Question: A stenographer has five persons for whom he performs stenographic services. Arrival rates are adequately represented by the Poisson distribution, and ser vice times follow

A stenographer has five persons for whom he performs stenographic services.

Arrival rates are adequately represented by the Poisson distribution, and ser¬

vice times follow the negative exponential distribution. The arrival rate is five jobs per hour. The average service time is 10 minutes. Assume that once an individual assigns a job, she will not bring another job until the first is com¬

pleted.

a. Calculate the mean number in the waiting line.

b. Calculate the mean waiting time.

c. Calculate the mean number of units being served.

d. What is the probability that an individual bringing work to the stenographer will have to wait?

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