As a general rule, one can use the normal distribution to approximate a binomial
distribution whenever n?and $n ( \pi - 1 )$ are at least 5.

Question

Quizplus · Accepted Answer

The normal distribution can be used to approximate a binomial distribution when n and n(π - 1) are both at least 5 because the central limit theorem states that the distribution of sample means will be approximately normal for large sample sizes, regardless of the shape of the population distribution.

As a General Rule, One Can Use the Normal Distribution n(π−1)n ( \pi - 1 )n(π−1)

As a General Rule, One Can Use the Normal Distribution $n ( \pi - 1 )$