Calculator
Results
Probability:
N/A
Data Source and Methodology
All calculations are based on the standard normal distribution formulas and data.
The Formula Explained
The probability density function of a normal distribution is given by:
\( f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{1}{2} \left(\frac{x-\mu}{\sigma}\right)^2} \)
Glossary of Terms
- Mean (μ): The average of all data points.
- Standard Deviation (σ): A measure of the amount of variation or dispersion in a set of values.
- Value (x): The data point for which the probability is calculated.
Frequently Asked Questions (FAQ)
What is a Normal Distribution?
A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
How do I calculate the probability for a specific value?
Enter the mean, standard deviation, and the specific value into the calculator to compute the probability.
What is the use of normal distribution in real-world scenarios?
Normal distribution is used in various fields including finance, research, and social sciences to infer probabilities and make predictions.