As a general rule,one can use the normal distribution to approximate a binomial distribution whenever np and n(1−p)are at least 5.

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Quizplus · Accepted Answer

This is known as the "normal approximation to the binomial" rule and is commonly used in statistics. If np and n(1-p) are both at least 5, then the distribution of the sample mean can be approximated by a normal distribution with mean μ = np and standard deviation σ = sqrt(np(1-p)).

As a General Rule,one Can Use the Normal Distribution to Approximate