Question: 1.Problem 14.12 Determine the moment-generating function of the random variable X having as density function the so-called Laplace density function f (x) = 1 2

1.Problem 14.12 Determine the moment-generating function of the random variable X having as density function the so-called Laplace density function f (x) = 1 2

ae−a|x| for −∞ < x < ∞, where a is a positive constant. Use the moment-generating function of X to find E(X) and var(X).

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