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Probabilistic Models for Dynamical Systems, 2nd Edition
book

Probabilistic Models for Dynamical Systems, 2nd Edition

by Haym Benaroya, Seon Mi Han, Mark Nagurka
May 2013
Intermediate to advanced content levelIntermediate to advanced
764 pages
6h 43m
English
CRC Press
Content preview from Probabilistic Models for Dynamical Systems, 2nd Edition
3.23. In Example 3.14, another design offers two pumps in parallel in the pipe. As in the example, each
has a mean time to failure of 1000 hr governed by an exponential density. State any assumptions, and
calculate the probability that both pumps will survive the first 200 hr of operation.
Solution: In Example 3.14, we found that the probability that one pump will fail in 200 hours is 0.1813.
The probability that the same pump will survive the first 200 hours is 1 0.1813 = 0.8187. The probability
that both pumps, assuming that one pump does not affect the other, will survive the first 200 hours is
0.8187
2
= 0.6703.
51
Section 3.8: Two Random Variables
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Publisher Resources

ISBN: 9781439849897