Triangular distribution

The function of the triangular distribution of a random variable is defined by the formula:

distribution function

The density of the triangular distribution of a random variable is found by the formula:

distribution density

Mathematical expectation:

$M(x) = \frac{{a + b + c}}{3}$

Dispersions:

Dispersion

Density plot of a triangular distribution of a random variable in the range from -4 to 10

triangular distribution   Distribution function graph  

Density plot of a triangular distribution of a random variable

Graph of distribution density

Function plot of a triangular distribution of a random variable

The triangular distribution is an approximate model and is used when there is no data available. The triangular distribution law is also used to construct complex distribution laws.

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