Question: [40 pts] 3. X and Y are iid random variables with (0, 9). If U = ax + b (a and b are constants) and

[40 pts] 3. X and Y are iid random variables with (0, 9). If U = ax + b (a and b are constants) and V = X + Y, determine a, E[X|Y = 3]. b. write the PDF of Y in the form (ur, op). C. Pxv, the correlation coefficient of X and V. d. give the expression for the joint PDF of X and V

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