Let A be an event that a person's primary method of transportation to and from work is an automobile and B be an event that a person's primary method of transportation to and from work is a bus. Suppose that in a large city P(A) = 0.45 and P(B) = 0.35.
a. Are events A and B mutually exclusive? What is the probability that a person uses an automobile or a bus in going to and from work?
b. Find the probability that a person's primary method of transportation is some means other than a bus.