# Normal distribution calculator :

Welcome to our **Normal Distribution Calculator**, your tool for finding probabilities for normal distributions. Whether you're a student, a teacher, or a professional, this calculator will assist you in performing statistical calculations with ease.

Normal distribution, also known as the Gaussian distribution, is a continuous probability distribution characterized by its bell-shaped curve. It is defined by two parameters: the mean (\( \mu \)) and the standard deviation (\( \sigma \)). This calculator allows you to input these values and find probabilities for various ranges, including two-tailed, left-tailed, and right-tailed tests.

** Result :**

## How to Use the Normal Distribution Calculator

Follow these simple steps to calculate probabilities using our Normal Distribution Calculator:

- Enter the population mean (\( \mu \)) in the designated input box.
- Enter the population standard deviation (\( \sigma \)) in the designated input box.
- Select the type of test (Two-Tailed, Left-Tailed, or Right-Tailed).
- Enter the relevant limit values based on the selected test type.
- Click "Calculate Probability" to obtain the results.

## Why Use our Calculator?

Normal distributions are widely used in statistics and natural and social sciences for real-valued random variables whose distributions are not known. They provide a simple way to calculate probabilities for values within a certain range. This calculator is especially useful for:

- Determining the probability of a sample mean falling within a certain range.
- Finding the critical values for hypothesis testing.
- Calculating the confidence intervals for population parameters.