(b) Consider the system of components connected as in the accompanying picture. Components 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. If components work independently of one another and P(component works) =.95. Evaluate P(system works).

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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(b)
Consider the system of components connected as in the accompanying picture.
4
Components 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. If components work
independently of one another and P(component works) =.95. Evaluate P(system works).
Transcribed Image Text:(b) Consider the system of components connected as in the accompanying picture. 4 Components 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. If components work independently of one another and P(component works) =.95. Evaluate P(system works).
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