Question: solve the question below (3) Devore [2010] Consider a system consisting of three components as pictured. The system will continue to function as long as

solve the question below

(3) Devore [2010] Consider a system consisting of three components as pictured. The system will continue to function as long as the first component functions and either component 2 or component 3 functions. Let X1, X2, and X3 denote the lifetimes of components 1, 2, and 3, respectively. Suppose the Xy's are independent of one another and each X, has an exponential distribution with parameter 1. 2 1 3 (a) Let Y denote the system lifetime. Obtain the cumulative distribution function of Y and differentiate to obtain the pdf. [Hint: F(y) = P(Y

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