Consider the system of components connected as in the accompanying picture. Compo- nents 1 and 2 are connected in parallel, so that subsystem works iff either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works iff both 3 and 4 work. Sup- pose the components work independently of one another with probabilities p1, p2, p3, and p4:
Consider the system of components connected as in the accompanying picture. Compo- nents 1 and 2 are connected in parallel, so that subsystem works iff either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works iff both 3 and 4 work. Sup- pose the components work independently of one another with probabilities p1, p2, p3, and p4:
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the system of components connected as in the accompanying picture. Compo-
nents 1 and 2 are connected in parallel, so that subsystem works iff either 1 or 2 works;
since 3 and 4 are connected in series, that subsystem works iff both 3 and 4 work. Sup-
pose the components work independently of one another with probabilities p1, p2, p3,
and p4:
(a) Find the
(b) Calculate this probability for p1 = p2 = .9 and p3 = p4 = .8
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