There is only one copying machine in the student lounge of t

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).

Solution

Average number of students in the system =

= 45 / (80-45)

= 1.2857 students

/(-)