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