The poisson distribution isappropriate for the arrival rate, Ask an Expert

Management Studies

Automobiles arrive at the drive-through window at the downtownUrbana, Illinois post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution isappropriate for the arrival rate and service times areexponentially distributed. (Show work on all parts please).

1) what is the average time the car is in the system? (Show work please)
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 teh average time of a car is in the que?
5) What percentage of the time is the postal clerk busy?
6) What is the probability that there are exactly 2 cars in the system?
7) What would be the reduced amount of time should a second drive-through with its own teller were added

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Operation Management, Management Studies

Category:- Operation Management
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