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.
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.
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.
In order to use the GAMMA.DIST formula, start with your edited Excellentable:
Then type in the GAMMA.DIST formula in the area you would like to display the outcome:
By adding the values you would like to calculate the GAMMA.DIST formula for, Excellentable will generate the outcome: