2016年2月16日 星期二

[Question] the expected distance between two random points in a unit square

Assuming that two points are choosen randomly (with uniform distribution) within a rectangle, it is possible to determine the expected value of the distance between these two points.

For example, the expected distance between two random points in a unit square is about 0.521405, while the expected distance between two random points in a rectangle with side lengths 2 and 3 is about 1.317067.


如何計算?

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