The is a continuous probability distribution with a probability density function shaped like a triangle. It is defined by three values: the minimum value a, the maximum value b, and the peak value c.

This calculator finds the probability for a given value of x, as well as the mean, median, mode, and variance of the distribution.

Simply fill in the values below, then click the “Calculate” button.

Minimum value (a)

Maximum value (b)

Peak value (c)

Random variable value (x)

P(x): 0.16667

Mean: 5.33333

Median: 5.46410

Mode: 6.00000

Variance: 1.55556