Question: 25. Let X be a random variable with cumulative distribution function F. If EIXI < 00, then J~ ooF(x) dx and JO'[1 - F(x)] dx

25. Let X be a random variable with cumulative distribution function F. If EIXI < 00, then J~ ooF(x) dx and JO'[1 - F(x)] dx are both finite. [Apply integration by parts to the two integrals.]

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