The hypergeometric distribution with $n=150, a=20$, and $b=2180$ can be approximated with a Poisson distribution.

Question

Quizplus · Accepted Answer

Given the large population size ($b=2180$) and the relatively small sample size ($n=150$) and success states ($a=20$), the conditions for approximating the hypergeometric distribution with a Poisson distribution are met, especially since $n$ is much smaller than $N=a+b$, and $a/N$ is small.

The Hypergeometric Distribution With n=150,a=20n=150, a=20n=150,a=20 , And b=2180b=2180b=2180 Can Be Approximated with a Poisson Distribution

The Hypergeometric Distribution With $n=150, a=20$ , And $b=2180$ Can Be Approximated with a Poisson Distribution