Q. A study-aid desk staffed by a graduate student has been established to answer students' questions also help in working problems in your OSM course. The desk is staffed eight hrs per day. The dean needs to know explain how the facility is working. Statistics show which students arrive at the rate of four students per hour also the distribution is approximately Poisson. Assistants time averages 10 minutes, distributed exponentially. Assume population also line length can be infinite also queue discipline is FCFS. a) Compute the percentage utilization of the Graduate Student b) Compute the average number of students in the system c) Compute the average time in the system d) Compute 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. Illustrate what does this do to the average length of the line?