Assignment:
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 a negative exponential distribution.
a) On the average, how many machines are waiting for service?
b) On the average, what is the waiting time to be serviced?
Provide complete and step by step solution for the question and show calculations and use formulas.