Inverse normal distribution calculator

Welcome to our Inverse Normal Distribution Calculator. This tool is designed to help you calculate the inverse values for a normal distribution given a specific probability. It's an essential resource for students, teachers, and professionals working in statistics and probability theory.



Result :

For \( \mathrm{ P( X \le x ) = p } \) :

\( \mathrm{ x} = \)

For \( \mathrm{ P( X \ge x ) = p } \) :

\( \mathrm{ x} = \)

For \( \mathrm{ P(x_1 \le X \le x_2 ) = p } \) :

\( \mathrm{ x_1} = \) and \( \mathrm{ x_2} = \)


How to Use inverse Normal Distribution Calculator

Follow these steps to use our Inverse Normal Distribution Calculator:

  1. Enter the population mean (μ).
  2. Enter the population standard deviation (σ).
  3. Input the probability value (p).
  4. Specify the number of decimal places to round the results to.
  5. Click "Calculate" to get the results.

Understanding Inverse Normal Distribution

The inverse normal distribution, also known as the inverse Gaussian distribution, is a continuous probability distribution often used in statistics. It helps in determining the value of a variable at a given probability. This calculator simplifies the process by providing quick and accurate results.

Applications of Inverse Normal Distribution

The inverse normal distribution is widely used in various fields such as finance, engineering, and natural sciences. It is particularly useful for risk assessment, quality control, and reliability analysis.