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Question: When can the normal distribution be used as an approximation to the binomial distribution?


A ) n.p = 5, n.q = 5
B ) n.p ≤ 5, n.q ≤ 5
C ) n.p > 5, n.q < 5
D ) n.p ≥ 5, n.q ≥ 5

Steps to derive

1 The normal distribution can be used as an approximation to the binomial distribution only when n.p and n.q are both greater than or equal to 5.
So, n.p ≥ 5 and n.q ≥ 5.



Hence the right answer is Option D

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