A study-aid desk staffed by a graduate student has been established to answer students' quesetions and help in working problems in your OSM 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 the rate of four students per hour, and the distribution is approximately Possion. Assistants 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 b) Calculate the avergae number of students in the system c) Calculate the average time in the system d) Calculate the probability of four or more students being in line or being served. e) Before a test the arrival of students increases to six per hour on the average. What does this do to the average length of the line.