3.13 Sale manager wants to estimate a probability that a car will be returned for a service during the warranty period. The following table shows a manager’s probability assessment for the number of returns.

Number of Returns (X) 0 1 2 3 4 Probability P(X) 0.28 0.36 0.23 0.09 0.04 Let A be the event “the number of returns will be more than two,” and let B be the event “the number of returns will be less than four.”

a. Find the probability of event A.

b. Find the probability of event B.

c. Find the probability of the complement of event A.

d. Find the probability of the intersection of events A and B.

e. Find the probability of the union of events A and B.