Probability Distributions: Discrete, Continuous, Normal Distribution, Binomial, Poisson, Exponential & Applications

Probability Distributions - Complete Guide

Feb 9, 2026
STATISTICS

Probability distributions describe how values in a dataset are spread across a range. They’re fundamental to statistics, providing the foundation...

10 min Read

Beta Type I Distribution

Feb 9, 2026
STATISTICS

Beta Type I Distribution A continuous random variable $X$ is said to have a beta type I distribution with parameters...

3 min Read

Beta Type I Distribution Examples

Feb 9, 2026
STATISTICS

Definition of Beta Type I Distribution A continuous random variable $X$ is said to have a beta type I distribution...

3 min Read

Beta Type II Distribution

Feb 9, 2026
STATISTICS

Beta Type II Distribution A continuous random variable $X$ is said to have a beta type II distribution with parameters...

3 min Read

Beta Type II Distribution Examples

Feb 9, 2026
STATISTICS

Beta Type II Distribution A continuous random variable $X$ is said to have a beta type II distribution with parameters...

1 min Read

Cauchy Distribution

Feb 9, 2026
STATISTICS

Cauchy Distribution A continuous random variable $X$ is said to follow Cauchy distribution with parameters $\mu$ and $\lambda$ if its...

8 min Read

Cauchy Distribution Examples

Feb 9, 2026
STATISTICS

Cauchy Distribution A continuous random variable $X$ is said to follow Cauchy distribution with parameters $\mu$ and $\lambda$ if its...

1 min Read

Chebyshev Inequality Rule

Feb 9, 2026
STATISTICS

Chebyshev’s Inequality Chebyshev’s Theorem If $g(x)$ is a non-negative function and $f(x)$ be p.m.f. or p.d.f. of a random variable...

4 min Read

Chebyshev Inequality Rule Examples

Feb 9, 2026
STATISTICS

Chebyshev’s Inequality Let $X$ be a random variable with mean $\mu$ and finite variance $\sigma^2$. Then for any real constant...

3 min Read

Continuous Uniform Distribution

Feb 9, 2026
STATISTICS

Continuous Uniform Distribution A random variable has a uniform distribution if each value of the random variable is equally likely...

4 min Read

Expected value and variance of probability distribution

Feb 9, 2026
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

Laplace Distribution

Feb 9, 2026
STATISTICS

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

8 min Read