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In: Statistics and Probability

Clients arrive at a law office with a single lawyer at a rate of 2.5 per...

Clients arrive at a law office with a single lawyer at a rate of 2.5 per hour. The lawyer takes an average of 10 minutes with each client. Assuming that arrivals are Poisson distributed and the legal service time is exponentially distributed, answer the following questions:

a.) Compute that answers for this problem using the first six queuing equations.

b.) Service goals for this law office dictate that an arriving client should not have to wait more than an average of 5 minutes to see the lawyer. Is this goal being met? Explain. If the goal is not being met, what do you recommend?

c.) If the lawyer can reduce the average time spent per customer to 8 minutes, what is the mean service rate? Will the service goal be met?

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