GateXAIML · Probability & Statistics Concept Notes
Probability & Statistics
Pure concept notes for all 8 chapters (Counting through Central Limit Theorem & Confidence Intervals) — definitions, worked examples and diagrams, with GATE PYQs and practice problems left out. Pick a chapter from the sidebar or below.
Chapter 1
Counting
What is Combinatorics?, Key Areas in Combinatorics, Applications of Combinatorics...
Chapter 2
Introduction to Statistics
Motivation, Why Do We Sample?, How Does Inference Work?...
Chapter 3
The Probability Theory
Examples, Probability Rules, Conditional Probability...
Chapter 4
The Random Variables
Introduction, Overview of Discrete Probability Distributions, Overview of Continuous Probability Distributions...
Chapter 5
Mean and Variance of a Random Variable
Mean, Expectation of Joint and Marginal Distributions, Expectation of Conditional Probability Distribution...
Chapter 6
Discrete Probability Distributions
Bernoulli trials and Binomial distribution, Poisson Distribution, Uniform Distribution
Chapter 7
Continuous Probability Distributions
Uniform Distribution, Examples, Exponential Distribution...
Chapter 8
Central Limit Theorem and Confidence Intervals
The Central Limit Theorem, Examples, Confidence Intervals