Daily DAX : Day 346 BETA.DIST

BETA.DIST DAX Function

The BETA.DIST function in Power BI DAX (Data Analysis Expressions) calculates the probability density or cumulative distribution for the beta distribution, which is commonly used in statistical modeling for proportions or probabilities.

Syntax

BETA.DIST(value, alpha, beta, cumulative, [A], [B])

Parameters

Parameter	Description
value	The value at which to evaluate the distribution (between A and B).
alpha	A parameter of the beta distribution (must be positive).
beta	A parameter of the beta distribution (must be positive).
cumulative	A logical value: TRUE for cumulative distribution, FALSE for probability density.
A (optional)	The lower bound of the distribution (default is 0).
B (optional)	The upper bound of the distribution (default is 1).

Return Value

Returns the beta distribution value, either as a probability density (FALSE) or cumulative probability (TRUE).

Use Cases

• Modeling Proportions: Analyze proportions, such as success rates or completion rates, in business scenarios like marketing campaign success or product defect rates.
• Bayesian Analysis: Model prior and posterior distributions in Bayesian inference, often used in predictive analytics.
• Risk Analysis: Estimate probabilities in risk models, such as project completion times or financial return distributions.

Example

Calculate the cumulative beta distribution for a value of 0.5 with alpha = 2, beta = 5, and default bounds (0 to 1):

BETA.DIST(0.5, 2, 5, TRUE)
    

This returns the cumulative probability for the beta distribution at value 0.5.

Notes

• The value must be within the bounds [A, B]. If A and B are not specified, they default to 0 and 1, respectively.
• Alpha and beta must be positive numbers.
• Use TRUE for cumulative distribution when you need the probability up to a certain point; use FALSE for the density at a specific point.