Data 88S: Probability and Mathematical Statistics for Data Science

UC Berkeley, Spring 2024

Week 6

Feb 19
  • The homework that will cover this week’s material, Homework 6, has been released. It is due Tuesday, February 27, 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 Conditional expectation
Ch 5.5.1, 5.5.2, 5.5.3
Section

Week 7: Expectation by conditioning, Variance, and Tail Bounds

Feb 26
Lecture Expectation by conditioning
Ch 5.6.1 - 5.6.5
Homework Homework 7
Due Mar 4 at 4PM
Feb 28
Lecture Variance, standard deviation
Ch 6.1.1 - 6.1.4, 6.2.1, 6.2.2
Section
Mar 1
Lecture Tail bounds
Ch 6.3, 6.4
Section

Week 8: Additivity and Midterm

Mar 4
Lecture Additivity
Ch 7.1.1 - 7.1.4
Mar 6
Lecture Review (go over practice midterm)
Section
Mar 8
Midterm

Week 9: Law of Large Numbers and Central Limit Theorem

Mar 11
Lecture Sampling without replacement, large samples
Ch 7.1.5 - 7.1.7, 7.2.1 - 7.2.4
Homework Homework 8
Due Mar 18 at 4PM
Mar 13
Lecture Law of large numbers
Ch 7.3.1 - 7.3.6
Section
Mar 15
Lecture Central Limit Theorem
Ch 8.1 - 8.4
Section

Week 10: Confidence intervals, hypothesis testing, and density

Mar 18
Lecture Confidence Intervals
Ch 9.1, 9.2
Homework Homework 9
Due Apr 1 at 4PM
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 exponential and normal distributions

Apr 1
Lecture Expectation and variance revisited
Ch 10.1, 10.2
Homework Homework 10
Due Apr 8 at 4PM
Apr 3
Lecture The exponential distribution
Ch 10.3.1 - 10.3.6
Section
Apr 5
Lecture The normal distribution
Ch 10.3.5, 10.3.6, 10.4.1
Section

Week 13: Bias and variance

Apr 8
Lecture Comparing two samples
Ch 10.4.2 -10.4.5
Homework Homework 11
Due Apr 15 at 4PM
Apr 10
Lecture Estimation: bias and variance
Ch 11.1.1 - 11.1.3
Section
Apr 12
Lecture The normal distribution
Ch 11.1.1 - 11.1.3
Quiz 4

Week 14: Regression

Apr 15
Lecture Correlation and the regression model
Ch 12.1.1, 12.1.2
Homework Homework 12
Due Apr 22 at 4PM
Apr 17
Lecture Regression effect; residuals
Section
Apr 19
Lecture Inference in regression
Ch 11.1.1 - 11.1.3
Section

Week 15: Inference and Conclusion

Apr 22
Lecture Inference in regression
Ch 12.2.1 - 12.2.6
Homework Homework 13
Due Apr 29 at 4PM
Apr 24
Lecture Towards multiple regression/overflow
Ch 12.3
Section
Apr 19
Lecture Conclusion
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