User:BRichtigen/Cauchy distribution
From Conservapedia
Imagine a two-headed arrow circling in a vertical plane around its center, which is fixed on a pole of length 1m. Almost always, one head will point to a line at the bottom of the pole. Measure the distances in one direction as positive, and in the other as negative. If you stop the arrow, it points to a real number. Stopping the arrow randomly yields a random number. This random number will follow the standard Cauchy distribution.
Alternatively: if U is a uniformly distributed random variable on [0, 2 π], then tan(U) is standard Cauchy distributed.
