Let X1, X2, X3 be independent and identically distributed continuous random variables. Compute
(a) P{X1> X2| X1 > X3];
(b) P{X1> X2|X1 < X3};
(c) P{X1> X2|X2 > X3};
(d) P{X1> X2|X2 < X3}.
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