One mechanic services 4 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 4 working days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of two 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.)