Function Binomial(ProbabilityOfSuccess, NumberOfTries)

Binomial

The function Binomial draws a random value from a binomial distribution.

Binomial(
        ProbabilityOfSuccess, ! (input) numerical expression
        NumberOfTries         ! (input) integer expression
        )

Arguments

ProbabilityOfSuccess

A scalar numerical expression in range \((0,1)\).

NumberOfTries

An integer numerical expression \(> 0\).

Return Value

The function Binomial returns a random value drawn from a binomial distribution with a probability of success ProbabilityOfSuccess and number of tries NumberOfTries

Graph

A graph with:

• a histogram for 1000 experiments of drawing from distribution Binomial(0.5,50), and

• the DistributionDensity for Binomial(0.5,50)

Example

The code:

option seed := 1234 ;
_p_draw := Binomial( 0.7, 50 );
_p_pointDensity := DistributionDensity( Binomial( 0.7, 50 ), 25 );

block where listing_number_precision := 6 ;
        display _p_draw, _p_pointDensity ;
endblock ;

will produce

_p_draw := 37 ;
_p_pointDensity := 0.001436 ;

in the listing file.

References

• The Binomial distribution is discussed in full detail in Discrete Distributions of the Language Reference.

• Wikipedia