Trains headed for destination A arrive at the trainstation

Chapter 5, Problem 5.10

(choose chapter or problem)

Trains headed for destination A arrive at the trainstation at 15-minute intervals starting at 7 A.M.,whereas trains headed for destination B arrive at15-minute intervals starting at 7:05 A.M.(a) If a certain passenger arrives at the station ata time uniformly distributed between 7 and8 A.M. and then gets on the first train thatarrives, what proportion of time does he orshe go to destination A?(b) What if the passenger arrives at a time uniformlydistributed between 7:10 and 8:10A.M.?

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