Virginia’s Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average (=3 per 8-hour workday (approximately Poisson in nature). The crew can service an average of (= 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?