Please assist with parts B-D and show work.

A study aid desk staffed by a graduate student has been established to answer students questions and help in working problems in your OSCM course. The desk is staffed eight hours per day. The dean wants to know how the facility is working Statistics show that students arrive at a rate of four per hour and the distribution is approximately Poisson Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS a. Calculate the percentage utilization of the graduate student (Round your answer to 1 decimal place.) Utilization of the graduate student 667 b. Calculate the average number of students in the system, including the graduate student service desk (Round your answer to the nearest whole number.) Average number of students c. Calculate the average time in the system. (Round your answer to the nearest whole number.) Average time in the system minutes d. Calculate the probability of four or more students being in tine or being served (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) Probability