# One mechanic services 5 drilling machines for a steel plate manufacturer. Machines break down on an average

## Question:

One mechanic services 5 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 6 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.

(a) On the average, how many machines are waiting for service?

(b) On the average, how many drills are in running order?

(c) How much would waiting time be reduced if a second mechanic were hired?

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