# Documentation/Calc Functions/BETA.DIST

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BETA.DIST

## Category:

Statistical Analysis

## Summary:

Returns a value of the probability density function or the cumulative distribution function for the beta distribution.

## Syntax:

BETA.DIST(Number; Alpha; Beta; Cumulative [; Start [; End]])

## Returns:

Returns a real number which is the beta function value for the given arguments. The function returns either a probability density function or cumulative distribution function which has a non-negative range, i.e. [0, +∞).

## Arguments:

Number is a real number or a reference to the cell containing that number which has to be between Start and End at which to evaluate the function.

Alpha is a real number or a reference to the cell containing that number which is a parameter to the distribution.

Beta is a real number or a reference to the cell containing that number which is a parameter to the distribution.

Start is a real number or a reference to the cell containing that number which is the lower bound for Number.

End is a real number or a reference to the cell containing that number which is the upper bound for Number.

Cumulative can be 0 or False to calculate the probability density function. It can be any other value or True to calculate the cumulative distribution function.

• If either of Alpha or Beta is negative or zero then the function returns an error value.
• If either Number is not between Start and End or Start is greater than End the function returns an error value.
• If Start is not specified, the default value 0 is used.
• If End is not specified, the default value 1 is used.

## Additional details:

For more details on Beta distribution, visit Wikipedia.

## Examples:

Formula Description Returns
=BETA.DIST(2;8;10;1;1;3) returns beta cumulative distribution 0.6854706
=BETA.DIST(2;8;10;0;1;3) returns beta probability density distribution 1.4837646
=BETA.DIST(-3.5,3,3,1,-4,-3) returns beta cumulative distribution 0.5
=BETA.DIST(2;0;-3;0;1;3) Alpha and Beta should greater than 0 so the function returns an error value Err:502

None

BETA.DIST