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. Answer: (b) The expression for the joint probability density function of the transformed random variables U = 10 X + Y and V=6X+2 Y on its support is: fu,v(u, v)=A³ (Cv+ D) E Which values of the constants A, B, C, D, E are correct (in the same order as they appear here)? O 17, 0, 0, 1, 1 O 1/6, 1, 1.67, 1, -2 O 2, 4, 6, 8, 10 O 1/6, 1, 1.67, 1, 2 none of these answers is correct. O 6, 1, 1.67, 1, -2

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