There is only one copying machine in the student lounge of the business school. Students arrive at the rate of lambda=50 per hour? (according to a Poisson? distribution). Copying takes an average of 45 ?seconds, or mu=80 per hour? (according to a negative exponential? distribution). ?a) The percentage of time the machine is used? = nothing percent? (round your response to the nearest whole? number). ?b) The average length of the queue? = nothing students? (round your response to two decimal? places). ?c) The average number of students in the system? = nothing students? (round your response to two decimal? places). ?d) The average time spent waiting in the queue? = nothing minutes? (round your response to two decimal? places). ?e) The average time in the system? = nothing minutes