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)).

[b]uApproximating the binomial distribution using the Normal distribution[/u]/b

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)).