Suppose that X is normally distributed with mean 150 and variance 400. If a sample of 16

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Suppose that X is normally distributed with mean 150 and variance 400. If a sample of 16 independent trials is randomly chosen from the X population, find

(a) P(M> 150)

(b) P(145 < Af < 149)

(c) the mean and variance of M.

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