Normal Distribution Probability

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.