The lifetime of a certain component, in years, has probability density function f(x) = Two such components, whose lifetimes are independent, are available. As soon as the first component fails, it is replaced with the second component. Let X denote the lifetime of the first component, and let Y denote the lifetime of the second component. Find the joint probability density function of X and Y. a. Find P(X < land Y > 1). Find Hx. b. C. Find µx+Y• d. Find P(X + Y < 2). e.

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