WorksheetFunction.Poisson_Dist method (Excel)

Returns the Poisson distribution. A common application of the Poisson distribution is predicting the number of events over a specific time, such as the number of cars arriving at a toll plaza in one minute.

Syntax

expression.Poisson_Dist (Arg1, Arg2, Arg3)

expression A variable that represents a WorksheetFunction object.

Parameters

Name Required/Optional Data type Description
Arg1 Required Double X - The number of events.
Arg2 Required Double Mean - The expected numeric value.
Arg3 Required Boolean Cumulative - A logical value that determines the form of the probability distribution returned. If cumulative is True, Poisson_Dist returns the cumulative Poisson probability that the number of random events occurring will be between 0 (zero) and x inclusive; if False, it returns the Poisson probability mass function that the number of events occurring will be exactly x.

Return value

Double

Remarks

If x is not an integer, it is truncated.

If x or mean is nonnumeric, Poisson_Dist returns the #VALUE! error value.

If x < 0, Poisson_Dist returns the #NUM! error value.

If mean ≤ 0, Poisson_Dist returns the #NUM! error value.

Poisson_Dist is calculated as follows. For cumulative = False:

POISSON_DIST equation for cumulative= FALSE

For cumulative = True:

POISSON_DIST equation for cumulative= TRUE

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