Normal Distribution Probability Calculator
Calculate normal distribution probability online using this intuitive tool. Visualize bell curves, understand probability ranges, and get instant results for statistical analysis.
Distribution Parameters
Probability & Visualization
Understanding Normal Distribution
The normal distribution, often called the Gaussian distribution or bell curve, is fundamental in statistics. It describes how the values of a variable are distributed. In a normal distribution, most values cluster around the mean, forming a symmetrical bell shape.
It's defined by two key parameters:
- Mean (\( \mu \)): The average value, determining the center of the distribution.
- Standard Deviation (\( \sigma \)): Measures the spread or variability of the distribution. A larger standard deviation means a wider curve.
The probability density function, which describes the shape of the normal distribution, is given by:
This calculator helps you find the probability that a random variable \( X \) falls within a specific range \( [a, b] \) for a given normal distribution. This is crucial in many fields for risk assessment, quality control, and making predictions based on data.