Consider a universe where Netflix has exactly 6 shows numbered 1, . . . , 6, and let Ei denote the simple event that a randomly selected viewer watches show i (i = 1, . . . , 6). Suppose that:

P(E1) = P(E6) = .10, P(E2) = P(E5) = .15, P(E3) = P(E4) = .25.

Define events A, B, C by

A = {2, 4, 6}, B = {1, 2, 3}, C = {2, 3, 4, 5}, D = {1, 3, 5}.

a) Are A and B dependent or independent? Why or why not?

b) Are A and C dependent or independent? Why or why not?

c) Are A and D dependent or independent? Why or why not?