18.05 | Spring 2022 | Undergraduate

Introduction to Probability and Statistics

Lecture Notes

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218 kB
Class 01 Slides: Introduction, Counting, and Sets
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25 kB
Studio 1: Birthday Matches
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91 kB
Class 02 Slides: Probability Basics
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Class 03 Slides: Conditional Probability, Independence, and Bayes' Theorem
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202 kB
Class 04 Slides: Discrete Random Variables: Expected Value
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164 kB
Class 05a Slides: Variance and Continuous Random Variables
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94 kB
Class 05b Slides: Gallery of Continuous Variables, Histograms
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Class 06a Slides: Continuous Expectation and Variance, Quantiles, and Law of Large Numbers
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713 kB
Class 06b Slides: Central Limit Theorem
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155 kB
Class 07 Slides: Joint Distributions, Independence, Covariance and Correlation
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87 kB
Class 08 Slides: Exam 1 Review
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Class 10 Slides: Introduction to Statistics; Maximum Likelihood Estimates
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Class 11 Slides: Bayesian Updating with (Known) Discrete Priors
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130 kB
Class 12 Slides: Bayesian Updating: Probabilistic Prediction; Odds
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190 kB
Class 13 Slides: Bayesian Updating with Continuous Priors, Discrete Data
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169 kB
Class 15 Slides: Conjugate Priors: Beta and Normal
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332 kB
Class 16 Slides: Choosing Priors; Probability Intervals
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358 kB
Class 17 Slides: The Frequentist School of Statistics; NHST I
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149 kB
Class 18 Slides: NHST II
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mit18_05_s22_plan01.txt
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mit18_05_s22_plan02.txt
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mit18_05_s22_plan03.txt
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mit18_05_s22_plan04.txt
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mit18_05_s22_plan05.txt
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mit18_05_s22_plan05b.txt
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mit18_05_s22_plan06.txt
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mit18_05_s22_plan06b.txt
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mit18_05_s22_plan07.txt
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mit18_05_s22_plan08.txt
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mit18_05_s22_plan10.txt
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mit18_05_s22_plan11.txt
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mit18_05_s22_plan12.txt
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mit18_05_s22_plan13.txt
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mit18_05_s22_plan15.txt
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mit18_05_s22_plan16.txt
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mit18_05_s22_plan17.txt
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mit18_05_s22_plan18.txt
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mit18_05_s22_plan19.txt
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mit18_05_s22_plan20.txt
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mit18_05_s22_plan22.txt
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mit18_05_s22_plan23.txt
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mit18_05_s22_plan24.txt
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mit18_05_s22_plan26.txt
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Class 19 Slides: NHST III
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Class 20 Slides: Comparison of Frequentist and Bayesian Inference
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Class 21 Slides: Exam 2 Review
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Class 22 Slides: Confidence Intervals Based on Normal Data
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Class 23 Slides: Confidence Intervals: Three Views; Non-normal Data
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Class 24 Slides: Bootstrap Confidence Intervals
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184 kB
Class 26 Slides: Linear Regression

Course Info

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As Taught In

Spring 2022

Level

Undergraduate

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