1st-exam-B-Sols(2) - Course: Simulation Professor: Dr Lino...

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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 one-sheet self-prepared 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 ink-jet printers are rejected at the inspection station. Find the probability that the first acceptable ink-jet 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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1st-exam-B-Sols(2) - Course: Simulation Professor: Dr Lino...

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