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Suppose that the random variable X has a continuous dist

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Suppose that the random variable X has a continuous distribution with c.d.f.F (x). Suppose also that Pr(X ? 0) = 1 and t

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Suppose that the random variable X has a continuous distribution with c.d.f.F (x). Suppose also that Pr(X ? 0) = 1 and that E(X) exists. Show that E(X) =  ? 0 [1 ? F (x)] dx. Hint: You may use the result proven in Exercise 1

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