Question

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ = 45 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds, or u-90 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used 50 percent (round your response to the nearest whole number). b) The average length of the queue students (round your response to two decimal places).

Answer 1

Answer:Answer:

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

Step-by-step 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%