Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 1.6 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson).

a. Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.)

Number of customers   

b. Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.)

System utilization %

c. Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Use your rounded answer from Part b. Round your answer to 2 decimal places.)

Amount of time hours

d. Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Probability