# BETA.INV function

Returns the inverse of the beta cumulative probability density function (BETA.DIST).

If probability = BETA.DIST(x,...TRUE), then BETA.INV(probability,...) = x. The beta distribution can be used in project planning to model probable completion times given an expected completion time and variability.

## Syntax

`BETA.INV(probability,alpha,beta,[A],[B])`

The BETA.INV function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):

• Probability     Required. A probability associated with the beta distribution.
• Alpha     Required. A parameter of the distribution.
• Beta     Required. A parameter the distribution.
• A     Optional. A lower bound to the interval of x.
• B     Optional. An upper bound to the interval of x.

## Remarks

• If any argument is nonnumeric, BETA.INV returns the #VALUE! error value.
• If alpha ≤ 0 or beta ≤ 0, BETA.INV returns the #NUM! error value.
• If probability ≤ 0 or probability > 1, BETA.INV returns the #NUM! error value.
• If you omit values for A and B, BETA.INV uses the standard cumulative beta distribution, so that A = 0 and B = 1.

Given a value for probability, BETA.INV seeks that value x such that BETA.DIST(x, alpha, beta, TRUE, A, B) = probability. Thus, precision of BETA.INV depends on precision of BETA.DIST.

## Example

The example may be easier to understand if you copy it to a blank worksheet.

1. Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.

Selecting an example from Help

1. Press CTRL+C.
2. Create a blank workbook or worksheet.
3. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
4. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

A B
Data Description
0.685470581 Probability associated with the beta distribution
8 Parameter of the distribution
10 Parameter of the distribution
1 Lower bound
3 Upper bound
Formula Description (Result)
=BETA.INV(A2,A3,A4,A5,A6) Inverse of the cumulative beta probability density function for the parameters above (2)

Applies to:
Excel 2010, Excel Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses