# GAMMA.DIST

### Definition

Returns the gamma distribution. You can use this function to study variables that may have a skewed distribution. The gamma distribution is commonly used in queuing analysis.

### Syntax

GAMMA.DIST(x,alpha,beta,cumulative)

The GAMMA.DIST function syntax has the following arguments:

• X     Required. The value at which you want to evaluate the distribution.

• Alpha     Required. A parameter to the distribution.

• Beta     Required. A parameter to the distribution. If beta = 1, GAMMA.DIST returns the standard gamma distribution.

• Cumulative     Required. A logical value that determines the form of the function. If cumulative is TRUE, GAMMA.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

### Remarks

• If x, alpha, or beta is nonnumeric, GAMMA.DIST returns the #VALUE! error value.

• If x < 0, GAMMA.DIST returns the #NUM! error value.

• If alpha ≤ 0 or if beta ≤ 0, GAMMA.DIST returns the #NUM! error value.

• The equation for the gamma probability density function is:

The standard gamma probability density function is:

• When alpha = 1, GAMMA.DIST returns the exponential distribution with:

• For a positive integer n, when alpha = n/2, beta = 2, and cumulative = TRUE, GAMMA.DIST returns (1 - CHISQ.DIST.RT(x)) with n degrees of freedom.

• When alpha is a positive integer, GAMMA.DIST is also known as the Erlang distribution.

### By adding the values you would like to calculate the GAMMA.DIST formula for, Excellentable will generate the outcome:

A
B
1
Description
Data
2
Value at which you want to evaluate the distribution
10.00001131
3
Alpha parameter to the distribution
9
4
Beta parameter to the distribution
2
5
6
GAMMA.DIST(A2,A3,A,FALSE)
0.03263913
7
GAMMA.DIST(A2,A3,A4,TRUE)
0.068094004

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