AP®︎ Statistics Unit 2: Notes & Study Guide

Prepare for your quiz, test, or the AP exam with a comprehensive review on Unit 2 of AP Statistics – Probability, Random Variables, and Probability Distributions.

Exam weight: 15-25%
12 Topics

Unit 2: Probability, Random Variables, and Probability Distributions

How to compute and interpret probabilities, work with random variables and the binomial distribution, and understand sampling distributions and the central limit theorem.

Begin with Topic 2.1: Tabular and Graphical Rep...

To review Unit 2, go through each of the 12 topics below.

Everything you actually need to know for your Unit 2 test, pulled directly from the AP® Statistics curriculum.

Topic 2.1
~7 min
Review
Tabular and Graphical Representations for the Distributions of Two Categorical Variables
Tabular and Graphical Representations for the Distributions of Two Categorical Variables
  • What It Means for Two Categorical Variables to Be Associated
  • Two-Way Tables and What to Read From Them
  • Graphs for Two Categorical Variables
Review
Topic 2.2
~7 min
Review
Summary Statistics for Two Categorical Variables
Summary Statistics for Two Categorical Variables
  • What Relative Frequencies in a Two-Way Table Mean
  • Joint, Marginal, and Conditional Relative Frequencies
  • How to Calculate the Right Summary
Review
Topic 2.3
~7 min
Review
Estimating Probabilities Using Simulation
Estimating Probabilities Using Simulation
  • What Simulation Probability Is
  • Designing a Valid Simulation
  • How to Run and Read a Simulation
Review
Topic 2.4
~6 min
Review
Introduction to Probability
Introduction to Probability
  • What Probability Is
  • Building the Sample Space and Event
  • Finding Probabilities from a Model
Review
Topic 2.5
~6 min
Review
Mutually Exclusive Events
Mutually Exclusive Events
  • What Mutually Exclusive Events Are
  • How to Decide Whether Events Are Mutually Exclusive
  • Ways AP Stats Shows This
Review
Topic 2.6
~6 min
Review
Conditional Probability
Conditional Probability
  • What Conditional Probability Is
  • How to Find Conditional Probability
  • The General Multiplication Rule
Review
Topic 2.7
~5 min
Review
Independent Events and Unions of Events
Independent Events and Unions of Events
  • What Independence and Union Mean
  • The Probability Rules You Need
  • How to Choose the Right Rule
Review
Topic 2.8
~6 min
Review
Introduction to Random Variables and Probability Distributions
Introduction to Random Variables and Probability Distributions
  • What a Random Variable and Its Distribution Are
  • How to Construct a Discrete Probability Distribution
  • Ways to Represent the Distribution
Review
Topic 2.9
~6 min
Review
Parameters of Random Variables
Parameters of Random Variables
  • What the Parameters of a Discrete Random Variable Are
  • Mean, Variance, and Standard Deviation
  • How to Calculate Them from a Probability Distribution
Review
Topic 2.10
~6 min
Review
The Binomial Distribution
The Binomial Distribution
  • What a Binomial Random Variable Is
  • Finding Binomial Probabilities
  • Mean and Standard Deviation of a Binomial Distribution
Review
Topic 2.11
~6 min
Review
The Normal Distribution
The Normal Distribution
  • What a Normal Distribution Is
  • Z-scores and the Standard Normal
  • The Empirical Rule
Review
Topic 2.12
~8 min
Review
Sampling Distributions and the Central Limit Theorem
Sampling Distributions and the Central Limit Theorem
  • What a Sampling Distribution Is
  • Simulating a Sampling Distribution
  • Randomization Distributions
Review

Notes

1 credit used · 5/5 remaining