Arrival rate of cars follows a poisson distribution

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A dry cleaner has a single drive-thru window for customers. The arrival rate of cars follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is 16 per hour and the average service time is three minutes. If the dry cleaner wants to accommodate (have enough room for) All of the waiting cars at least 96 percent of the time, how many car-lengths should they make the driveway leading to the window?

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