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lunziyou · 2017年01月15日

问一道题:NO.PZ2016062402000016 [ FRM I ]

问题如下图:

    

选项:

A.

B.

C.

D.

老师您好

我的答案是D,答案解析里面的success of rate 指的不应该是Probability吗?large number of trails, small probability of success这是poisson的定义,所以觉得选D,求解惑

1 个答案
已采纳答案

源_品职助教 · 2017年01月15日


这道题我是这样理解的:

泊松分本是一个离散分布,而正太分布是一个连续分布。

这里的SUCCESS OF RATE是指的参数λ,如果λ取值足够大,那么服从泊松分布的随机变量的取值表达式的取值就为零(可以微积分证明)。

注意到,对于服从正太分布的随机变量,它取一个特定数值的概率P(X=x)的概率也等于0.

如此看来,此时,泊松分布就是与正太分布趋同的。



lunziyou · 2017年01月18日

谢谢

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