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Arrival times. Imagine you live in ancient times, before telephones. In each of the following, you...

Arrival times. Imagine you live in ancient times, before telephones. In each of the following, you plan to meet a friend, and your arrival times are independent random variables. For each situation, compute the probability you end up meeting each other. (a) Each of you arrives at your meeting spot at an independent uniformly distributed time between 8 and 9 pm, and wait for 20 minutes. (b) Each of you arrives at an independent exponentially distributed time (with rate1/hour) after 8pm, and waits 1 hour.

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