Question

A telephone exchange has two long distance operators. The telephone company finds that during the peak load, long distance calls arrive in a Poisson fashion at an average rare of 15 per hour. The length of service on these calls is approximately exponentially distributed with mean length 5 minutes. (i) What is the probability that a subscriber will have to wait for his long distance call during the peak hours of the day? And (ii) If the subscribers will wait and are serviced in turn, what is the expected waiting time?

          A telephone exchange has two long distance operators. The
telephone company finds that during the peak load, long distance
calls arrive in a Poisson fashion at an average rare of 15 per
hour. The length of service on these calls is approximately
exponentially distributed with mean length 5 minutes. (i) What is
the probability that a subscriber will have to wait for his long
distance call during the peak hours of the day? And (ii) If the
subscribers will wait and are serviced in turn, what is the
expected waiting time?

Added by Connie S.

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