File:Probabilities of functions of normal vectors.png

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Description	English: a: Probability density of a function $\cos x^{2}$ of a normal variable $x$ with $\mu =-2$ and $\sigma =3$ . b: Probability density of a function $x^{y}$ of two normal variables $x$ and $y$ , where $\mu _{x}=1$ , $\mu _{y}=2$ , $\sigma _{x}=.1$ , $\sigma _{y}=.2$ , and $\rho _{xy}=.8$ . c: Heat map of the joint probability density of two functions of two correlated normal variables $x$ and $y$ , where $\mu _{x}=-2$ , $\mu _{y}=5$ , $\sigma _{x}^{2}=10$ , $\sigma _{y}^{2}=20$ , and $\rho _{xy}=.495$ . These are computed by the numerical method of ray-scanning.
Date	1 January 2021
Source	Own work
Author	Dvidby0

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	Date/Time	Dimensions	User	Comment
current	22:16, 27 April 2021	828 × 3,001 (390 KB)	Dvidby0	Added an example
	19:26, 9 January 2021	809 × 2,150 (157 KB)	Dvidby0	Improved example b.
	22:46, 1 January 2021	809 × 2,150 (157 KB)	Dvidby0	Cross-wiki upload from en.wikipedia.org

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