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Question 3.12: A bus is supposed to arrive at a given bus stop at 10:00 a.m......

A bus is supposed to arrive at a given bus stop at 10:00 a.m., but the actual time of arrival is a r.v. X which is uniformly distributed over the 16-minute interval from 9:52 to 10:08. If a passenger arrives at the bus stop at exactly 9:50, what is the probability that the passenger will board the bus no later than 10 minutes from the time of his/her arrival?

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