Consider a large system which consists of three separate components. These components are connected in "parallel" in the sense that the system will fail if and only if all the components fail. Another way to say this is that the system will succeed in working fine if any of its components are working. The first of these components works with a probability of 0.7; the second of these components works with a probability 0.6; finally, third component works with a probability of 0.7. What is the probability that the whole system works fine?

Consider a large system which consists of three separate components. These components are connected in "parallel" in the sense that the system will fail if and only if all the components fail. Another way to say this is that the system will succeed in working fine if any of its components are working. The first of these components works with a probability of 0.7; the second of these components works with a probability 0.6; finally, third component works with a probability of 0.7. What is the probability that the whole system works fine?

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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