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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$=$

enter your response here

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