The Volume of a Tetrahedron whose Vertices are Chosen at Random in the Interior of a Parent Tetrahedron-Reference-Cited by-同舟云学术

The Volume of a Tetrahedron whose Vertices are Chosen at Random in the Interior of a Parent Tetrahedron

Published:1994-09 Issue:3 Volume:26 Page:577-596
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Mannion David

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

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