# Uniform Distribution Calculator

**Uniform Distribution Calculator** calculates the probability distribution for the given values.A uniform distribution is defined as a continuous probability distribution and relates to the events which are likely to occur equally.Probability distribution is a function that is used to give the probability of all the possible values that a random variable can take.

## What is Uniform Distribution Calculator?

**Uniform Distribution Calculator** is an online tool that helps to calculate the probability distribution for the given values. This online uniform distribution calculator helps you to calculate the probability distribution in a few seconds. To use this uniform distribution calculator, enter the values in the given input box.

### Uniform Distribution Calculator

## How to Use Uniform Distribution Calculator?

Please follow the steps below to find the probability distribution using an online uniform distribution calculator:

**Step 1:**Go to online uniform distribution calculator.**Step 2:**Enter the values of 'a' and 'b' in the given input box of the uniform distribution calculator.**Step 3:**Click on the**"Calculate"**button to find the probability distribution for the given values.**Step 4:**Click on the**"Reset"**button to clear the fields and enter the new values.

## How Uniform Distribution Calculator Works?

A uniform distribution is defined by two parameters, a and b, where a is the minimum value and b is the maximum value. It is generally denoted as u(a, b). The probability density function graphically is portrayed as a rectangle where b - a is the base and 1/(b-a) is the height. The formula to calculate the uniform distribution is given by

f(x) = 1/(b - a) for a ≤ x ≤ b

= 0 (otherwise)

Where 'a' is the minimum value and 'b ' is the maximum value.

Let us understand this with the help of the following example.

## Solved Examples on Uniform Distribution Calculator

**Example 1:**

Find the uniform distribution if the minimum value is 3 and the maximum value is 5 and verify it using the uniform distribution calculator.

**Solution:**

Given: Minimum value(a) = 3 and maximum value(b) = 5

f(x) = 1/(b - a)

= 1/(5 - 3)

= 1/2

= 0.5

**Example 2:**

Find the uniform distribution if the minimum value is 7 and the maximum value is 10 and verify it using the uniform distribution calculator.

**Solution:**

Given: Minimum value(a) = 7 and maximum value(b) = 10

f(x) = 1/(b - a)

= 1/(10 - 7)

= 1/3

= 0.33

**Example 3:**

Find the uniform distribution if the minimum value is 2 and the maximum value is 6 and verify it using the uniform distribution calculator.

**Solution:**

Given: Minimum value(a) = 2 and maximum value(b) = 6

f(x) = 1/(b - a)

= 1/(6 - 2)

= 1/4

= 0.25

Similarly, you can try the uniform distribution calculator and find the probability distribution for:

- Minimum value(a) = 4 and maximum value(b) = 7
- Minimum value(a) = -2 and maximum value(b) = 5

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