# 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

## 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 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

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 Bias and Variance
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 Worksheet
Apr 19
Lecture Finishing up regression and correlation
Ch 12.1, 12.2 (12.3 if time)
Section

Apr 29
RRR Week
May 1
RRR Week
May 3
RRR Week

May 10
Final Exam
8-11AM