Data 88S: Probability and Mathematical Statistics for Data Science

UC Berkeley, Spring 2024

Week 9

Mar 11
  • The homework that will cover this week’s material, Homework 8, has been released. It is due Tuesday, March 19, at 11:59PM.

Calendar

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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
Lecture Complements, conditioning, bounds, exact calculations (Blank Slides)
Ch 1.1.6, 1.1.7, 1.2
Section Worksheet

Week 2: Conditioning, Bayes Rule, Independence

Week 3: Random Variables

Week 4: Random Counts

Week 5: CDF continued

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
Lecture The law of averages, distribution of a sample sum
Ch 7.3-8.2
Homework Homework 9
Due Apr 9 at 11:59PM
Apr 3
Lecture The law of averages, distribution of a sample sum
Ch 7.3-8.2
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 Probability density
Ch 10.4
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