Virginias Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average

Question:

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

What is the utilization rate of this service system?

What is the average downtime for a broken machine?

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

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?

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