Решение задачи N11 теория вероятностей

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.

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