In Exercise 5.18, Y1 and Y2 denoted the lengths of life, in hundreds of hours, for components of types I and II, respectively, in an electronic system. The joint density of Y1 and Y2 is
The cost C of replacing the two components depends upon their length of life at failure and is given by C = 50 + 2Y1 + 4Y2. Find E(C) and V(C).
5.18 An electronic system has one each of two different types of components in joint operation. Let Y1 and Y2 denote the random lengths of life of the components of type I and type II, respectively. The joint density
(Measurements are in hundreds of hours.) Find P(Y1 > 1, Y2 > 1).
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