The normal approximation of the binomial distribution is appropriate when
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Normal Approximations. The normal distribution can be used as an approximation to the binomial distribution, under certain circumstances, namely: If X ~ B(n, p) and if n is large and/or p is close to ½, then X is approximately N(np, npq)
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The normal approximation of the binomial distribution is appropriate when both the normals of the sides of the distribution meeta each other at a point.
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