Let X and Y be two independent Ber XXXXXXXXXXrandom variables. Define random variables U and V by U = X + Y and V = |X − Y |. a. Determine the joint and marginal probability distributions of U and V ....

Let X and Y be two independent Ber ( 1 2 ) random variables. Define random variables U and V by

U = X + Y and V = |X − Y |.

a. Determine the joint and marginal probability distributions of U and V .

b. Find out whether U and V are dependent or independent