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Cars arrive at a drive-through pharmacy at the rate of 4 every 10 minutes. The average service time at the pharmacy window is 2 minutes.

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Cars arrive at a drive-through pharmacy at the rate of 4 every 10 minutes. The average service time at the pharmacy window is 2 minutes. The Poisson distribution is appropriate for the arrivals, and service times are exponentially distributed. Use the formulae for the M/M/1 queueing model to answer the following: (a) What is the average time a car is in the system (from the time it enters the pharmacy queue till it finishes service and exists)? (b) What is the average number of cars in the system? (c) What is the average number of cars waiting (in the queue) to receive service? (d) What is the average time a car is in the queue? (e) What is the probability that there are no cars at the window? (f) What percentage of the time is the serving pharmacist busy? (g) What is the probability that there are exactly 2 cars in the system

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