Consider the binomial random variable \(X∼B(n,p)\).
If \(n\) is large and \(p\) is close to \(0.5\), then the binomial distribution \(X∼B(n,p)\) can be approximated by the Normal distribution \(X∼N\Big(np, \sqrt{np(1-p)}\Big)\).
Approximating the binomial distribution using the Normal distribution
If \(n\) is large and \(p\) is close to \(0.5\), then the binomial distribution \(X∼B(n,p)\) can be approximated by the Normal distribution \(X∼N\Big(np, \sqrt{np(1-p)}\Big)\).
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