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DAX Statistical - POISSON.DIST function
Description
Returns the Poisson distribution. A common application of the Poisson distribution is predicting the number of events over a specific time.
Syntax
POISSON.DIST (<x>, <mean>, <cumulative>)
Parameters
| Sr.No. | Parameter & Description |
|---|---|
| 1 |
x The number of events. |
| 2 |
mean The expected numeric value. |
| 3 |
cumulative A logical value that determines the form of the probability distribution returned. TRUE: POISSON.DIST returns the cumulative Poisson probability that the number of random events occurring will be between zero and x inclusive. FALSE: POISSON.DIST returns the Poisson probability mass function that the number of events occurring will be exactly x. |
Return Value
Returns the Poisson distribution.
Remarks
If x is not an integer, it is truncated.
If x or mean is non-numeric, 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 −
$$POISSON\:=\:\frac{e^{-\lambda} \lambda^{x}}{x!}$$
-
For cumulative = TRUE −
$$CUMPOISSON\:=\:\sum_{k=0}^x\frac{e^{-\lambda} \lambda^{x}}{k!}$$
-
Example
= POISSON.DIST (2,5, TRUE ()) returns 0.124652019483081.
