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There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=50per hour​ (according to a Poisson​ distribution). Copying takes an average of 50 ​seconds, or μ=72 per hour​ (according to a negative exponential​ distribution).​a) The percentage of time the machine is used​ = _______ percent​ (round your response to the nearest whole​number).

Respuesta :

Answer:

The percentage of time the machine is used​ is 69.44%

Explanation:

According to the given data we have the following:

Arrival rate = λ=50 per hour

Service rate = μ=72 per hour​

a)  Therefore, in order to calculate The percentage of time the machine is used we would have to make the following calculation:

The percentage of time the machine is used​=  λ/ μ

The percentage of time the machine is used​=50/72

The percentage of time the machine is used​= 0.6944 = 69.44%

The percentage of time the machine is used​ is 69.44%

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