Question: A call center has two servers and receives an average of 30 calls per hour, with each call having an average length of 1 minute.

A call center has two servers and receives an average of 30 calls per hour, with each call having an average length of 1 minute. The service times of the calls follow an exponential distribution. If both servers are busy, arriving calls are immediately rejected.

a. What is the probability that exactly 45 calls will arrive in two hours?

b. What fraction of the time will both servers be idle?

c. What fraction of the time will both servers be busy?

d. On average, how many servers will be busy?

e. On average, how many calls will be rejected?

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