here is only one copying machine in the student lounge of the business school. Students arrive at the rate of

=45

per hour (according to a Poisson distribution). Copying takes an average of

40

seconds, or

=90

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).

per hour (according to a negative exponential distribution).

1. The percentage of time the machine is used =

percent (round your response to the nearest whole number).

b) The average length of the queue =

students (round your response to two decimal places).

c) The average number of students in the system =

students (round your response to two decimal places).

d) The average time spent waiting in the queue =

minutes (round your response to two decimal places).

e) The average time in the system =

minutes (round your response to two decimal places).

PLEASE SHOW YOUR WORK THANNK YOU!