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One mechanic services five drilling machines for a steel plate manufacturer. Machines break down on an average of once every six working days, and breakdowns

One mechanic services five drilling machines for a steel plate manufacturer. Machines break down on an average of once every six working days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of one repair job per day. Repairs follow an exponential distribution.

  • How many machines are waiting for service, on average?
  • How many are in the system, on average?
  • How many drills are in running order, on average?
  • What is the average waiting time in the queue?
  • What is the average wait in the system?

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