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(Solution Library) Missouri's Stephen Allen Electronics Corporation retains a service crew to repair machine breakdowns that occur on average of λ=3 per

Question: Missouri's Stephen Allen Electronics Corporation retains a service crew to repair machine breakdowns that occur on average of $\lambda=3$ per 8 hour workday (approximately Poisson in nature). The crew can service an average of $\mu=8$ machines per workday, with 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 two machines are in the system?
What is the probability that exactly three are broken and waiting to be serviced?

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(Solution Library) Missouri's Stephen Allen Electronics Corporation retains a service crew to repair machine breakdowns that occur on average of λ=3 per

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