## Systems of stochastically independent and normally distributed random points in the Euclidean space $$E_3$$.(English)Zbl 0949.60026

Let $$P_1,P_2,P_3$$ resp. $$Q_1,Q_2,Q_3,Q_4$$ be independent random points in Euclidean 3-space $$E_3$$ with standard normal distribution. The author studies the area $$A$$ of the triangle spanned by $$P_1,P_2,P_3$$ and the volume $$V$$ of the tetrahedron spanned by $$Q_1,Q_2,Q_3,Q_4$$ and determines explicitly the distribution of these random variables.
Reviewer: W.Weil (Karlsruhe)

### MSC:

 60D05 Geometric probability and stochastic geometry 52A22 Random convex sets and integral geometry (aspects of convex geometry) 52A38 Length, area, volume and convex sets (aspects of convex geometry)
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