70 An experiment results in one of three mutually exclusive events A , B , and C . It is known that P1A2 = .30, P1B2 = .55, and P1C2 = .15, Find each of the following probabilities:

a. P1A ∪  B2

b. P1A ∩ B2 )

c. P1AB2

d. P1B ∪  C2 )

e. Are B and C independent events? Explain.