u5408\u304c0.1\u4ee5\u4e0b\uff0810%\u4ee5\u4e0b\uff09\u306e\u5834\u5408\u306f\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u8d85\u5e7e\u4f55\u5206\u5e03\u3001\u4e8c\u9805\u5206\u5e03\u3001\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306b\u5bfe\u3057\u3066\u4ee5\u4e0b\u306e\u95a2\u4fc2\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/05\/oehf11.jpg\" alt=\"\" width=\"600\" height=\"325\" class=\"aligncenter size-full wp-image-6401\" 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