Please answer part h. Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 2 every 10minutes. The average service time is 1.0 minutes. The Poisson distribution is appropriate for the arrival rate and service timesare negative exponentially distributed.a) The average time a car is in the system = 1.25 minutes (round your response to two decimal places).b) The average number of cars in the system = 0.25 cars (round your response to two decimal places).c) The average number of cars waiting to receive service = .00 cars (round your response to two decimal places).d) The average time a car is in the queue = .25 minutes (round your response to two decimal places).e) The probability that there are no cars at the window = .80 (round your response to two decimal places).f) The percentage of the time the postal clerk is busy = 20 % (round your response to the nearest whole number).g) The probability that there are exactly 2 cars in the system = .032 (round your response to three decimal places).h) If a second drive-through window, with its own server, were added, the average time a car is in the system =minutes(round your response to two decimal places).

The arrival rate is the rate at which the customers arrived at the system to get available services.…

Answered: h) If a second drive-through window,…

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Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

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Automobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.(Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system? What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customerreceiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?
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The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25 per hour. The service rate of the treatment to patients also follows Poisson distribution with a mean of 45 per hour.a) What is the probability of having 0 patients in the system (P 0 )?

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h) If a second drive-through window, with its own server, were added, the average time a car is in the system = minutes (round your response to two decimal places).