If a binomial distribution problem has $\mathrm{p}=0.003$ and $\mathrm{n}=1000$, then the answer should be approximated by using
A) Table V (in your textbook).
B) the Poisson distribution.
C) the hypergeometric distribution.
D) the multinomial distribution.

Question

Quizplus · Accepted Answer

When the probability of success ($p$) is very small and the number of trials ($n$) is large, the binomial distribution can be approximated by the Poisson distribution. This is especially true when $np$ is less than or equal to 10, which is the case here ($0.003 \times 1000 = 3$).

If a Binomial Distribution Problem Has p=0.003\mathrm{p}=0.003p=0.003 And n=1000\mathrm{n}=1000n=1000 , Then the Answer Should Be Approximated by Using A)

If a Binomial Distribution Problem Has $\mathrm{p}=0.003$ And $\mathrm{n}=1000$ , Then the Answer Should Be Approximated by Using
A)