1) Suppose two fair dice are tossed. Find the expected value of the product of the faces showing.

2) Suppose that fx,y(x,y) = 2/3(x+2y), x and y are in [0,1]. Find Var(X+Y)

3) A gambler playsnhands of poker. If he wins thekth hand, he collectskdollars; if he loses the kth hand, he collects nothing. Let T denote his total winnings innhands. Assuming that his chances of winning each hand are constant and are independent of his success or failure at any other hand, find E(T) and Var(T).