# BETA.INV

## Y ## What Is a Beta Distribution?

Before we dive into the details of the BETA.INV function, we must first understand what a beta distribution is. A beta distribution is a probability distribution that is used to model random variables that have values between 0 and 1. The distribution is defined by two parameters, alpha and beta. The values of these parameters determine the shape of the distribution.

## What Is the Cumulative Distribution Function?

The cumulative distribution function (CDF) is a function that gives the probability that a random variable is less than or equal to a certain value. The CDF is defined for all probability distributions, including the beta distribution.

## What Is the Inverse of the Cumulative Distribution Function?

The inverse of the cumulative distribution function (ICDF) is a function that gives the value of the random variable for which the CDF is equal to a certain probability. In other words, if we know the probability, we can use the ICDF to find the value of the random variable that corresponds to that probability.

## What Is the BETA.INV Function?

The BETA.INV function is a DAX function that is used to calculate the ICDF of a beta distribution. The function takes three arguments: probability, alpha, and beta. The probability argument is the probability for which we want to find the value of the random variable. The alpha and beta arguments are the parameters of the beta distribution.

## Syntax of the BETA.INV Function

The syntax of the BETA.INV function is as follows:

``` BETA.INV (probability, alpha, beta) ```

## How to Use the BETA.INV Function in Power BI

To use the BETA.INV function in Power BI, follow these steps:

1. Open Power BI Desktop.

2. Create a new report or open an existing one.

3. Select a visual or create a new one.

4. Click on the field for which you want to use the BETA.INV function.

5. Click on the “New Measure” button in the “Modeling” tab of the ribbon.

6. Enter a name for the measure.

7. Enter the following formula in the formula bar:

``` BETA.INV (probability, alpha, beta) ```

8. Replace the probability, alpha, and beta arguments with the appropriate values.

9. Press enter to create the measure.

## Example

Suppose we have a dataset with the following columns:

– ID

– Probability

– Alpha

– Beta

We want to calculate the ICDF of the beta distribution for each row in the dataset. We can use the BETA.INV function to do this.

To create a measure that calculates the ICDF, we can follow the steps outlined above. Suppose we name the measure “Beta ICDF”. The formula for the measure would be:

``` Beta ICDF = BETA.INV([Probability], [Alpha], [Beta]) ```

This will create a new column in the dataset that contains the ICDF for the beta distribution for each row.

The BETA.INV function is a powerful tool that can be used to calculate the ICDF of a beta distribution. By understanding how the function works and how to use it in Power BI, you can improve the efficiency of your analysis and gain better insights from your data.

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