Question: Problem 6 Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 24 cars per hour. The

Problem 6 Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 24 cars per hour. The average service rate is 30 cars per hour. The Poisson distribution is appropriate for the arrival rate and service times are negative exponentially distributed. 1) What is the average time a car is in the system? 2) What is the average number of cars in the system? 3) What is the average number of cars waiting to receive service? 4) What is the average time a car is in the queue? 5) What is the probability that there are no cars at the window? 6) What percentage of the time is the postal clerk busy? 7) What is the probability that there are more than 2 cars in the system? 5

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