Solve a and b thanks.

2. Two 6-sided dice are rolled and the two resulting values X and Y are multiplied together to form the quantity Z = X . Y. Also, denote the average value of X and Y as Z' = X+Y 2 (a) What are the expected value and the variance of the random variable Z? [Hint: Use the independence of the two separate dice.] (b) What are the expected value and the variance of the random variable Z