Question: 19 Let X be a continuous random variable with probability density function f. Show that if E(X) exists; that is, if x f(x) dx <

19 Let X be a continuous random variable with probability density function

f. Show that if E(X) exists; that is, if x f(x) dx < o, then lim x P(X x) = lim xP(X>x) = 0. x-x

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