Question: 23. A telephone exchange has two long distance operators. It is observed that, during the peak load, long distance calls arrive in a Poisson fashion

23. A telephone exchange has two long distance operators. It is observed that, during the peak load, long distance calls arrive in a Poisson fashion at an average rate of 15 per hour. The length of service on these calls is approximately exponentially distributed with mean length of 5 minutes.

(i) What is the probability that a subscriber will have to wait for this long distance call during the peak hours of the day?

(ii) If the subscribers will wait and are serviced in tum, what is the expected waiting time?

(MBA, Delhi, 1998)

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