X and Y are independent random variables 'vit h CDFs

Chapter 6, Problem 6.54

(choose chapter or problem)

X and Y are independent random variables 'vit h CDFs Fx(1;) and Fy(y). Let U = min (X, Y) a nd V = max(X, Y). (a) What is Fu, v( '11,, v )? (b) vvhat is f u, v( 'IJ,, v)? Hint : To find t he joint CDF, let A = { U < 'll} and B = { V < v } a nd note t hat P[AB] = P[B] - P [_4c B].

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