2. Suppose that S is a non-empty sample space and that A and B are subsets of S with P(A) 0.5, P(B) = 0.6, and P(A U B) = 0.8. (a) Are A and B independent? Explain your answer. (b) Are A and B mutually exclusive? Explain your answer. (c) Find P(A | B). (d) Find P( An Be)