There is only one copying machine in the student lounge of the business school. Students arrive at the rate of = 40 per hour (ac

Question

2 years ago

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There is only one copying machine in the student lounge of the business school. Students arrive at the rate of = 40 per hour (ac

cording to a Poisson distribution). Copying takes an average of 40 seconds (according to an exponential distribution). What is the percentage of the time that the machine is used?

Mathematics

1 answer:

ololo11 [35] · Answer 1 · 2022-09-27T19:11:11+03:00

Answer:

1

Step-by-step explanation:

Given the following :

Rate of arrival = 40 ( poisson distribution)

Average copying time = 40 seconds (according to an exponential distribution)

Number of machines available = 1

Percentage of time machine is used is Hence ;

Rate of arrival / (Average copying time × number of machines)

40 / (40 × 1)

= 40 / 40

= 1