(d)

Tobias Ali
2020-12-03
Answered

Which of the following binomial distributions can be well approximated by a normal distribution? A Poisson distribution? Both? Neither?

(d)$n=1000$ ,$p=.001$

(d)

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unett

Answered 2020-12-04
Author has **119** answers

The Rule of five:

The normal with means np and np q can be used to approximate the binomial distribution with parameters n and p if

Here,

Normal approximation cannot be used for the binomial distribution with

The direct approximation of the binomial by Poisson says that the binomial distribution with parameters n and p has the same distribution as the Poisson with the parameter np when npis large.

The value of np is obtained as shown below:

Since the value of n is large and p is small and the value of np is small, the binomial distribution can be approximated to Poisson.

That is, the binomial distribution with

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