There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour​ (according to a Poisson​ distribution). Copying takes an average of 40...

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of  λ=40 per hour​ (according to a Poisson​ distribution). Copying takes an average of 40 ​seconds, or μ=90 per hour​ (according to a negative exponential​ distribution).  ​a) The percentage of time the machine is used​ = 4444  percent​ (round your response to the nearest whole​ number).
​The average length of the queue​ = 35.35 students​ (round your response to two decimal​ places).The average number of students in the system​ = 0.80 students​ (round your response to two decimal​ places).The average time spent waiting in the queue​ = 0.53minutes​ (round your response to two decimal​ places).
The average time in the system​ =   minutes​ (round your response to two decimal​ places).