Question content area

Part $1$

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of lambdaequals$45$

per hour$($according to a Poisson$$ distribution$).$ Copying takes an average of $50$seconds$,$ or muequals$72$ per hour$($according to a negative exponential$$ distribution$).$

Part $2$

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

$$

$63$ 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$).$