Question: Suppose that the random variable X has a continuous distribution with c.d.f. F(x) and p.d.f. f. Suppose also that E(X) exists. Prove that Use the

Suppose that the random variable X has a continuous distribution with c.d.f. F(x) and p.d.f. f. Suppose also that E(X) exists. Prove that
Suppose that the random variable X has a continuous distribution

Use the fact that if E(X) exists, then

Suppose that the random variable X has a continuous distribution

rlinox[1-F(x)]= 0. E(X) limxf (x) dx.

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