Probability Models and Axioms |
Lecture 1: Probability Models and Axioms1
| Lecture 1: Probability Models and Axioms Slides (PDF) | Sections 1.1–1.2 |
Recitation 1 Problems (PDF) Recitation 1 Solutions (PDF)
| None |
The Probability of the Difference of Two Events (00:05:55)
Geniuses and Chocolates (00:08:43)
Uniform Probabilities on a Square (00:09:17)
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Problem Set 1 (PDF) Problem Set 1 Solutions (PDF)
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Conditioning and Bayes' Rule |
Lecture 2: Conditioning and Bayes' Rule2
| Lecture 2: Conditioning and Bayes' Rule Slides (PDF) | Sections 1.3–1.4 |
Recitation 2 Problems (PDF) Recitation 2 Solutions (PDF)
| None |
A Coin Tossing Puzzle (00:08:11)
Conditional Probability Example (00:14:22)
The Monty Hall Problem (00:15:59)
| None |
Independence |
Lecture 3: Independence
| Lecture 3: Independence Slides (PDF) | Section 1.5 |
Recitation 3 Problems (PDF) Recitation 3 Solutions (PDF)
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Tutorial 1 Problems (PDF) Tutorial 1 Solutions (PDF)
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A Random Walker (00:05:52)
Communication over a Noisy Channel (00:19:53)
Network Reliability (00:17:24)
A Chess Tournament Problem (00:18:33)
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Problem Set 2 (PDF) Problem Set 2 Solutions (PDF)
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Counting |
Lecture 4: Counting
| Lecture 4: Counting Slides (PDF) | Section 1.6 |
Recitation 4 Problems (PDF) Recitation 4 Solutions (PDF)
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Tutorial 2 Problems (PDF) Tutorial 2 Solutions (PDF)
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Rooks on a Chessboard (00:18:28)
Hypergeometric Probabilities (00:05:49)
| None |
Discrete Random Variables; Probability Mass Functions; Expectations |
Lecture 5: Discrete Random Variables; Probability Mass Functions; Expectations
| Lecture 5: Discrete Random Variables; Probability Mass Functions; Expectations Slides (PDF) | Sections 2.1–2.3 |
Recitation 5 Problems (PDF) Recitation 5 Solutions (PDF)
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Tutorial 2 Problems (PDF) Tutorial 2 Solutions (PDF) Tutorial 3 Problems (PDF) Tutorial 3 Solutions (PDF)
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Sampling People on Buses (00:11:56)
PMF of a Function of a Random Variable (00:15:26)
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Problem Set 3 (PDF) Problem Set 3 Solutions (PDF)
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Discrete Random Variable Examples; Joint PMFs |
Lecture 6: Discrete Random Variable Examples; Joint PMFs
| Lecture 6: Discrete Random Variable Examples; Joint PMFs Slides (PDF) | Sections 2.4–2.6 |
Recitation 6 Problems (PDF) Recitation 6 Solutions (PDF)
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Tutorial 3 Problems (PDF) Tutorial 3 Solutions (PDF)
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Flipping a Coin a Random Number of Times (00:08:43)
Joint Probability Mass Function (PMF) Drill 1 (00:17:37)
The Coupon Collector Problem (00:07:15)
| None |
Multiple Discrete Random Variables |
Lecture 7: Multiple Discrete Random Variables
| Lecture 7: Multiple Discrete Random Variables Slides (PDF) | Sections 2.6–2.7 |
Recitation 7 Problems (PDF) Recitation 7 Solutions (PDF)
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Tutorial 3 Problems (PDF) Tutorial 3 Solutions (PDF)
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Joint Probability Mass Function (PMF) Drill 2 (00:13:45)
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Problem Set 4 (PDF) Problem Set 4 Solutions (PDF)
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