Select an (even) integer randomly from the set {0, 2, 4, 6, 8}. Then select an integer randomly from the set {0, 1, 2, 3, 4}. Let X equal the integer that is selected from the first set and let Y equal the sum of the two integers. a) Show the joint p. m.f. of X and Y on the space of X and Y.
b) Compute the marginal p. m.f.'s.
c) Are X and Y independent? Why or why not?