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

lambdaequals$=5050$

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

$5050$

$$seconds$,$ or

muequals$=7272$

per hour$($according to a negative exponential$$ distribution$).$

Part $2$

$$a$)$ The percentage of time the machine is used$=$

$6969$

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

Part $3$

$$b$)$ The average length of the queue$=$

enter your response here

students$($round your response to two decimal$$ places$).$