Question: Q2. Consider a telephone system with three lines. Calls arrive according to a Poisson process at mean rate of 6 per hour. The duration of

Q2. Consider a telephone system with three lines. Calls arrive according to a Poisson process at mean rate of 6 per hour. The duration of each call has an exponential distribution with a mean of 15 minutes. If all lines are busy, calls are put on hold until a line becomes available. (a) What is the percentage of calls are answered immediately (not put on hold)? Explain your answer. (b) What is the percentage of calls that are put on hold for more than 10 minutes? Explain your answer. Hint: Note that formula P(Wq > t) = (1 P(Wq = 0))*e^(s*(1)t) in multi-server case.

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