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17. A slow printer prints one le in 2 mins and the one le arrives at the printer

ID: 3366179 • Letter: 1

Question

17. A slow printer prints one le in 2 mins and the one le arrives at the printer every 2.5 mins.
What is the probability that a print job has to wait before printing? How long does it take on
average for a print job to be completed from the time it is sent to the printer?
Now consider two scenarios to speed up the printing job.
(a) In one case, you add another printer (in parallel) that is exactly the same as the one
you have. What is the probability that a print job has to wait before printing? How long

does it take on average for a print job to be completed from the time it is sent to the
printer?
(b) In another case, you replace the existing printer with one that can print a le half
the time on average (i.e., 1 min instead of 2 mins). What is the probability that a print
job has to wait before printing? How long does it take on average for a print job to be
completed from the time it is sent to the printer?

Explanation / Answer

a) required probability should be 1/4.5 =23 %.

b) required probability = 1/3.5= 29 %.

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