Triangular Distribution PDF Calculator

Calculate the probability density for a Triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \).

* Enter the values \( a \), \( c \) (with \( a \leq c \leq b \)), \( b \), and a value \( x \) for evaluation.

Formula: $$ f(x;a,c,b)=\begin{cases} 0 & x < a, \\\\ \frac{2(x-a)}{(b-a)(c-a)} & a \le x \le c, \\\\ \frac{2(b-x)}{(b-a)(b-c)} & c < x \le b, \\\\ 0 & x > b. \end{cases} $$