大神们给看下这道题 FRM 1

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When can you use the normal distribution to approximate the Poisson distribution,
assuming you have n independent trials each with a probability of
success of p
A. When the mean of the Poisson distribution is very small
B. When the variance of the Poisson distribution is very small
C. When the number of observations is very large and the success rate is
close to 1
D. When the number of observations is very large and the success rate is
close to 0

书上的答案是c。但是我理解的是np=λ，当n很大的时候，p应该趋于零，应该选D吧？

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关键词：FRM distribution observations observation Independent success number normal

答案是C
根据中心极限定理，当λ很大的时候，泊松分布是均值λ，方差λ的正态分布的很好的近似。
n要求非常大，只有p趋近于1才能满足λ=np足够大。

赞同答案是C

赞同答案是C

the answer is C

The normal distribution can also be used to approximate the Poisson distribution for large values of l (the mean of the Poisson distribution).

    If X ~ Po(l) then for large values of l, X ~ N(l, l) approximately.

thanks

the anwser is C  the success rate is close to 1

答案肯定选C

d是二项分布的解释，n越大p越小二项分布就近似于泊松分布