### Image: Triangle density

The function \begin{gather*} \rho(x) = \begin{cases} x & \text{if $0 < x < 1$}\\ 2-x & \text{if $1 < x < 2$}\\ 0 & \text{otherwise} \end{cases} \end{gather*} is a triangular probability density function centered around 1.

Image file: triangle_density.png

Source image file: triangle_density.ggb

Source image type: Geogebra

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