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 = 8 X + 2 Y on its support is: fu, v ( u, v ) = A LB ( 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 1/8, 1, 1.25, 1, -2 O 8, 1, 1.25, 1, -2 O 1/8, 1, 1.25, 1, 2 O 17, 0, 0, 1, 1 none of these answers is correct. O 2, 4, 6, 8, 10