Let A and B be two events from the same sample space with P(A) = 0.35 and P(B) = 0.70. (a) Is it possible that the events A and B are mutually exclusive? Fully justify your answer. (b) Suppose that P(A|B) = 0.2, find P(An B) (fully justify your answer analytically). (c) Is it possible that P(A|B) = 0.60? Justify your answer analytically