16 Podunk University Operations Research Department has two phone lines. An average of 30 people per hour

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16 Podunk University Operations Research Department has two phone lines. An average of 30 people per hour try to call the OR Department, and the average length of a phone call is 1 minute. If a person attempts to call when both lines are busy, he or she hangs up and is lost to the system. Assume that the time between people attempting to call and service times is exponential.

a What fraction of the time will both lines be free?

What fraction of the time will both lines be busy? What fraction of the time will exactly one line be free?

b On the average, how many lines will be busy?

c On the average, how many callers will hang up each hour?

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