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

David Mannion

doi:10.2307/1427809

journal article Sep 01, 1994

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

David Mannion

Advances in Applied Probability Vol. 26 No. 3 pp. 577-596 · Cambridge University Press (CUP)

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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.

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Metrics

16

Citations

12

References

Details

Published: Sep 01, 1994
Vol/Issue: 26(3)
Pages: 577-596
License: View

Authors

D

David Mannion

Cite This Article

David Mannion (1994). The Volume of a Tetrahedron whose Vertices are Chosen at Random in the Interior of a Parent Tetrahedron. Advances in Applied Probability, 26(3), 577-596. https://doi.org/10.2307/1427809

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

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