# solution

Save Virginia’s Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of 2 = 4 per 8-hour workday (approximately Poisson in nature). The crew can service an average of u = 6 machines per workday, with a repair time distribution that resembles the negative exponential distribution a) The utilization rate of this service system = 0.67 (round your response to two decimal places). b) The average downtime for a broken machine = 0.5 days (round your response to two decimal places). c) The average number of machines waiting to receive service at any given time = 1.33 machines (round your response to three decimal places). d) The probability that there is more than one machine that is in the system = 0.444 (round your response to three decimal places). The probability that there are more than two machines that are in the system = 0.296 (round your response to three decimal places). The probability that there are more than three machines that are in the system = 0.198 (round your response to three decimal places). The probability that there are more than four machines that are in the system (round your response to three decimal places).