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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
Section 2.2: Probability
2.21. Consider Figure 2.8 where d
av
= 50 mm and 50 shafts are manufactured. From the measurements
we observe that
25 have the diameter d
av
10 have the diameter 1.01 d
av
6 have the diameter 1.02 d
av
5 have the diameter 0.99 d
av
4 have the diameter 0.98 d
av
.
Sketch the frequency diagram showing appropriate numbers along the axes. Using the frequency inter-
pretation for probability, calculate the probability of occurrence for each shaft size and verify that the
sum of these probabilities equals 1.
Solution: We are given that d
av
= 50 mm and the number of shafts manufactured is 50. Also, the following
measurements are observed:
25 ha ...
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Publisher Resources

ISBN: 9781439849897