Formula of Continuous and Discrete Uniform Distribution
Below are formulas of continuous and discrete uniform distribution:
Distribution Type | Description | Probability Density Function/ Probability Mass Function | Cumulative Distribution Function |
---|---|---|---|
Discrete Uniform | Finite set of equally likely outcomes | P(X=x)= 1/n for x=x1,x2,…,xn | F(x)=Number of outcomes ≤ x/n |
Continuous Uniform | Continuous range of equally likely outcomes between a and b | f(x)= 1/(b-a) for a ≤ x ≤ b | F(x)= [Tex]\begin{cases} 0 & \text{if } x < a \\ \frac{x – a}{b – a} & \text{if } a \leq x \leq b \\ 1 & \text{if } x > b \end{cases}[/Tex] |
Difference between Continuous and Discrete Uniform Distribution
Continuous and discrete uniform distributions are two types of probability distributions. A continuous uniform distribution has an interval of equally likely values. Instead, a discrete uniform distribution applies to a finite set of outcomes with equal probabilities.
In this article, we will discuss continuous and discrete uniform distribution along with a difference between them.
Table of Content
- What is Continuous Distribution?
- What is Discrete Uniform Distribution?
- Formula of Continuous and Discrete Uniform Distribution
- Difference between Continuous and Discrete Uniform Distribution
Contact Us