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Automobiles arrive at the drive-through window at the downtown Baton Rouge, Loui

ID: 444550 • Letter: A

Question

Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 2 every 10 minutes. The average service time is 1.0 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. The average time a car is in the system = 1.25 minutes (round your response to two decimal places). The average number of cars in the system = 0.25 cars (round your response to two decimal places). The average number of cars waiting to receive service = 0.05 cars (round your response to two decimal places). The average time a car is in the queue = 0.25 minutes (round your response to two decimal places). The probability that there are no cars at the window = 0.80 (round your response to two decimal places). The percentage of the time the postal clerk is busy = 20% (round your response to the nearest whole number). The probability that there are exactly 2 cars in the system = 0.032 (round your response to three decimal places). 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).

Explanation / Answer

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