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# Triangle Distribution Random Variable Generator

The triangular distribution with parameters *a*, *b*, and *k* is bounded between *a* and *b* with a peak at *k*. It is often used in business and project management situations where not much information is known about a distribution except for the min, max, and mode. You can use the random number generator below to produce random variables from a triangular distribution. The parameter *k* may be equal to either *a* or *b*.

The mean, median, mode, variance, and skewness of the triangular distribution are elementary functions of

*a*,

*b*, and

*k*:

*X*and

*Y*are uniform random variables from the interval [0, 1], then the arithmetic mean of

*X*and

*Y*has a triangular distribution with

*a*= 0,

*k*= 0.5, and

*b*= 1. The absolute value of the difference between

*X*and

*Y*also has a triangular distribution; in this case

*a*=

*k*= 0 and

*b*= 1.

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