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3. (10pts) Let X be a nonnegative continuous random variable with tail probability P(X > >) = pe + (1 - p)e ux, x

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3. (10pts) Let X be a nonnegative continuous random variable with tail probability P(X > >) = pe \\ + (1 - p)e ux, x > 0, where p E [0, 1], > > 0, and u > 0 are given constants. Calculate E( X]

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