Arrivals to a flu shot clinic held by a local grocery store follow Poisson distribution with a mean of 10. Including paperwork, it takes eight minutes to complete the flu shot process once a person ' s turn comes up. Using Monte Carlo simulation:
a. Simulate the process for the first twenty persons arriving for flu shots.
b. Determine the average time in queue.
c. Determine the service utilization.
d. Determine the average time in the system.