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Oasis Corporation has a maintenance department that handles repair of electronic devices. The average rate of...

  1. Oasis Corporation has a maintenance department that handles repair of electronic devices. The average rate of arrival of machines for repair, follow a Poisson distribution and occur at the rate of 3 per day. The maintenance department can handle 4 machines per day on average. The repair times follow an exponential distribution.
    1. What is the utilization rate of the service system?
    2. What is the average down time for a machine that is broken?
    3. How many machines are waiting to be serviced at any given time?
    4. What is the probability that more than one machine is in the system?
    5. What is the probability that more than two are broken and waiting to be repaired or being services? More than three? More than four?
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