Probability Distribution

Probability Distribution describes how the possible values of a random variable are distributed along with their chances of occurring. It helps us understand the likelihood of different outcomes and forms the foundation of statistics, data analysis, and many real-life applications.

Foundations

Start here to understand the basics of probability distributions, random variables, probability functions, expected value, and variance.

• Introduction to Probability Distribution
• Random Variable
• Discrete Random Variable
• Probability Distribution Function
• Probability Mass Function (PMF)
• Probability Density Function (PDF)
• Expected Value and Variance

Discrete Distributions

Learn about probability distributions with countable outcomes using PMF, including Bernoulli, Binomial, Geometric, Poisson, and Uniform distributions.

• Discrete Probability Distribution
• Bernoulli Trials and Binomial Distribution
• Binomial Distribution
• Binomial Mean and Standard Deviation
• Variance of Binomial Distribution
• Geometric Distribution
• Geometric Distribution Formula
• Poisson Distribution
• Uniform Distribution
• Binomial vs Poisson Distribution

Continuous Distributions

Understand probability distributions with continuous outcomes using PDF, including Normal, Uniform, and other important continuous distributions.

• Continuous Probability Distributions
• Normal Distribution
• Standard Normal Distribution
• Z-Score Table
• How to Find Probability Using Mean and Variance
• How to Find Probability Between Two Z-Scores
• Normal vs Non-Normal Distribution
• Continuous vs Discrete Uniform Distribution
• Continuous Probability Distributions
• Coefficient of Skewness
• Positively Skewed Distribution
• Negatively Skewed Distribution

Quick Revision and Practice

Strengthen your understanding with revision notes, solved examples, and practice problems on random variables and probability distributions.

• Last Minute Notes
• Random Variables Practice Problems
• Binomial Distribution Practice Problems
• Poisson Distribution Practice Problems