Problem 15. (2.5 %) Suppose X is uniformly distributed over [0,4] and Y is uniformly distributed over [0,1]. Assume X and Y are independent. Let Z = X+Y. Then
(A) fz(4.5) = 0
(B) fz(4.5)=1/8
(C)fz(4.5)= 1/4
(D) fz(4.5)=1/2

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