1. What is the average length of a line inside the unit square? Verify your answer by generating…

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1. What is the average length of a line inside the unit square? Verify your answer by generating ten million random lines in the unit square and averaging their lengths.

2. What is the average length of a line inside the unit cube? Verify your answer by generating ten million random lines in the unit cube and averaging their lengths.

3. Show from the definition of variance that V (x) = E(x2) − [E(x)]2