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