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Suppose that the random variable X has the uniform distr

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Suppose that the random variable X has the uniform distribution on the interval [0, 1], that the random variable Y has t

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Suppose that the random variable X has the uniform distribution on the interval [0, 1], that the random variable Y has the uniform distribution on the interval [5, 9], and that X and Y are independent. Suppose also that a rectangle is to be constructed for which the lengths of two adjacent sides are X and Y . Determine the expected value of the area of the rectangle.

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