Question: To help students with homework and to answer students' doubts in your operations management course GWU may consider starting a help desk every saturday staffed

To help students with homework and to answer students' doubts in your operations management course GWU may consider starting a help desk every saturday staffed by your instructor .The working time of the help desk starts from 11:00 am to 7:00 pm. Statistics show that students arrive at a rate of five per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS.

Help your instructor by finding out the how the desk is working?(Show your work below and support your suggestion(s) with calculations)

1. Calculate the percentage utilization of the instructor

2. Calculate the average number of students in the line.

3. Calculate the average time in the system.

4. Calculate the probability of five or more students being in line or being served.

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