Here, using equations from triangular distributions, the mean of the launch cost distribution is calculated.

But if the most likely outcome is also known, then the outcome can be simulated by a triangular distribution.

The triangular distribution is also commonly used.

The sampled distributions may take any form, although the triangular distribution is often used, as is typical for low data situations.

The sum of two independent, equally distributed, uniform distributions yields a symmetric triangular distribution.

In the next iteration, the variance parameters, 2are incremented by an amount drawn at random from a triangular distribution with range to form .

In some applications, the triangular distribution is used directly as an estimated probability distribution, rather than for the derivation of estimated statistics.

For the multiplicative factor used for two of those, we used a symmetrical triangular distribution centered on the original 38, with a range of (24,52).

When coefficients cannot logically be unboundedly large or small, then bounded distributions are often used, such as the or triangular distributions.

He first considered the uniform distribution and then the discrete symmetric triangular distribution followed by the continuous symmetric triangle distribution.

A triangular distribution, while seldom appearing in nature, might effectively approximate someone's beliefs, and has the advantage for pedagogic purposes of allowing calculations using polynomial algebra.

Berger et al. also give a heuristic argument that Beta(1/2, 1/2) could indeed be the exact Berger-Bernardo-Sun reference prior for the asymmetric triangular distribution.

As described, a range is an estimate of a maximum, most-likely (or mode) and minimum (or Optimistic, Most-Likely, Pessimistic) values that circumscribe a triangular distribution.

Sugihara used a triangular distribution to draw the random variables because the randomness of some natural populations matches a triangular distribution with a mean of 0.75.

In 2004, Brazilian probabilist of Russian origin Serguei Popov showed that stochastic Bulgarian solitaire spends "most" of its time in a "roughly" triangular distribution.

For this reason, the beta distribution - along with the triangular distribution - is used extensively in PERT, critical path method (CPM) and other project management / control systems to describe the time to completion of a task.

The triangular distribution is typically used as a subjective description of a population for which there is only limited sample data, and especially in cases where the relationship between variables is known but data is scarce (possibly because of the high cost of collection).

However, due to the equilateral triangular distribution of the fluoride ions about the boron cation center, the molecule as a whole does not exhibit any identifiable pole: one cannot construct a plane that divides the molecule into a net negative part and a net positive part.

Sugihara's (1980) Fixed Division Model was similar to the random fraction model, but the randomness of the model is drawn from a triangular distribution with a mean of 0.75 rather that a normal distribution with a mean of 0.5 used in the random fraction.