Question: A mailing-machine department has 10 machines. The runtime until failure occurs on a machine is exponentially distributed with a mean of 20 hours. Repair times

A mailing-machine department has 10 machines. The runtime until failure occurs on a machine is exponentially distributed with a mean of 20 hours. Repair times are uniformly distributed between 3 and 7 hours.

Simulate a month (20 days, 8 hours a day) of operation and determine:

1. If there are two repair persons, estimate the average number of machines that are either running.

2. How many repair persons are needed to ensure that the mean number of working machines is greater than eight?

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