Statistics : Probability Distribution Tutorials

Discrete Uniform Distribution Guide

Feb 20, 2024
STATISTICS

Discrete Uniform Distribution A discrete random variable has a discrete uniform distribution if each value of the random variable is...

4 min Read

Expected value and variance of probability distribution

Feb 20, 2024
STATISTICS

Example Find the expected value and variance of $X$ for the following probability distribution. $x$ 1 2 3 4 $P(X=x)$...

1 min Read

Exponential Distribution

Feb 20, 2024
STATISTICS

Exponential distribution Exponential Distribution Definition A continuous random variable $X$ is said to have an exponential distribution with parameter $\theta$...

5 min Read

Gamma Distribution

Feb 20, 2024
STATISTICS

Gamma Distribution Gamma distribution is used to model a continuous random variable which takes positive values. Gamma distribution is widely...

5 min Read

Gamma Distribution Examples

Feb 20, 2024
STATISTICS

Definition of Gamma Distribution A continuous random variable $X$ is said to have an gamma distribution with parameters $\alpha$ and...

1 min Read

Geometric Distribution

Feb 20, 2024
STATISTICS

Introduction Geometric distribution is used to model the situation where we are interested in finding the probability of number failures...

9 min Read

Hypergeometric Distribution

Feb 20, 2024
STATISTICS

Hypergeometric Experiment A hypergeometric experiment is an experiment which satisfies each of the following conditions: The population or set to...

3 min Read

Laplace Distribution

Feb 20, 2024
STATISTICS

Laplace Distribution A continuous random variable $X$ is said to have a Laplace distribution (Double exponential distribution or bilateral exponential...

8 min Read

Negative Binomial Distribution

Feb 20, 2024
STATISTICS

Introduction A negative binomial distribution is based on an experiment which satisfies the following three conditions: An experiment consists of...

8 min Read

Normal Approximation to Poisson Distribution

Feb 20, 2024
STATISTICS

Normal approximation to Poisson distribution In this tutorial we will discuss some numerical examples on Poisson distribution where normal approximation...

3 min Read

Normal Distribution

Feb 20, 2024
STATISTICS

Normal Distribution Normal distribution is one of the most fundamental distribution in Statistics. It is also known as Gaussian distribution....

10 min Read

Poisson approximation to binomial distribution

Feb 20, 2024
STATISTICS

Poisson approximation to binomial distribution Let $X$ be a binomially distributed random variable with number of trials $n$ and probability...

3 min Read