Question: If the moment-generating function of X is M(t) = exp(166t + 200t2), find (a) The mean of X. (b) The variance of X. (c) P(170

If the moment-generating function of X is M(t) = exp(166t + 200t2), find
(a) The mean of X.
(b) The variance of X.
(c) P(170 < X < 200).
(d) P(148 ≤ X ≤ 172).

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