The BETA.DIST function returns the probability of a given value as defined by the beta distribution function.
Parts of a BETA.DIST function
BETA.DIST(value, alpha, beta, lower_bound, upper_bound)
| Part | Description | Notes |
|---|---|---|
value | The value at which to evaluate the probability function. | * The given value must be a number from the given lower boundary to the given upper boundary. |
alpha | The first shape parameter of the distribution. | * The given alpha must be a positive number. |
| beta | The second shape parameter of the distribution. | * The given beta must be a positive number. |
lower_bound | The lower boundary of the function. | * The default lower boundary is 0. |
upper-bound | The upper boundary of the function. | * The default upper boundary is 1. |
Sample formulas
BETA.DIST(0.65, 1.234, 7, 0.5, 3)
BETA.DIST(0.42, 3, 8)
BETA.DIST(0.92, 0.5, 0.7)
BETA.DIST(A5, 0.5, 0.7, -1, 1)
Note
- You can use
BETADISTorBETA.DISTto perform this function.
Example
In this example, the cumulative probability of beta distribution at 0.3 is parameterized by an alpha of 5 and a beta of 1, defined over [-1, 1]:
| A | B | C | D | E | F |
|---|---|---|---|---|---|
| 1 | Value | Alpha | Beta | Lower bound | Upper bound |
| 2 | 0.3 | 5 | 1 | -1 | 1 |
| 3 | 0.3 | 5 | 1 | -1 | 1 |
| 4 | 0.3 | 5 | 1 | -1 | 1 |
Related function
BETAINV: The BETA.INV function returns the value of the inverse beta distribution function for a given probability.