# Triangular Distribution

In statistics and probability theory, triangular distribution is a continuous probability distribution. The probability density function of a triangular distribution is shaped like a simple geometric shape, triangle.

The triangular distribution is a good model for skewed distributions. It has a definite lower and upper limit, which is helpful to avoid unwanted extreme values. Usually according to the property of the probability density functions, area under the function is one but for triangular distribution the maximum value of the probability distribution function is $\frac{2}{n-m}$ if x $\in$ [m, n].

The sum of three dice is a discrete triangular
distribution with minimum value 3, maximum value 18 and a peak at 13. The triangular distribution is similar to the trapezoidal in that the probability increase linearly from the minimum and then decrease linearly from the maximum, but differ in that it has only one mode.