The expected length of a random line segment in a rectangle

The expected length of a random line segment in a rectangle

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Article ID: iaor20043306
Country: Netherlands
Volume: 32
Issue: 2
Start Page Number: 99
End Page Number: 102
Publication Date: Mar 2004
Journal: Operations Research Letters
Authors:
Abstract:

We calculate the expected length of a random line segment in a rectangle, using a line making a random angle with the horizontal axis and having a random distance to a corner of the rectangle. Our result differs from previous calculations based upon two randomly placed points, and can be viewed as extending Bertrand's paradox to an important problem in geometric probability.

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