A fair four-sided die has two faces numbered 0 and two faces
numbered 2. Another fair four-sided die has its faces numbered 0,
1, 4, and 5. The two dice are rolled. Let X and Y
be the respective outcomes of the roll. Let W = X
+ Y.

(a) Determine the pmf of W.
(b) Draw a probability histogram of the pmf of
W.