Throwaway2367 comments on You can tell a drawing from a painting

Throwaway2367 14 Mar 2022 13:00 UTC
2 points
What about

$p m f_{A} (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1}{2} & if x = 0 \frac{1}{2} & if x = 2 0 & otherwise \end{matrix}$

$p m f_{B} (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{1}{3} & if x = 0 \frac{1}{3} & if x = 1 \frac{1}{3} & if x = 2 0 & otherwise \end{matrix}$ ?

Both functions’ support has the same minimum (0) and maximum (2).