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Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.76 for i = 1, 2 and = 0.67 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 3 1 2 4

Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.76 for i = 1, 2 and = 0.67 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 3 1 2 4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 42E
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Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.76 for i = 1, 2 and = 0.67 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 3 1 2 4
Transcribed Image Text:Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.76 for i = 1, 2 and = 0.67 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 3 1 2 4
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