Fast Eddie" Flournoy manages the service equipment division of Delta Airline's Atlanta terminal. He keeps a service crew on call to repair tow tractors that break down. Tractors break down on an average of three per day. The repair crew could service an average of 8 tractors per day. "Fast Eddie", a real math whiz, estimates that the occurrence of the failures is Poisson in nature and the repair time distribution resembles an exponential distribution.
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What is the utilization rate of this service system?
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What is the average down time for a broken tractor?
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What is the probability that there will be 2 down tractors in the system?
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If "Fast Eddie" observes that the on call crews are idle about 50% of the time is he safe in assuming that they are not doing their job? Why do you so state?