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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Statistics and Probability Question

A complex electronic system is built with a certain number of backup components in its subsystems. One
subsystem has four identical components, each with a probability of 0,2 of failing in less than 1000 hours. The
subsystem will operate if any two of the four components are operating. Assume that the components operate
independently (please use comma and your answer 4 decimal places.)
-Find the probability that exactly two of the four components last longer than 1000 hours?
-Find the probability that the subsystem operates longer than 1000 hours?
Transcribed Image Text:A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0,2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components operate independently (please use comma and your answer 4 decimal places.) -Find the probability that exactly two of the four components last longer than 1000 hours? -Find the probability that the subsystem operates longer than 1000 hours?
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