There is only one copying machine in the student lounge of the business school. Students arrive at the rate of lambda = 50 students per hour. It takes each student a minute on average to make their copies. Compute:
(a) the percentage of time that the machine is used
(b) the average length of the queue
(c) the average time spent in the queue
(d) the average number of students in the system
(e) the average time each student spends in the system