Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial?

Staffangz

Staffangz

Answered question

2022-09-13

Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial. Under what conditions is it appropriate to use a normal approximation to the binomial?

Answer & Explanation

enviroatz0z

enviroatz0z

Beginner2022-09-14Added 12 answers

Given: n is the number of trials and pp is the probability of success on each trial.
It is appropriate to approximate the binomial distribution by the normal distribution, if
np>5
and
nq=n(1-p)>5
Result:
np>5 and nq=n(1-p)>5

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