Question: QUESTION 4 One mechanic services 10 drilling machines for a steel plate manufacturer. Each machines goes an average of seven working days before breaking down,

QUESTION 4 One mechanic services 10 drilling

QUESTION 4 One mechanic services 10 drilling machines for a steel plate manufacturer. Each machines goes an average of seven working days before breaking down, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of one repair job per day. Repair times follow an exponential distribution. a. On average, how many drilling machines are waiting for service in the queue)? (round to one decimal) b. On average, how many drilling machines are in running order? (round to one decimal) c. How much would wait time in the queue) be reduced if a second mechanic were hired? (in hours, rounded to one decimal)

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