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Exercise: Nonmonotonic functions Suppose that X is a continuous random variable and that Y = X*. Then, fory > 0, we have fr (y) =

Exercise: Nonmonotonic functions

Suppose that X is a continuous random variable and that Y = X*. Then, fory > 0, we have fr (y) = ay fx (-cy) + aybfx (cy") , for some a, b, d, and some c > 0. Find a, b, c, and d. 0 = b = C= d =

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