Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN: 9781285444543
Author: Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher: Cengage Learning
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Transcribed Image Text:A student of operations research is preparing for the end-term examination. The hostel where
he stays is infected by mosquitoes, which are a constant source of distraction for him. While
studying the chapter on queuing theory, he realizes that the knowledge of queuing can help
him in identifying how many hours he has actually studied. He estimates that the rate at
which the mosquitoes invade his room follows a Poisson distribution with an arrival rate of
two mosquitoes per minute. He is able to squash the mosquitoes at a rate of ten mosquitoes
per minute. Determine the following:
a) The time that he spend in studies, if he studies for four hours at a stretch, without being
distracted by the mosquitoes.
b) The average number of mosquitoes in the system waiting to enter the room and those
getting squashed.
c) The probability that there are exactly two mosquitoes in the system.
d) The probability that a mosquito entering the room will not get squashed for 0.5 minute.
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