The form of the moment-generating function for a normal random variable is MY(t) = eat+b2t2/2 (recall Example

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The form of the moment-generating function for a normal random variable is MY(t) = eat+b2t2/2 (recall Example 3.12.4). Differentiate MY(t) to verify that a = E(Y) and b2 = Var(Y).
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