# Question: Show that if a random variable has the probability density f x

Show that if a random variable has the probability density

f(x) = 1/2 e–|x| for –∞ < x < ∞

Its moment-generating function is given by

f(x) = 1/2 e–|x| for –∞ < x < ∞

Its moment-generating function is given by

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