4. Let X, Y be iid Unif(0, 1) compute the correlation coefficient between max(X, Y) and min(X,Y). (A) -1/√2 (B) -1/2 (C) 1 MAT362 Fall 2023 (D) 1/2 (E) 1/√2 Exam 3 5. Let Y = f(X), where the function f is 1-to-1. Then which of the following is NOT true? (A) H(X|Y) = 0 (B) I(X,Y)= H(Y) (C) I(X,Y)= H(X) (D) H(Y|X) = 0 (E) H(X,Y)= 0

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