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 fxy(x,y) of X and Y on its support. (b) The expression for the joint probability density function of the transformed random variables U = 6 X + Y and V = 6 X + 2 Y on its support is: fulu,v) = A u® (C v + D)E Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)? O 1, 2, 3, 4, 5 O 1/6, 1, 1.00, 1, -2 о 1/6, 1, 1.00, 1, 2 О 6, 1, 1.00, 1, -2 O 17,0,0, 1, 1 none of these answers is correct.

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