Abstract
We solve a problem proposed by V. Klee (1969). He asked for a calculation of κ, the expected value of V, the volume of a daughter tetrahedron whose vertices are chosen at random (i.e. independently and uniformly) in the interior of a parent tetrahedron of unit volume. We discover:
We also calculate the second, fourth and sixth moments of V.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Cited by
2 articles.
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1. On the LLN for the number of vertices of a random convex hull;Advances in Applied Probability;2000-09
2. Random nested tetrahedra;Advances in Applied Probability;1998-09