Data 88S: Probability and Mathematical Statistics for Data Science
UC Berkeley, Summer 2023
Week 8
- The homework on last week’s material, Homework 7 is due Monday, August 7th, at 11:59 PM. There are NO extensions on Homework 7.
- The final is on Thursday, August 10th at 10:30AM - 1:30PM in McCone 141. It will cover Chapters 1 through 11. Please see #126 on Ed.
Calendar
Week 1: The Fundamentals
- Jun 19
- Juneteenth Holiday
- Jun 20
- Section 1
- Ch 1 Ex 1, 3, 5, 2, 4
- Jun 21
- Jun 22
- Lecture 3 Updating chances; independence
- Ch 2.3 - 2.5
- Section 2
- Ch 2 Ex 7, 5, 10, 4, 11, 6
Week 2: Random Variables and Random Counts
- Jun 26
- Lecture 4 Random variables
- Ch 3.1 - 3.2
- Jun 27
- Lecture 5 Random counts: binomial
- Ch 3.3
- Section 3
- Ch 3 Ex 1, 2, 7, 9, 3, 8
- Jun 28
- Lecture 6 Random counts: hypergeometric
- Ch 3.4 - 3.5
- Jun 29
- Lecture 7 Exponential approximations; geometric
- Ch 4.1 - 4.3
- Section 4
- Ch 3 Ex 6, 10; Ch 4, Ex 4, 6, 5
Week 3: The Poisson Distribution and Expectation
- Jul 3
- Lecture 8 Law of small numbers; Poisson
- Ch 4.4
- Jul 4
- Independence Day Holiday
- Jul 5
- Lecture 9 Expectation and additivity
- Ch 5.1 - 5.3
- Jul 6
- Lecture 10 Unbiased estimators
- Ch 5.4
- Section 5
- Ch 4, Ex 7c, 6; Ch 5, Ex 4, 6, 9, 11, 7
Week 4: Conditioning and Variance
- Jul 10
- Lecture 11 Expectation by conditioning
- Ch 5.5 - 5.6
- Jul 11
- Lecture 12 Standard deviation; tail bounds
- Ch 6.1 - 6.4
- Section 6
- Ch 5, Ex 13, 14, 15; Ch 6, Ex 2, 4, 7, 5
- Jul 12
- Lecture 13 Variance and additivity: binomial and hypergeometric
- Ch 7.1 - 7.2
- Jul 13
- Lecture 14 Large samples: law of large numbers
- Ch 7.3
- Section 7
- Ch 7, Ex 1, 3, 9, 4, 8; Law of Averages Question (not in textbook)
Week 5: The Central Limit Theorem, Hypothesis Testing, and Densities
- Jul 17
- Lecture 15 Central Limit Theorem
- Ch 8.1 - 8.4
- Jul 18
- Lecture 16 Confidence intervals
- Ch 9.1 - 9.2
- Section 8
- Ch 8, Ex 1, 2, 3, 4; Ch 9, Ex 1, 2, 4
- Jul 19
- Lecture 17 Testing hypotheses
- Ch 9.3 - 9.4
- Jul 20
- Lecture 18 Probability density
- Ch 10.1
- Section 9
- Ch 9, Ex 5, 9, 7, 8, 10; Integration Practice (not in textbook)
Week 6: Densities and Estimation
- Jul 24
- Lecture 19 Expectation and variance revisited
- Ch 10.2
- Jul 25
- Lecture 20 The exponential distribution
- Ch 10.3
- Section 10
- Ch 10, Ex 1, 2, 10, 3, 4
- Jul 26
- Lecture 21 The normal distribution
- Ch 10.4
- Jul 27
- Lecture 22 Estimation: bias and variance
- Ch 11.1 - 11.2
- Section 11
- Ch 10, Ex 7, 8, 5, 9, Ch 11, Ex 1, 2
Week 7: Regression
- Jul 31
- Lecture 23 Correlation and the regression line; the regression effect
- Ch 11.3 - 11.4
- Aug 1
- Lecture 24 Error in regression
- Ch 11.5
- Section 12
- Ch 11, Ex 3, 4, 9, 11, 10, 7
- Aug 2
- Lecture 25 Inference in regression
- Ch 12.1 - 12.3
- Aug 3
- Lecture 26 Conclusion
- Quiz 6
- Ch 10
- Section 13
- Ch 12, Ex 3, 4
Week 8: Review and Final Exam
- Aug 7
- Lecture 27 Buffer/Review
- Aug 8
- Lecture 28 Buffer/Review
- Section 14
- Practice Problems 10, 21, 22, 25, 18, 14, 13
- Aug 9
- Lecture 29 Buffer/Review
- Aug 10
- Final Exam From 10:30 AM - 1:30 PM