MIT OpenCourseWare
Introduction to Probability and Statistics
Art: Johannes Kepler, Konjukce Saturnu a Jupiteru Originál, 1596 · Public domain
- Instructors
- Dr. Jeremy Orloff, Dr. Jennifer French Kamrin
- Term
- Spring 2022
- Level
- Undergraduate
- What's inside
- 11 problem sets · 21 exams · 63 solutions · 39 readings · 145 other files · 19 web pages
- Materials open
- MIT OCW
Other versions of this course
- 18.05+summer_2022 · Summer 2022 · On MIT OCW ↗
- 18.05 · Spring 2022 · Study here (this version)
About this course
Source: MIT OpenCourseWare 18.05 Introduction to Probability and Statistics, Spring 2022, Dr. Jeremy Orloff, Dr. Jennifer French Kamrin — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: none is claimed; materials are grouped by MIT's own sections. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- No lecture or session order could be confirmed for this course.
Not included here
60 items from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely. (60 items)
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Classes: Reading and In-class Materials
108 files
- Class 01 Slides: Introduction, Counting, and Sets Download
- Class 01: Problem Solutions Download
- Class 01: Problems Download
- Class 02 Slides: Probability Basics Download
- Class 02: Problem Solutions Download
- Class 02: Problems Download
- Class 03 Slides: Conditional Probability, Independence, and Bayes' Theorem Download
- Class 03: Problem Solutions Download
- Class 03: Problems Download
- Class 04 Slides: Discrete Random Variables: Expected Value Download
- Class 04: Problem Solutions Download
- Class 04: Problems Download
- Class 05a Slides: Variance and Continuous Random Variables Download
- Class 05a: Problem Solutions Download
- Class 05a: Problems Download
- Class 05b Slides: Gallery of Continuous Variables, Histograms Download
- Class 05b: Problem Solutions Download
- Class 05b: Problems Download
- Class 06a Slides: Continuous Expectation and Variance, Quantiles, and Law of Large Numbers Download
- Class 06a: Problem Solutions Download
- Class 06a: Problems Download
- Class 06b Slides: Central Limit Theorem Download
- Class 06b: Problem Solutions Download
- Class 06b: Problems Download
- Class 07 Slides: Joint Distributions, Independence, Covariance and Correlation Download
- Class 07: Problem Solutions Download
- Class 07: Problems Download
- Class 10 Slides: Introduction to Statistics; Maximum Likelihood Estimates Download
- Class 10: Problem Solutions Download
- Class 10: Problems Download
- Class 11 Slides: Bayesian Updating with (Known) Discrete Priors Download
- Class 11: Problem Solutions Download
- Class 11: Problems Download
- Class 12 Slides: Bayesian Updating: Probabilistic Prediction; Odds Download
- Class 12: Problem Solutions Download
- Class 12: Problems Download
- Class 13 Slides: Bayesian Updating with Continuous Priors, Discrete Data Download
- Class 13: Problem Solutions Download
- Class 13: Problems Download
- Class 15 Slides: Conjugate Priors: Beta and Normal Download
- Class 15: Problem Solutions Download
- Class 15: Problems Download
- Class 16 Slides: Choosing Priors; Probability Intervals Download
- Class 16: Problem Solutions Download
- Class 16: Problems Download
- Class 17 Slides: The Frequentist School of Statistics; NHST I Download
- Class 17: Problem Solutions Download
- Class 17: Problems Download
- Class 18 Slides: NHST II Download
- Class 18: Problem Solutions Download
- Class 18: Problems Download
- Class 19 Slides: NHST III Download
- Class 19: Problem Solutions Download
- Class 19: Problems Download
- Class 20 Slides: Comparison of Frequentist and Bayesian Inference Download
- Class 20: Problem Solutions Download
- Class 20: Problems Download
- Class 22 Slides: Confidence Intervals Based on Normal Data Download
- Class 22: Problem Solutions Download
- Class 22: Problems Download
- Class 23 Slides: Confidence Intervals: Three Views; Non-normal Data Download
- Class 23: Problem Solutions Download
- Class 23: Problems Download
- Class 24 Slides: Bootstrap Confidence Intervals Download
- Class 24: Problem Solutions Download
- Class 24: Problems Download
- Class 26 Slides: Linear Regression Download
- Class 26: Problem Solutions Download
- Class 26: Problems Download
- All Probability Reading Download
- All Statistics Reading Download
- Reading 1a: Introduction Download
- Reading 1b: Counting and Sets Download
- Reading 2: Probability: Terminology and Examples Download
- Reading 3: Conditional Probability, Independence and Bayes' Theorem Download
- Reading 4a: Discrete Random Variables Download
- Reading 4b: Discrete Random Variables: Expected Value Download
- Reading 5a: Variance of Discrete Random Variables Download
- Reading 5b: Continuous Random Variables Download
- Reading 5c: Gallery of Continuous Random Variables Download
- Reading 5d: Manipulating Continuous Random Variables Download
- Reading 6a: Expectation, Variance and Standard Deviation for Continuous Random Variables Download
- Reading 6b: Central Limit Theorem and the Law of Large Numbers Download
- Reading 6c: Appendix Download
- Reading 7a: Joint Distributions, Independence Download
- Reading 7b: Covariance and Correlation Download
- Reading 10a: Introduction to Statistics Download
- Reading 10b: Maximum Likelihood Estimates Download
- Reading 11: Bayesian Updating with Discrete Priors Download
- Reading 12a: Bayesian Updating: Probabilistic Prediction Download
- Reading 12b: Bayesian Updating: Odds Download
- Reading 13a: Bayesian Updating with Continuous Priors Download
- Reading 13b: Notational conventions Download
- Reading 14: Continuous Data with Continuous Priors Download
- Reading 15: Conjugate priors: Beta and normal Download
- Reading 16a: Choosing priors Download
- Reading 16b: Probability intervals Download
- Reading 17a: The Frequentist School of Statistics Download
- Reading 17b: Null Hypothesis Significance Testing I Download
- Reading 18: Null Hypothesis Significance Testing II Download
- Reading 19: Null Hypothesis Significance Testing III Download
- Reading 20: Comparison of frequentist and Bayesian inference Download
- Reading 22: Confidence intervals based on normal data Download
- Reading 23a: Confidence Intervals: Three Views Download
- Reading 23b: Confidence Intervals for the Mean of Non-normal Data Download
- Reading 24: Bootstrap confidence intervals Download
- Reading 26: Linear regression Download
- Studio 1: Birthday Matches Download
Problem Sets
22 problem sets
- Problem Set 01 Download
- Problem Set 01 Solutions Download
- Problem Set 02 Download
- Problem Set 02 Solutions Download
- Problem Set 03 Download
- Problem Set 03 Solutions Download
- Problem Set 04 Download
- Problem Set 04 Solutions Download
- Problem Set 05 Download
- Problem Set 05 Solutions Download
- Problem Set 06 Download
- Problem Set 06 Solutions Download
- Problem Set 07 Download
- Problem Set 07 Solutions Download
- Problem Set 08 Download
- Problem Set 08 Solutions Download
- Problem Set 09 Download
- Problem Set 09 Solutions Download
- Problem Set 10 Download
- Problem Set 10 Solutions Download
- Problem Set 11 Download
- Problem Set 11 Solutions Download
Exams
39 files
- Class 08 Slides: Exam 1 Review Download
- Class 21 Slides: Exam 2 Review Download
- Exam 1 Download
- Exam 1 Review List Download
- Exam 1 Review: All Questions: Solutions Download
- Exam 1 Review: All Questions: Solutions Download
- Exam 1 Review: In-class: Problem Solutions Download
- Exam 1 Review: In-class: Problems Download
- Exam 1 Review: Practice 1: Solutions Download
- Exam 1 Review: Practice 1: Solutions Download
- Exam 1 Solutions Download
- Exam 2 Download
- Exam 2 Review: In-class: Problem Solutions Download
- Exam 2 Review: In-class: Problems Download
- Exam 2 Solutions Download
- Final Exam Review: in-class problems: problems Download
- Final Exam Review: in-class problems: solutions Download
- Normal Probability Table Download
- Summary of NHST Download
- Probability Tables Download
- Final Exam Download
- Final Exam Solutions Download
- Final Exam Review: In-class: Problems Download
- Final Exam Review: In-class: Problem Solutions Download
- Final Exam Review: in-class problems: problems Download
- Practice Final Exam Download
- Practice Final Exam Probability Unit Download
- Practice Final Exam Probability Unit Solutions Download
- Practice Final Exam Solutions Download
- Practice Exam 1 All Questions Download
- Practice Exam 1a Download
- Practice Exam 1b Download
- Practice Exam 1b Solutions Download
- Practice Exam 2a Download
- Practice Exam 2a Solutions Download
- Practice Exam 2b Download
- Practice Exam 2b Solutions Download
- Practice Post Exam 2 Download
- Practice Post Exam 2 Solutions Download
R Studio Resources
36 files
- R Quiz Download
- R Quiz Solutions (R) Download
- R Quiz Materials Download
- R Quiz Practice Download
- R Quiz Practice Solutions (R) Download
- R Quiz Practice Materials Download
- Studio 1 Solutions (R) Download
- Studio 1 Materials Download
- Studio 2 Solutions (R) Download
- Studio 2 Materials Download
- Studio 3 Solutions (R) Download
- Studio 3 Materials Download
- Studio 4 Solutions (R) Download
- Studio 4 Materials Download
- Studio 5 Solutions (R) Download
- Studio 5 Materials Download
- Studio 6 Solutions (R) Download
- Studio 6 Materials Download
- Studio 7 Solutions (R) Download
- Studio 7 Materials Download
- Studio 8 Solutions (R) Download
- Studio 8 Materials Download
- Studio 9 Solutions (R) Download
- Studio 9 Materials Download
- Studio 10 Solutions (R) Download
- Studio 10 Materials Download
- R Studio 1 Download
- R Studio 2 Download
- R Studio 3 Download
- R Studio 4 Download
- R Studio 5 Download
- R Studio 6 Download
- R Studio 7 Download
- R Studio 8 Download
- R Studio 9 Download
- R Studio 10 Download
Materials for Teachers
36 files
- R Studio 1 for Teachers Download
- R Studio 2 for Teachers Download
- R Studio 3 for Teachers Download
- R Studio 4 for Teachers Download
- R Studio 5 for Teachers Download
- R Studio 6 for Teachers Download
- R Studio 7 for Teachers Download
- R Studio 8 for Teachers Download
- R Studio 9 for Teachers Download
- R Studio 10 for Teachers Download
- R Quiz Practice for Teachers Download
- R Quiz for Teachers Download
- Class 1 Plan Download
- Class 2 Plan Download
- Class 3 Plan Download
- Class 4 Plan Download
- Class 5a Plan Download
- Class 5b Plan Download
- Class 6a Plan Download
- Class 6b Plan Download
- Class 7 Plan Download
- Class 8 Plan Download
- Class 10 Plan Download
- Class 11 Plan Download
- Class 12 Plan Download
- Class 13 Plan Download
- Class 15 Plan Download
- Class 16 Plan Download
- Class 17 Plan Download
- Class 18 Plan Download
- Class 19 Plan Download
- Class 20 Plan Download
- Class 22 Plan Download
- Class 23 Plan Download
- Class 24 Plan Download
- Class 26 Plan Download
R: Information, Tutorials, and Sample Code
30 files
- Sample Plotting Script (R) (Short script showing basic plotting in R) Download
- Sample Histogram Script (R) (Shows the basics of using “hist()") Download
- Script: Demonstrating “which()” (R) (Used for finding indices) Download
- Script: Showing Easy Plotting and Shading (R) (Shows how to use the “curve()” and “polygon()” function) Download
- Script: Using colors (R) Download
- Script: Printing in Math Notation and Symbols (R) Download
- R Code for Class 6 (R) Download
- R Code for Class 7 (R) Download
- R Code that generate samples from joint PDF (R) Download
- Examples of NHST (R) Download
- Empirical Bootstrap Example (R) Download
- Parametric Bootstrap Example (R) Download
- R Code for Problem Set 1 (R) Download
- R Code for Problem Set 1 Solutions (R) Download
- R Code for Problem Set 2 (R) (Computes the exact probability of a run of a given length) Download
- R Code for Problem Set 2 Solutions (R) Download
- R Code for Problem Set 3 (R) (problem 2 data) Download
- R Code for Problem Set 3 Solutions (R) Download
- R Code for Problem Set 4 Solutions (R) Download
- R Code for Problem Set 5 Solutions (R) Download
- R Code for Problem Set 6 Solutions (R) Download
- R Code for Problem Set 7 Solutions (R) Download
- R Code for Problem Set 8 Solutions (R) Download
- R Code for Problem Set 9 Solutions (R) Download
- R Code for Problem Set 10 Solutions (R) Download
- R Code for Problem Set 11 Solutions (R) Download
- colMatches (R) Download
- Resets Everthing in RStudio (R) Download
- Oldfaithful (R) Download
- Oldfaithful data Download
Other materials from this course
MIT OpenCourseWare, Dr. Jeremy Orloff, Dr. Jennifer French Kamrin, 18.05 Introduction to Probability and Statistics, Spring 2022.
License: CC BY-NC-SA 4.0 · Edition: Spring 2022 · Open the original course on OCW ↗
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