Abstract
A needle of length l dropped at random on a grid of parallel lines of distance d apart can have multiple intersections if l > d. The distribution of the number of intersections and approximate moments for large l are derived. The distribution is shown to converge weakly to an arc sine law as l/d→∞.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference5 articles.
1. Theorie und Anwendung der Unendlichen Reihen
2. Geometric probability and the number p;Gridgeman;Scripta Mathematica,1960
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