Solution of problem N11 probability theory

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11. The edge of the cube X is measured approximately, with 2≤x≤3. Considering the length of the edge of a cube as a random variable X distributed uniformly in the interval (2; 3), find the mathematical expectation and variance of the volume of the cube.

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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