Question: Cars arrive at two drive-through windows at a post office at the rate of 4 every 10 minutes. The average service time is 2 minutes.

Cars arrive at two drive-through windows at a

Cars arrive at two drive-through windows at a post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. A single line would be formed and as a car reached the front of the line it would go to the next available clerk. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. Both clerks work at the same rate. (a) Compute the probability that there are no cars in the system? (b) Compute the average number of cars in the system? (C) Compute the average number of cars in the line behind the customer receiving service? I (d) Compute the average time a car spends waiting to receive service? (e) Compute the average time spent by a car is in the system? (1) What percentage of time are the clerks busy

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