Discrete Probability Distribution

What is Discrete Probability Distribution?

A probability distribution at specific time for the values and probabilities of discrete random variables is called discrete probability distribution.

What are Requirements of Discrete Probability Distribution?

Requirements of discrete probability distribution are as follows:

  • Probability of discrete random variable lies between 0 and 1: 0 ≤ P (X = x) ≤ 1
  • Sum of probabilities is always equal to 1: ∑P (X = x) = 1

What is Discrete and Continuous Probability Distribution?

Discrete probability distribution deals with the values and probabilities of discrete random variables at specific time whereas the continuous probability distribution deals with the values and probabilities of continuous random variables at specified interval.

Can Expected Value of Discrete Probability Distribution be Negative?

Yes, expected value of discrete probability distribution can be negative.



Discrete Probability Distribution

Discrete probability distribution counts occurrences with finite outcomes. The common examples of discrete probability distribution include Bernoulli, Binomial and Poisson distributions.

In this article we will explore discrete probability distribution along with discrete probability distribution definition, discrete probability distribution condition and discrete probability distribution formulas.

Table of Content

  • What is Discrete Probability Distribution?
    • Conditions for Discrete Probability Distribution
  • Discrete Probability Distribution Formulas
  • Discrete Probability Distribution Mean
  • Discrete Probability Distribution Variance
  • How to Find Discrete Probability Function
  • Types of Discrete Probability Distribution

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What is Discrete Probability Distribution?

A probability distribution that gives the finite trials of a discrete random variable at a given point in time is called a discrete probability distribution. The probability distribution gives the different values of a random variable along with its different probabilities. The two types of probability distribution include discrete probability distribution and continuous probability distribution....

Discrete Probability Distribution Formulas

The different formulas for the discrete probability distribution like probability mass function, cumulative distribution function, mean and variance are given below....

Discrete Probability Distribution Mean

Mean of discrete probability distribution is the average of all the values that a discrete variable can obtain. It is also called as the expected value of the discrete probability distribution. The mean of discrete probability distribution is given by:...

Discrete Probability Distribution Variance

Variance of discrete probability distribution is defined as the product of squared difference of distribution and mean with PMF. The variance of the discrete probability distribution is given by:...

How to Find Discrete Probability Function

Steps to find the discrete probability function are given below:...

Types of Discrete Probability Distribution

The different types of discrete probability distribution are listed below....

Solved Examples on Discrete Probability Distribution

Example 1: Construct the discrete probability table when a coin is tossed two times and X be random variable representing the number of one head....

Practice Questions on Discrete Probability Distribution

Q1. Construct the discrete probability table when a dice is rolled, and X be random variable representing the numbers greater than equal to 3....

FAQs on Discrete Probability Distribution

What is Discrete Probability Distribution?...

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