Find the mgf of X ∼ Exp(λ) and use results of Theorem 1.7 to obtain the mean and variance of X. The mean and the variance of a random variable X with a binomial probability distribution can be difficult to calculate directly. Whenever you compute an MGF, plug in t = 0 and see if you get 1. Moments provide a way to specify a distribution. That is, there is h>0 such that, for all t in h
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