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BETA.INV function: Description, Usage, Syntax, Examples and Explanation

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What is BETA.INV function in Excel?

BETA.INV function is one of Statistical functions in Microsoft Excel that 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 of BETA.INV function

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

The BETA.INV function syntax has the following arguments:

  • 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.

BETA.INV formula explanation

  • 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 of BETA.INV function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

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

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