Question: There is only one copying machine in the student lounge of the business school. Students arrive at the rate of =45 per hour (according to

There 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 45 seconds, or =80 per hour (according to a negative exponential distribution).

a) The percentage of time the machine is used = 56.25 percent (round your response to the nearest whole number).

b) The average length of the queue = 0.72 students (round your response to two decimal places).

c) The average number of students in the system = 1.29 students (round your response to two decimal places).

d) The average time spent waiting in the queue = 0.96 minutes (round your response to two decimal places).

e) The average time in the system = ? minutes (round your response to two decimal places).

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