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2. You want to buy a special handcrafted square box. Since each box is uniquely handcrafted and you did not bring you ruler, you are

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2. You want to buy a special handcrafted square box. Since each box is uniquely handcrafted and you did not bring you ruler, you are not sure of the exact dimensions. Let X be the length of one of the sides, and assume that X is uniformly distributed between 15 and 18 inches. a) What is the expected volume of the box that you buy? b) What is the standard deviation of the volume of the box

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