"Gaussian Bell Curve" is an interactive tool designed to calculate and visualize probabilities of the normal distribution. It is a useful resource for students, teachers, and professionals who work with statistics and need to understand or solve problems related to the Gaussian distribution.

This application allows you to enter the key parameters of any normal distribution and instantly obtain the results you need, accompanied by clear graphs that will help you understand the data visually.

Main Features:

Probability Calculation: Easily enter the Mean (µ) and Standard Deviation (σ) of your distribution.

Multiple Calculation Types: Calculate probabilities such as P(X > a), P(X < a), or the probability between two values ​​(P(a < X < b)).

Dual Visualization: Choose what to graph. You can view the classic "Probability Density" curve (PDF), which shows the Gaussian bell curve with the area of ​​interest shaded, or the "Cumulative Probability" (CDF), which shows the cumulative probability up to a given point.

Detailed Results: When calculating, the application shows you:

The numerical result of the probability (e.g., P(X>18.5) = 0.9332).

A clear graph of the selected function (PDF or CDF).

A summary of your distribution parameters, including the Mean (µ), Variance (σ²), and Standard Deviation (σ).

Simple Interface: The main screen is straightforward and allows you to set up your statistical problem in seconds.

Interactive Graphs: The results graphs can be inspected closely for better visual analysis.