(20 points) Given the following joint probabilities A Ac B 0.04 0.62 BC 0.01 0.33 (a) Find P(A) and P(B). (b) Find P(A B ) and P(B|A). (c) Find P(A or B ) and P(A and B). (d) Determine whether the events A and B are independent. (e) Determine whether the events A and B are mutually exclusive