An industrial system has four components (A, B, C and D) such that the system will work if A works, and either B, C or D works. The reliabilities of the components are 0.92 for A, 0.96 for B, 0.88 for C and 0.94 for D. A. Find the probability that the system will work. B. Find the probability that B works given that the system works. C. Find the probability that B, C and D work given that the system works

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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An industrial system has four components (A, B, C and D) such that the system will work if A works, and either B, C or D works. The reliabilities of the components are 0.92 for A, 0.96 for B, 0.88 for C and 0.94 for D. A. Find the probability that the system will work. B. Find the probability that B works given that the system works. C. Find the probability that B, C and D work given that the system works.
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