An average of 12 jobs per hour arrive at our departmentalprinter.a Use two different computations (one involving thePoisson and another the exponential random variable) todetermine the probability that no job will arrive duringthe next 15 minutes. b What is the probability that 5 or fewer jobs will ar-rive during the next 30 minutes?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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An average of 12 jobs per hour arrive at our departmental
printer.
a Use two different computations (one involving the
Poisson and another the exponential random variable) to
determine the probability that no job will arrive during
the next 15 minutes.

b What is the probability that 5 or fewer jobs will ar-
rive during the next 30 minutes?

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