Question

Prove or disprove the following.

(a) If EX > EY then P(X > Y ) > 0.

(b) Suppose that FX(x) and FY (y) are univariate cdfs. Is F(x, y) = max{FX(x), FY (y)} a legitimate bivariate cdf?

(c) Suppose that FX(x) and FY (y) are univariate cdfs. Is F(x, y) = min{FX(x), FY (y)} a legitimate bivariate cdf?

Answer 1

what have you tried?