Question: 7. Suppose a random variable X has the p.d.f. f(x) given by f(x) = e x, x>0, > 0 Find the m.g.f. of the

7. Suppose a random variable X has the p.d.f. f(x) given by f(x) = λe

−λx, x>0, λ > 0 Find the m.g.f. of the random variable X and use your result to find the mean μ

and the variance σ2 of the random variable X.

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