Question: Suppose that X is a random variable with m.g.f. (t), mean , and variance 2; and let c(t) = log[(t)]. Prove that c'(0) =

Suppose that X is a random variable with m.g.f. ψ(t), mean μ, and variance σ2; and let c(t) = log[ψ(t)]. Prove that c'(0) = μ and c''(0) = σ2.

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