# Normal Distribution Probability

**Formula:**`f(x, μ, σ) = 1 / (σ * √(2π)) * e^(-0.5 * ((x - μ) / σ)^2)`

## Introduction to Normal Distribution Probability

The normal distribution probability function calculates the probability of an event occurring at a specific value in a normal distribution. The formula involves the parameters x (the value), μ (mean), and σ (standard deviation). The result gives the probability of x occurring in the distribution with the specified mean and standard deviation.

## Parameter usage:

`x`

= value at which the probability is calculated`μ`

= mean of the distribution`σ`

= standard deviation of the distribution

## Output:

`f(x, μ, σ)`

= probability of x occurring in the normal distribution

## Data validation:

μ and σ should be real numbers. σ should be greater than zero.

## Summary

This calculator helps determine the probability of a specific value occurring in a normal distribution, based on the mean and standard deviation of the distribution.

Tags: Statistics, Probability, Normal Distribution