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Spring 2011 OR3510/5510
Problem Set 5
Reading: You should be browsing in Chapter 5 after memorizing Chapter 4.
Because of the upcoming prelim, do not hand this in. However, you are responsible for the
material.
1. The lifetime of a radio is exponentially distributed with a mean of ten years. If Jones buys
a tenyearold radio, what is the probability that it will be working after an additional ten
years?
2. The time
T
required to repair a machine is an exponentially distributed ran dom variable
with mean 1/2 hour.
(a) What is the probability that a repair time exceeds 1/2 hour?
(b) What is the probability that a repair takes at least 12 1/2 hours given that its duration
exceeds 12 hours?
3. A post oﬃce has two clerks. Three people, Ann, Bruce, and Charles, enter simultaneously.
Ann and Bruce go directly to the clerks, and Charles waits until either Ann or Bruce leaves
before he begins service. What is the probability that Ann is still in the post oﬃce after the
other two have left when
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This note was uploaded on 09/17/2011 for the course ORIE 3510 taught by Professor Resnik during the Spring '09 term at Cornell University (Engineering School).
 Spring '09
 RESNIK

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