Stat 88 · Probability and Mathematical Statistics for Data Science

Week 1

Getting Started

1/17-1/21

Week 2

Conditioning

1/24-1/28

Week 3

Random Variables

1/31-2/4

Week 4

More About Random Variables

2/7-2/11

Week 5

Expectation & the Power of Additivity

2/14-2/18

Week 6

Variability

2/21-2/25

Week 7

A Path to Prediction

2/28-3/4

Week 8

Midterm Week

3/7-3/11

Week 9

Central Limit Theorem

3/14-3/18

Week 10

Spring Break

3/21-3/25

Week 11

Inference

3/28-4/1

Week 12

Continous Random Variables

4/4-4/8

Week 13

Bias, Variance, and Least Squares

4/11-4/15

Week 14

Inference in Regression

4/18-4/22

Week 15

Overflow and Review

4/25-4/29

Week	Date	Content	Notes & Assignments
1	1/17	No School
	1/18	1.1: Intro, Basics	Pre-Lecture Slides Annotated Slides Gradescope How-To
	1/19	Discussion	HW 1 (Due 1/26)
	1/20	1.2, 1.3, 2.1: Axioms, Intersections	Pre-Lecture Slides Annotated Slides
	1/21		Exam Prep 01 Solutions
2	1/24	Disucussion	Worksheet
	1/25	2.1, 2.2, 2.3, 2.5: Bounds, Axioms, Independence	Pre-Lecture Slides Annotated Slides
	1/26	Discussion	Worksheet HW 2 (Due 2/2) HW 1 Solutions
	1/27	2.2, 2.3, 2.4, 2.5: Multiplication Rule, Symmetries in Sampling, Bayes' Rule	Pre-Lecture Slides Annotated Slides
	1/28	Weekly Quiz 1 (1, 2.1)	Exam Prep 02 Solutions
3	1/31	Discussion
	2/1	2.3, 2.4, 3.1, 3.2: Symmetries in Sampling, Bayes' Rule, Intro to RV	Pre-Lecture Slides Annotated Slides
	2/2	Discussion	Worksheet HW 3 (Due 2/9) HW 2 Solutions
	2/3	3.2, 3.3: Random Variables and Their Distributions	Pre-Lecture Slides Annotated Slides
	2/4	Weekly Quiz 2 (2.2-2.4)	Exam Prep 03 Solutions
4	2/7	Discussion	Worksheet
	2/8	3.3, 3.4: Special Distributions (Binomial, Hypergeom)	Pre-Lecture Slides Annotated Slides
	2/9	Discussion	Worksheet HW 4 (Due 2/16) HW 3 Solutions
	2/10	3.5, 4.1, 4.2: CDFs, Waiting times, RVs w/ Infinitely Many Values	Pre-Lecture Slides Annotated Slides
	2/11	Weekly Quiz 3 (2.4, 3.1-3.5)	Exam Prep 04 Solutions
5	2/14	Discussion	Worksheet
	2/15	4.1, 4.2: CDFs, Waiting Times	Pre-Lecture Slides Annotated Slides
	2/16	Discussion	Worksheet HW 5 (Due 2/23) HW 4 Solutions
	2/17	4.2, 4.3, 4.4: Exponential Approximations, Poisson RVs	Pre-Lecture Notes Annotated Slides
	2/18	Weekly Quiz 4	Exam Prep 05 Solutions
6	2/21	Holiday
	2/22	4.4, 5.1, 5.2, 5.3: Sums of Poisson, Expectation, Functions of RVS, Indicators, Unbiased Estimators.	Pre-Lecture Slides Annotated Slides
	2/23	Discussion	Worksheet HW 6 (Due 3/2) HW 5 Solutions
	2/24	5.2, 5.3: finished up joint distributions, indicators	Pre-Lecture Slides Annotated Slides
	2/25	Weekly Quiz 5	Exam Prep 06 Solutions
7	2/28	Discussion	Worksheet
	3/1	5.3, 5.4: Finished up indicators, with problems, unbiased estimators, German tank problem	Pre-Lecture Slides Annotated Slides
	3/2	Discussion	Worksheet HW 7 (Due 3/18) HW 6 Solutions
	3/3	5.5, 5.6: conditional expectation, computing expectation using conditioning	Pre-Lecture Slides Annotated Lecture Slides
	3/4	Weekly Quiz 6	Exam Prep 07 Solutions
8	3/7	Discussion	Worksheet
	3/8	Finishing Up, Midterm Review	Pre-Lecture Slides Annotated Lecture Slides
	3/9	Discussion
	3/10	Midterm (1.1-5.6)
	3/11
9	3/14	No Discussion
	3/15	6.1, 6.2: definition of variance, Measuring variability, Markov's and Chebyshev's inequalities	Pre-Lecture Slides (6.1-6.2) Pre-Lecture Slides (6.3-6.4) Annotated Slides
	3/16	Discussion	Worksheet
	3/17	6.3, 6.4, 7.1: sums of independent RVs	Pre-Lecture Slides Annotated Slides
	3/18		Exam Prep 08 Solutions
10	3/21	Spring Break
	3/22	Spring Break
	3/23	Spring Break
	3/24	Spring Break
	3/25	Spring Break
11	3/28	Discussion	Worksheet
	3/29	7.2, 7.3, 8.1: Reviewed inequalities, sampling w/o replacement, the law of averages	Pre-Lecture Slides Annotated Slides
	3/30	Discussion	Worksheet HW 8 (Due 4/06) HW 7 Solutions
	3/31	7.3,8.1, 8.2, 8.3, 8.4: finish up the law of averages, Dsn of a sample sum, the normal distribution, and sample sums, the Central Limit Theorem	Pre-Lecture Slides Annotated Slides
	4/1		Exam Prep 09 Solutions
12	4/4	Discussion	Worksheet
	4/5	8.4, 9.1: finish CLT & intro to hypothesis tests	Pre-Lecture Slides Annotated Slides
	4/6	Discussion	Worksheet HW 9 (Due 4/13) HW 8 Solutions
	4/7	9.2, 9.3, 9.4: p-values discussion, A/B testing	Pre-Lecture Slides Annotated Slides
	4/8	Weekly Quiz 7 (Chapters 6,7)
13	4/11	Discussion	Worksheet
	4/12	9.3: Confidence intervals	Pre-Lecture Slides Annotated Slides
	4/13	Discussion	Worksheet HW 10 (Due 4/20) HW 9 Solutions
	4/14	9.4: Further discussion of confidence intervals	Annotated Slides
	4/15	Weekly Quiz 8 (Chapters 8,9)	Exam Prep 10 Solutions
14	4/18	Discussion	Worksheet
	4/19	10.1, 10.2, 10.3: Continuous rvs, pdf, cdf, expected value and variance, special distributions	Annotated Slides
	4/20	Discussion	Worksheet Homework 11 (Due 4/27) HW 10 Solutions
	4/21	10.4, 11.1, 11.2: finish chapter 10, introduce bias-variance and revisit the German Tank problem	Annotated Slides
	4/22	Weekly Quiz 9 (9.3, 9.4)	Exam Prep 11 Solutions
15	4/25	Discussion	Worksheet
	4/26	11.3, 11.4, 11.5: Least squares regression, correlation, regression errors	Pre-Lecture Slides Annotated Slides
	4/27	Discussion	Worksheet HW 12 (Due 5/04) HW 11 Solutions
	4/28	12.1, 12.2: simple linear regression model, inference on the slope estimate.	Pre-Lecture Slides Annotated Slides
	4/29	Weekly Quiz 10 (Chapter 11)
	5/04		RRR Week Review Exam Prep 12 Solutions HW 12 Solutions