In all parts of this problem, assume that we are using fair,
regular dice (six-sided with values 1, 2, 3, 4, 5, 6 appearing
equally likely). Furthermore, assume that all dice rolls are
mutually independent events.
(a) [4 pts] You roll two dice and look at the sum of the faces
that come up. What is the expected value of this sum? Express your
answer as a real number.
(b) [7 pts] Assuming that the two dice are independent,
calculate...