In a Uniform Distribution Probability Density Function (PDF) is same for all the possible X values. Sometimes this is called a Rectangular Distribution.
There are two (2) parameters in this distribution, a minimum (A) and a maximum (B)
![Uniform Probability Distribution](https://datasciencelk.com/wp-content/uploads/2020/04/uniform-distribution-1024x705.jpg)
It is written as U(A,B)
![pdf of uniform distribution](https://datasciencelk.com/wp-content/uploads/2020/04/fx.png)
Detailed Example
Waiting time for a bus is uniformly distributed between 0-15 minutes. We need to find the probability that a person waits less than 10 minutes.
![example illustration for uniform probability distribution](https://datasciencelk.com/wp-content/uploads/2020/04/uniform-example-1-1024x692.jpeg)
We need to find the area of the shaded area to get the probability.
P(X ≤ 10) = 10 * (1/15) = 0.667
Expected Value and Variance – Uniform Distribution
![Expected Value and Variance - Uniform Distribution](https://datasciencelk.com/wp-content/uploads/2020/04/EX-AND-VX.png)