同样是随机抽取,为什么第一题的第一小步中用超几何分布的方法求,而第二小步要用独立重复实验来做呢?图

2025-04-08 04:14:29
推荐回答(1个)
回答(1):

其实本来两个都应该用超几何分布才对。
但是如果你看过超几何分布的概念的话,当超几何分布中,总体样本数量远远大于抽样样本数量时,超几何分布就近似等于二项分布了。
i中,是10个样品中,抽3个样品,两者相差不是很大,所以不能近似为二项分布,只能是老老实实用超几何分布。
ii中,没说是总共有多少个乙型号产品。但是前面的直方图就是抽取100个件后得到的。这说明乙产品的总数量应该多于甚至是远多于100个,比抽取的3个样本的数量大多了。所以可以近似为二项分布了。而且因为没有总样本数量,所以也无法用超几何分布来做。

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