Abstract
In this paper we find the distribution of the area X of a randomly chosen triangle within a given triangle T. An extension of the classical Crofton technique is used in setting up a sequence of differential equations to obtain the desired distribution.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference2 articles.
1. What is the Expected Volume of a Simplex Whose Vertices are Chosen at Random from a Given Convex Body?
2. Alagar V. S. (1975) The Distribution of the Volume of Random Sets and Related Problems on Random Determinants. Ph.D. Thesis, McGill University, Montreal, Canada.
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