This unit introduces continuous random variables and develops their properties in a manner that parallels the development for the discrete case. In addition, it covers a few more advanced topics such as the derivation of the distribution of a function of a random variable, covariance and correlation, and a more abstract view of the conditional expectation.
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Looking for something specific in this course? The Resource Index compiles links to most course resources in a single page.
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Review the recitation problems in the PDF file below and try to solve them on your own. Three of the problems have an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 1 | Inferring a Discrete Random Variable from a Continuous Measurement | Jimmy Li |
| 2 | Inferring a Continuous Random Variable from a Discrete Measurement | Jimmy Li |
| 3 | A Derived Distribution Example | Jimmy Li |
Review the tutorial problems in the PDF file below and try to solve them on your own. Two of the problems have an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 2 | The Probability Distribution Function (PDF) of [X] | Jimmy Li |
| 3 | Ambulance Travel Time | Kuang Xu |
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Review the recitation problems in the PDF file below and try to solve them on your own. One of the problems has an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 2 | The Difference of Two Independent Exponential Random Variables | Kuang Xu |
Review the tutorial problems in the PDF file below and try to solve them on your own. One of the problems has an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 1 | The Sum of Discrete and Continuous Random Variables | Jagdish Ramakrishnan |
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Review the recitation problems in the PDF file below and try to solve them on your own. Two of the problems have an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 2 | The Variance in the Stick Breaking Problem | Jimmy Li |
| 3 | Widgets and Crates | Jimmy Li |
Review the tutorial problems in the PDF file below and try to solve them on your own. Two of the problems have an accompanying video where a teaching assistant solves the same problem. There is also a bonus video solving a problem not represented in the tutorial problems.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 2 | Using the Conditional Expectation and Variance | Katie Szeto |
| 3 | A Random Number of Coin Flips | Katie Szeto |
| Bonus Problem | A Coin with Random Bias | Jimmy Li |
Work the problems on your own and check your answers when you’re done. Problem set 6 covers Lectures 10, 11, and 12.
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Review the recitation problems in the PDF file below and try to solve them on your own. Three of the problems have an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 1 | Calculating a Cumulative Distribution Function (CDF) | Jimmy Li |
| 2 | A Mixed Distribution Example | Jagdish Ramakrishnan |
| 3 | Mean and Variance of the Exponential | Jagdish Ramakrishnan |
Review the tutorial problems in the PDF file below and try to solve them on your own. One of the problems has an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 1 | Normal Probability Calculation | Jagdish Ramakrishnan |
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Review the recitation problems in the PDF file below and try to solve them on your own. Two of the problems have an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 3 | Uniform Probabilities on a Triangle | Jimmy Li |
| 4 | Probability that Three Pieces Form a Triangle | Jimmy Li |
Review the tutorial problems in the PDF file below and try to solve them on your own. One of the problems has an accompanying video where a teaching assistant solves the same problem.
| PROBLEM # | PROBLEM TITLE | PROBLEM SOLVED BY |
|---|---|---|
| 3 | The Absent Minded Professor | Jimmy Li |
Work the problems on your own and check your answers when you’re done. Problem set 5 covers Lectures 8 and 9.
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Quiz 2 covers the following material
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Take the quiz on your own and check your answers when you’re done.
