Given a binomial distribution with n trials and probability p of a success on any trial,a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if
A)np ≤ 5 and n(1 − p)≤ 5
B)np ≥ 5 and np(1 − p)≥ 5
C)np ≥ 5 and n(1 − p)≥ 5
D)None of these choices.

Question

Quizplus · Accepted Answer

The normal approximation to the binomial distribution is considered adequate if both np ≥ 5 and n(1 − p) ≥ 5, ensuring that there are enough expected successes and failures.

Given a Binomial Distribution with N Trials and Probability P