The expected length of a random line segment in a rectangle |
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| Authors: | Eric Rosenberg |
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| Affiliation: | AT&T Labs, Middletown, NJ 07748, USA |
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| 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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| Keywords: | Probability:Stochastic model applications Networks/graphs:theory Transportation:network models |
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