Discuss the below in detail:
A crew of mechanics at the San Jose Transportation Department garage repair vehicles that break down at an average of ë= 7.5 vehicles per day (Poisson Distribution). The crew under the supervision of the VTA city manager can service an average of ì= 10 vehicles per day with a repair time distribution that approximates an exponential distribution.
You have been hired as a consultant and the Transportation Department city manager wants answers to the following questions:
What is the utilization rate for the service system?
What is the average time before the facility can return broken vehicle to service?
How much of the time is spent waiting for service?
How many vehicles are likely to be in the system at any one time?