A post office serves customers in a single line at one service window. During peak periods, the rate of arrivals has a Poisson distribution with an average of 100 customers per hour and service times that are exponentially distributed with an average of 60 seconds per customer. From this, one can conclude that the:
A. Queue will expand to infinity.
B. Server will be idle one-sixth of the time.
C. Average rate is 100 customers per hour.
D. Average customer waiting time is 2.5 minutes.
Answer:A
A post office serves customers in a single line at one service window. During peak periods, the rate of arrivals has a Poisson distribution with an average of 100 customers per hour and service times that are exponentially distributed with an average of 60 seconds per customer. From this, one can conclude that the:
A. Queue will expand to infinity. B. Server will be idle one-sixth of the time. C. Average rate is 100 customers per hour. D. Average customer waiting time is 2.5 minutes.