# Poisson Command

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##### Poisson

This article is about GeoGebra command.

##### Command Categories (All commands)

Poisson( <Mean> )
Returns a bar graph of a Poisson distribution with given mean λ.
Poisson( <Mean>, <Boolean Cumulative> )
Returns a bar graph of a Poisson distribution when Cumulative = false.
Returns a graph of a cumulative Poisson distribution when Cumulative = true.
The first parameter is same as above.
Poisson( <Mean>, <Variable Value v>, <Boolean Cumulative> )
Let X be a Poisson random variable.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.
First parameter is same as above.
Examples:
• Poisson(3, 1, true) yields 0.2 in the Algebra View and \frac{4}{e³} in the CAS View.
• Poisson(3, 1, false) yields 0.15 in the Algebra View and \frac{3}{e³} in the CAS View.
Note: A simplified syntax is available to calculate P(u ≤ X ≤ v): e.g. Poisson(1, 1..5) yields 0.63153, that is the same as Poisson(1, {1, 2, 3, 4, 5}).
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