# Normal Distribution Probability

 X: Mean: Std Dev:

Output: `Press calculate`

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.