According to the Central Limit Theorem, the normal distribution can be used as an approximation to the binomial distribution, if the sample size is large enough.
If X is Binomial (n, p):$$E(X) = np$$ $$Var(V) = np(1-p)$$
The approximate equivalent normal distribution is N[np,√(np(1-p))], provided np≥ 5 and n(1- p)≥ 5 (thumb rule).
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