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RZMCM
School of Engineering
Department of Industrial Engineering
Course: Simulation
Professor: Dr Lino AA Notarantonio
First Exam –
B
Name
ID:
Grade:
You may use a onesheet selfprepared formulary, which
may not
be lent to anybody. You
may not ask questions
about
the solution offered. All answers must be justified. You may not speak neither communicate in any form with one another
during the whole duration of the exam. Doing so will imply disciplinary actions, according to the regulations in force at
this institution.
1.
(
15 points
) Forty percent of the assembled inkjet printers are rejected at the inspection station.
Find the probability that the first acceptable inkjet printer is the fifth one inspected.
Solution
The random variable associated is a Bernoulli trial, in which
0.60
p
and
0.40
q
.
Use the geometric distribution and the desired probability is
4
(5)
(0.4) (0.60)
p
.
2.
(
15 points
) Arrivals at a toll booth follow a Poisson distribution with mean 144 per hour. What
is the probability of having more than three arrivals in the next ten minutes?
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 Spring '11
 kevinsmith
 Industrial Engineering

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