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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

X     is the value at which you want to evaluate the distribution.

Alpha     is a parameter to the distribution.

Beta     is a parameter to the distribution. If beta = 1, GAMMADIST returns the standard gamma distribution.

Cumulative     is a logical value that determines the form of the function. If cumulative is TRUE, GAMMADIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.

## Remarks

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

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

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

• The equation for the gamma distribution is: The standard gamma distribution is: • When alpha = 1, GAMMADIST returns the exponential distribution with: • For a positive integer n, when alpha = n/2, beta = 2, and cumulative = TRUE, GAMMADIST returns (1 - CHIDIST(x)) with n degrees of freedom.

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

## Examples

 X Alpha Beta Formula Description (Result) 10 9 2 =GAMMADIST([X],[Alpha],[Beta],FALSE) Probability gamma distribution of the arguments (0.032639) 10 9 2 =GAMMADIST([X],[Alpha],[Beta],TRUE) Cumulative gamma distribution of the arguments (0.068094)

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