Data 88S: Probability and Mathematical Statistics for Data Science
UC Berkeley, Spring 2024
Week 9
- The homework that will cover this week’s material, Homework 8, has been released. It is due Tuesday, March 19, at 11:59PM.
Calendar
Week 1: The Fundamentals
- Jan 15
- Martin Luther King Jr. Holiday
- Jan 17
- Lecture Probabilities as Proportions (Blank Slides)
- Syllabus, Ch 1.1.1 - 1.1.5
- Homework Homework 1
- Due Jan 22 at 4PM
- Jan 19
- Section Worksheet
Week 2: Conditioning, Bayes Rule, Independence
- Jan 22
- Lecture The axioms of probability (Blank Slides)
- Ch 1.3
- Homework Homework 2
- Due Jan 29 at 4PM
- Jan 24
- Lecture Conditioning, updating (Blank Slides)
- Ch 2.1 - 2.3
- Section Worksheet
- Jan 26
- Lecture Bayes’ examples, Independence (Blank Slides)
- Ch 2.4, 2.5
- Section Worksheet
Week 3: Random Variables
- Jan 29
- Lecture Examples of symmetry, Bayes’ theorem (Blank Slides)
- Ch 3.1, 3.2
- Homework Homework 3
- Due Feb 5 at 4PM
- Jan 31
- Section Worksheet
- Feb 2
- Lecture Random counts, binomial (Blank Slides)
- Ch 3.3.4 - 3.3.6
- Quiz 1
Week 4: Random Counts
- Feb 5
- Lecture Random counts, continued (Blank Slides)
- Ch 3.4.1 - 3.4.4, 3.5
- Homework Homework 4 (PDF)
- Due Feb 13 at 11:59PM
- Feb 7
- Section Worksheet
- Feb 9
- Lecture Exponential approximations (Blank Slides)
- Ch 4.3.1 - 4.3.4
- Section Worksheet
Week 5: CDF continued
- Feb 12
- Lecture Examples, CDF, Waiting Time (Blank Slides)
- Ch 4.3.4, 4.4
- Homework Homework 5
- Due Feb 20 at 11:59PM
- Feb 14
- Lecture Waiting Times (Blank Slides)
- Ch 5.1, 5.2.1 - 5.2.4
- Section Worksheet
- Feb 16
- Lecture Exponential Approximations (Blank Slides)
- Ch 5.2.5 - 5.3
- Quiz 2
Week 6: The Poisson Distribution
- Feb 19
- President’s Day Holiday
- Feb 21
- Lecture Poisson Distribution (Blank Slides)
- Ch 5.4.1 - 5.4.7
- Section Worksheet
- Homework Homework 6
- Due Feb 27 at 11:59PM
- Feb 23
- Lecture Expectation
- Ch 5.5.1, 5.5.2, 5.5.3
- Section Worksheet
Week 7: Expectation and Variance
- Feb 26
- Lecture Method of indicators, unbiased estimators
- Ch 5.6.1 - 5.6.5
- Homework Homework 7
- Due Mar 6 at 11:59PM
- Feb 28
- Lecture Conditional expectation, expectation by conditioning
- Ch 6.1.1 - 6.1.4, 6.2.1, 6.2.2
- Section Worksheet
- Mar 1
- Lecture Variance, standard deviation
- Ch 6.3, 6.4
- Section Worksheet
Week 8: Additivity and Midterm
- Mar 4
- Lecture Tail Bounds
- Ch 7.1.1 - 7.1.4
- Mar 6
- Lecture Additivity, Review (go over practice midterm)
- Section
- Mar 8
- Midterm
Week 9: Conditional Expectation
- Mar 11
- Lecture Conditional expectation, Expectation by conditioning, Variance (Blank Slides)
- Ch 5.5, 5.6, 6.1, 6.2
- Homework Homework 8
- Due Mar 19 at 11:59PM
- Mar 13
- Lecture Variance + Standard deviation
- Ch 7.3.1 - 7.3.6
- Section Worksheet
- Mar 15
- Lecture Markov’s inequality
- Ch 8.1 - 8.4
- Section Worksheet
Week 10: Confidence intervals, hypothesis testing, and density
- Mar 18
- Lecture Confidence Intervals
- Ch 9.1, 9.2
- Homework
- Mar 20
- Lecture Testing hypotheses
- Ch 9.3, 9.4
- Quiz 3
- Mar 22
- Lecture Probability density
- Ch 10.1.1 - 10.1.6
Week 11: Spring Break
- Mar 25
- Spring Break
- Mar 27
- Spring Break
- Mar 29
- Spring Break
The law of averages, distribution of a sample sum
- Apr 1
- Homework Homework 9
- Due Apr 9 at 11:59PM
- Apr 3
- Section Worksheet
- Apr 5
- Lecture The central limit theorem
- Ch 8.3
- Section Worksheet
Week 13: Confidence Intervals
- Apr 8
- Lecture Confidence Intervals (Blank Slides)
- Ch 9.1-9.2
- Homework Homework 10
- Due Apr 16 at 11:59PM
- Apr 10
- Lecture Confidence Intervals (Blank Slides)
- Ch 9.1-9.2
- Section Worksheet
- Apr 12
- Lecture A/B Testing and Confidence Intervals
- Ch 9.3-9.4
- Quiz 4
Week 14: Density
- Apr 15
- Lecture A/B Testing
- Ch 9.3-9.4
- Homework Homework 11
- Due Apr 23 at 11:59PM
- Apr 17
- Lecture Probability density
- Ch 10.4
- Section Worksheet
- Apr 19
- Lecture Bias and Variance
- Ch 11.1, 11.2
- Section Worksheet
Week 15: Inference and Conclusion
- Apr 22
- Lecture MSE and the regression equation
- Ch 11.3, 11.4, 11.5
- Homework Homework 12
- Due Apr 30 at 11:59PM
- Apr 24
- Lecture Residuals, SLR
- Ch 11.5, 12.1
- Section
- Apr 19
- Lecture Finishing up regression and correlation
- Ch 12.1, 12.2 (12.3 if time)
- Section
Week 16: RRR Week
- Apr 29
- RRR Week
- May 1
- RRR Week
- May 3
- RRR Week
Week 17: Finals Week
- May 10
- Final Exam
- 8-11AM