There is only one copying machine in the student lounge of the business school.

Question

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of lambda = 45 per hour (according to a Poisson distribution). Copying takes an average of 45 seconds, or mu = 80 per hour (according to an exponential distribution). The percentage of time the machine is used = 56 percent (round your response to the nearest whole number). The average length of the queue = 0.72 students (round your response to two decimal places). The average number of students in the system = students (round your response to two decimal places).

Explanation / Answer

Average number of students in the system =

= 45 / (80-45)

= 1.2857 students

/(-)

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