What is the Probability Density Function (PDF) Calculator?

The Probability Density Function (PDF) Calculator is a tool that helps users calculate the value of a continuous probability distribution at a specific point. By entering the mean (μ), standard deviation (σ), and the value of X, the calculator computes f(x), the probability density at that point. This is useful for students, teachers, and anyone working with normal distributions, statistics, or probability theory to understand the likelihood of a continuous random variable taking a specific value.

How to Use:

1. Enter Mean (μ): Input the average value of the distribution.
2. Enter Standard Deviation (σ): Input the standard deviation, which must be greater than 0.
3. Enter Value of X: Input the specific point at which you want to calculate the probability density.
4. Click “Calculate”: The calculator computes the PDF value f(x) for the given inputs.
5. Review Result: The output displays the mean, standard deviation, X value, the calculated PDF f(x), and a clear interpretation of the probability density at that point.