Two people are to meet in the park each person is equally, Mathematics

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Two people are to meet in the park each person is equally

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?

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