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One mechanic services 7 drilling machines for a steel plate manufacturer. Machines break down on an...

One mechanic services 7 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 3

working​ days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of three repair jobs per day. Repairs follow a negative exponential distribution.

​a) On the​ average, how many machines are waiting for​ service? The average number of machines waiting for service is

__. ​(Round your response to three decimal​ places.)

​b) On the​ average, what is the waiting time to be​ serviced? The average waiting time to be serviced is ___ days. ​(Round your response to two decimal​ places.)

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