Suppose that X and Y are statistically independent and identically distributed uniform random variables on (0,1).(a) Write down the joint probability density function fx,y(x,y) of X and Y on its support.(b) The expression for the joint probability density function of the transformed random variables U=5X+Y and V=3X+2 Y on its support is:fu,v(u,v) = Au³ (C + D)EWhich values of the constants A, B, C, D, E are correct (in the same order as they appear here)?○ 1,8,1,8,1○ none of the answers is correctThe joint probability density is constant on its support, hence B-C=0 and D=E=1, and A following from normalization.○ 1/3, 1, 1.67, 1, -2O 1/3, 1, 1.67, 1, 23, 1, 1.67, 1, -2

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A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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