• D.8 Virginia’s Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average l 5 3 per 8-hour workday (approximately Poisson in nature). The crew can service an average of m 5 8 machines per workday, with a repair time distribution that resembles the negative exponential distribution.

a) What is the utilization rate of this service system?

b) What is the average downtime for a broken machine?

c) How many machines are waiting to be serviced at any given time?

d) What is the probability that more than 1 machine is in the system?

The probability that more than 2 are broken and waiting to be repaired or being serviced? More than 3? More than 4?