Two people are to meet in the park. Each person is equally likely toarrive, independent of the other, at 2:00, 2:30, or 3:00 p.m. Let X equalthe time that the first person to arrive has to wait, where X is taken toequal 0 if both people arrive at the same time.
(a) What are the possible values of X?
(b) What are the probabilities that X assumes each of these values?