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Cars arrive at a parking garage according to a Poisson process at a rate of 60 per hour and park there if there is space,
Cars arrive at a parking garage according to a Poisson process at a rate of 60 per hour and park there if there is space, otherwise they go away. The garage has the capacity to hold 75 cars. A car stays in the garage on average for 45 minutes. Assume that the times spent by the cars in the garage are iid exponential random variables. What fraction of the incoming cars are turned away in the steady state?
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