# Triangular Distribution (PDF) Calculator

Triangular distribution *probability *(PDF) calculator, formulas & example work with steps to estimate the probability of maximim data distribution between two points a & b in statistical experiments. By using this calculator, users may find the probability P(x), expected *mean* (μ), median, mode and *variance* (σ^{2}) of trinagular distribution. This probability density function (pdf) calculator is featured to generate the work with steps for any corresponding input values to help beginners to learn how the input values are being used in such calculations of triangular distribution.

**Notes**The below are the important notes to remember to supply the corresponding input values for this probability density function of triangular distribution calculator.

- The random variable x is the non-negative number value which must be greater than or equal to 0. The triangular distribution is evaluated at this random value x.
- The lower limit a is the positive or negative number which represents the initial point of curve.
- The upper limit b is the positive or negative number which represents the end point of curve.
- The middle point c is the positive number which represents the height of the distribution.

## Triangular Distribution & Formulas

^{2}represents the variation among the group of data.

**Formula**The below formula is mathematical representation for Triangular probability density function may help users to know what are all the input parameters are being used in such calculations to characterize the data distribution. Users may use these below triangular distribution formulas for manual calculations and use this calculator to verify the results of manual calculations or generate complete work with steps.

## Solved Example Problems with Steps

The below are some of the solved examples with solutions for probability density function (pdf) of Triangular distribution to help users to know how to estimate the probabilty of maximum data distribution between the interval or two points.

- A random variable x = 5 which follows the triangular distribution with lower limit a = 3, upper limit b = 8.7 and height c = 2.9. Find the probability density function of x to fall between the interval or limits.
- Find the probability density function P(x) for random variable x = 12 which follows Triangular distribution having the lower limit a = 4.5, upper limit b = 7.2 and height c = 5.5