Question

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

Answer 1

1

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