### Finding average time in system

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##### Reference no: EM1382335

Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the parking facility has a policy that the average time a patron spends in a queue waiting to pay for parking is not to exceed 5 seconds. If the time required to pay for parking is exponentially distributed with a mean of 15 seconds, find the average time in system.

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