3.54 An experiment results in one of three mutually exclusive events, A, B, or C. It is known that P(A) = .30,P(B) = .55, and P(C) = .15. Find each of the following probabilities: a. P(A U B) b. P(A n C) c. P(A|B) d. P(B U C) e. Are B and C independent events? Explain