Probability Distribution Function
What is Probability Distribution Function?
A function that relates all the possible outcomes of an experiment with their corresponding probabilities is called the Probability Distribution Function.
Why Do We Need a Probability Distribution Function?
The probability distribution function is the integral of the probability density function. This function is very useful because it tells us about the probability of an event that will occur in a given interval.
What Are Main Properties of Probability Distribution?
Probability Distribution Function has Various properties and some of the properties of the Probability Distribution Function are,
- Probability of each function is between zero and one.
- The sum of the probabilities of all the related functions is one.
What are Main Types of Probability Distributions?
There are various types of probability distribution and some of the common types of probability distribution include,
- Binomial Distribution
- Poisson Distribution
- Normal Distribution
- Uniform Distribution, etc.
What is Difference between Probability Mass Function (PMF) and Probability Density Function (PDF)?
The basic difference between Probability Mass Functions (PMF) and Probability Distribution Functions (PDF) is PMFs are used to describe discrete probability distributions whereas PDFs are used to describe continuous probability distributions.
Probability Distribution Function
Probability Distribution Function is a function in mathematics that gives the probability of all the possible outcomes of any event. We define probability distribution as how all the possible probabilities of any event are allocated over the distinct values for an unexpected variable.
Two functions are used to describe the Probability Distribution of the function which includes, Probability Mass Function and Probability Distribution Function. Here in this article, we will learn about the Probability Distribution Function. There are two ways to represent the data, Discrete Data and Continuous Data, and based on that we can represent the Probability Distribution Function into two further categories.
In this article, we will learn about Probability Distribution, Probability Distribution Function, its Formula, Graphs, related Examples, and others in detail.
Table of Content
- What is Probability Distribution?
- Probability Distribution Definition
- Probability Distribution Function
- Probability Distribution Function Definition
- Probability Distribution Function Formula
- Probability Distribution of a Discrete Random Variable
- Probability Distribution of a Continuous Random Variable
- Normal Probability Distribution Formula
- Binomial Probability Distribution Formula
- Probability Distribution Graph
- Probability Distribution Function and Probability Density Function
- Uses of Probability Distribution Function
- Probability Distribution Function Examples
- Practice Questions on Probability Distribution Function