Function Geometric(ProbabilityOfSuccess)

Geometric

The function Geometric draws a random value from a geometric distribution.

It represents the number of failures in a series of drawings whereby the chance of success is ProbabilityOfSuccess

Geometric(
   ProbabilityOfSuccess    ! (input) numerical expression
         )

Arguments

ProbabilityOfSuccess

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

Return Value

The function Geometric returns a random value drawn from a geometric distribution with a probability of success ProbabilityOfSuccess.

Graph

../../_images/geometric.png

A graph with:

  • a histogram for 10000 experiments of drawing from distribution Geometric(0.1), and

  • the DistributionDensity for Geometric(0.1)

Example

The code:

option seed := 1234 ;
_p_draw := Geometric( 0.1 );
_p_pointDensity := DistributionDensity( Geometric( 0.1 ), 5 );

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

will produce

_p_draw := 7 ;
_p_pointDensity := 0.059049 ;

in the listing file.

Indicates:

  • that for the first drawing: 7 failures before success, when chance of success is 0.1, and

  • the probability for result 5 is 0.059049.

References