Consider a pair of fair six-sided dice. The numbers on the faces of each are 1, 2, 3, 4, 5, 6. Let X and Y be the outcomes on the dice when thrown simultaneously. Assume that X and Y are independent. Let Z = X - Y. 1. What are the sample spaces of X, Y and Z? 2. Compute E[X], E[Y] and E[Z]. 3. Compute Var(X), Var(Y) and Var(Z)