Triangular distribution
= Triangular distribution
{title2=$\operatorname{Triangular}(a,c,b),\quad a<c<b$}
{wiki}
A triangular <probability density function> rises linearly from zero at $a$ to its mode $c$, then falls linearly to zero at $b$. Its peak is $2/(b-a)$. Its <inverse transform sampling> rule is $a+\sqrt{u(b-a)(c-a)}$ for $u\le(c-a)/(b-a)$, and $b-\sqrt{(1-u)(b-a)(b-c)}$ otherwise.