Triangular Distribution CDF Calculator

Triangular Distribution CDF Calculator

Calculate the cumulative distribution function (CDF) for a Triangular distribution defined by minimum \( a \), mode \( c \), and maximum \( b \).

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

Formula: $$ F(x;a,c,b)= \begin{cases} 0 & x < a, \\\\ \frac{(x-a)^2}{(b-a)(c-a)} & a \le x \le c, \\\\ 1-\frac{(b-x)^2}{(b-a)(b-c)} & c < x \le b, \\\\ 1 & x > b. \end{cases} $$

Step 1: Enter Parameters

e.g., 0

e.g., 5 (must satisfy \( a \le c \le b \))

e.g., 10

Enter a value to evaluate the CDF

Formula: $$ F(x;a,c,b)= \begin{cases} 0 & x < a, \\\\ \frac{(x-a)^2}{(b-a)(c-a)} & a \le x \le c, \\\\ 1-\frac{(b-x)^2}{(b-a)(b-c)} & c < x \le b, \\\\ 1 & x > b. \end{cases} $$

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