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Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed. with a mean of 1.1 hours per call. Requests for oopier repairs come in at a mean rate of 1.6 per eight-hour day {assume Poisson}. Determine the following: a. The average number of customers awaiting repairs. [Round your answer to 2 decimal places.) b. System utilization. {Round your answer'no 2 decimal places.) :3. The amount of time during an eighthour day that the repairman is not out on a call. {Round your answer to 2 decimal places.) Many ofa bank's customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months. customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution Each customer spends an average of 89 seconds oompleting his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, including waiting in line and completing transactions. {Do not round Intermediate calculations. Round your answer to the nearest whole number.) b. Determine the probability that a customer will not have to wait upon arriving at the automatic teller machine. {Round your answer to 2 decimal places.) :| c. Determine the average number of customers waiting to use the machine. [Round your answer to 2 decimal places.) A small town with one hospital has 2 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average 0.40 per hour and tend to be Poisson-distributed. Travel and assistance time averages 1.00 hours per call and follows an exponential distribution Use Table 13.4. a. Find system utilizaon. {Round your answer to the nearest whole percent.) _- b. Find the average number of customers waiting. [Round your answer to 3 decimal places.) c. Find the average time customers wait for an ambulanoe. [Round your answer to 3 decimal places.)