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Shkiper50 [21]
2 years ago
15

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]2 years ago
6 0

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

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