You are here:

# Calculators :: Statistics Calculators :: Normal Distribution Calculator

Enter mean, standard deviation and cutoff points and this calculator will find the area under normal distribution curve.
The calculator will generate a step by step explanation along with the graphic
representation of the area you want to find.

## Polynomial Calculators

Find Roots, Factor, Expand, Simplify, Graph,...

##
Rational Expressions

Simplify, Multiply, Divide, Add, Subtract

## Radical expressions

Rationalize, Simplify

## Solving Equations

Solve Quadratic, Polynomial or Rational Equation

## Quadratic equation

Solving, Factoring, Graphing,...

## Plane Geometry

Triangle, Sine/Cosine Law, Square, Rectangle

## Complex numbers

Operations, Polar Form, Simplifying, Inverse,...

## Systems of equations

Systems 2x2, 3x3 and 4x4

## Vectors and Matrices

2D/3D Vectors, Matrix Determinant & Inverse

## Calculus Calculators

Limits, Derivatives, Integrals

## Analytic Geometry

Line, Triangle, Circle,...

## Trigonometry Calculators

Limits, Derivatives, Integrals

## Numbers

Fractions, LCM, GCD, Prime Numbers,Percentages...

## Statistics Calculators

Descriptive, Dispersion, Normal Dist., Regression,..

## Financial Calculators

Simple-Compound Interest, Amortization, Annuity

## Other Calculators

Sets, Work Problems

## How to use this calculator

**Example 1:**

A normally distributed random variable X has a mean of **20** and a standard deviation of **4**.
Determine the probability that a randomly selected x-value is between **15** and **22**.

Set up the form
**Example 2:**

The final exam scores in a statistics class were normally distributed with a mean
of **58** and a standard deviation of **4**. Find the probability that a randomly selected
student scored more than **62** on the exam.

Set up the form
**Example 3:**

The target inside diameter is 50 mm but
records show that the diameters follows a normal distribution with mean 50 mm and
standard deviation 0.05 mm.
An acceptable diameter is one within the range 49.9 mm to 50.1 mm. What
proportion of the output is acceptable?

Set up the form
31 809 917 solved problems