18). Starting at 9: 00am, assengers arrive at a train station as a Poisson process with rate A = 2 per minute. The next train will depart at time T, where T is uniformly distributed between 9: 10am...

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Extracted text: 18). Starting at 9: 00am, assengers arrive at a train station as a Poisson process with rate A = 2 per minute. The next train will depart at time T, where T is uniformly distributed between 9: 10am and 9: 15am. Compute the mean waiting time for a passenger at the station before the train departs. [Hint: condition on T and N(T), the number of passengers who depart on the train]. I Answer: 6 mins 15 sec.