If Y denotes the length of life of a component and F(y) is the distribution function of

Chapter 6, Problem 6.108

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If Y denotes the length of life of a component and F(y) is the distribution function of Y , then P(Y > y) = 1F(y)is called the reliability of the component. Suppose that a system consists of four components with identical reliability functions, 1 F(y), operating as indicated in Figure 6.10. The system operates correctly if an unbroken chain of components is in operation between A and B. If the four components operate independently, find the reliability of the system in terms of F(y). A C B 1 C2 C3 C4

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