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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 Random Variable Models
Section 3.1: Probability Distribution Function
3.1. Can the following functions in Figures 3.41 (a), (b), (c) represent possible probability distribution
functions? Explain.
Figure 3.41: Possible probability distribution functions.
Solution: Figures (b) and (c) can be possible distributions, but Figure (a) cannot be because F (x) cannot
decrease in value as x increases.
16
3.2. Show that the expected value of a constant equals that constant.
Solution: Let the random variable, X, take a constant value, c. Then, the probabilit
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Publisher Resources

ISBN: 9781439849897