Name  Office Hours 

Prof. Alina Ene  Google Calendar 
Prof. Tiago Januario  
Teaching Fellows: ChengHao Fu, Spyros Dragazis  
Teaching Assistants: Eric Wang, Noah Barnes  
Course Assistants: Annie Huang, Can Wang, Isaac Hu, Jessica Nguyen, Michael Krah, Munir Siddiqui, Oscar Mo, Quang Nguyen, Ruichen Liu, Sean Lin, Steve Choi 
Lec.  Date  (Tentative) Topics  Reading  Handouts/Homework  Instructor 

1  Thu, Jan 18 
Course information, Tips to succeed Random experiments 
P 1.1 P 1.2 OB 1B 
hw01 out Google Colab Collaboration & Honesty Policy 
TJ 
2  Tue, Jan 23 
Sample spaces, events Probability function 
LLM 17.1 P 1.3.11.3.3 
AE  
3  Thu, Jan 25 
Probability axioms and rules Computing probabilities 
LLM 17.3 LLM 17.5 P 2 
hw02 out Nontransitive Dice Video 
AE 
4  Tue, Jan 30 
Tree diagrams The Monty Hall problem 
LLM 17.2 LLM 18.1.2 
AE  
5  Thu, Feb 01 
Continuous Probability Spaces Anomalies with Continuous Probability 
P 1.3.5 
hw03 out Video 
AE 
6  Tue, Feb 06 
Random variables Definition and examples Distribution Functions

LLM 19.1 P 3.1.1 P 4.1.0 P 3.1.2 P 3.1.3 P 3.2.1 P 4.1.0 P 4.1.1 
AE  
7  Thu, Feb 08 
Properties of PDFs and CDFs Examples and applications. 
P 3.1.6 P 4.1.4 
hw04 out Video 
AE 
8  Tue, Feb 13 
Snow emergency
Stay warm! 
AE  
9  Thu, Feb 15 
Conditional probability Product rule 
LLM
18 P 1.4.0 
hw05 out Game: higher or lower? 
AE 
10  Tue, Feb 20 
Law of total probability Bayes' Rule 
P 1.4.2 P 1.4.3 3Blue1Brown Veritasium 
AE  
11  Thu, Feb 22 
Independent events Pairwise Independence Mutual independence 
LLM 18.7 LLM 18.8 
hw6 out Last Day to Drop Standard Courses (without a “W” grade) 
TJ 
12  Tue, Feb 27 
People versus Collins Independence of random variables 
LLM 18.9 P 1.4.1 
Video 
TJ 
13  Thu, Feb 29 
Expected value of a random variable Infinite sums 
LLM 19.4 P 3.2.2 
hw07 out  TJ 
14  Tue, Mar 05 
Expectation of continuous random variables Linearity of Expectation 
LLM 19.5 P 6.1.2 
TJ  
15  Thu, Mar 07 
Law of the unconscious statistician Conditional expectation Law of total expectation Linearity of conditional expectation 
LLM 19.4.1 P 3.2.3 LLM 19.4.6 
No homework this week Midterm practice Problems out 
TJ 
Tue, Mar 12  Spring Recess  
Thu, Mar 14  
16  Tue, Mar 19  Midterm review  Midterm Practice Problems Solution out  TJ  
Thu, Mar 21  Midterm, in class, during lecture time  Covers all topics up to Lecture 13  
17  Tue, Mar 26 
Variance Standard deviation Variance properties 
LLM 20.3 P 3.2.4 
Video  TJ 
18  Thu, Mar 28 
Discrete distributions:  Bernoulli,  Uniform,  Binomial 
LLM 19.3.1 LLM 19.3.2 P 3.1.5 
hw08 out  TJ 
Fri, Mar 29 
"Last Day to Drop Standard Courses (with a “W” grade) Last Day for Undergraduate Students to Designate a Course as Pass/Fail" 

19  Tue, Apr 02 
Discrete distributions:  Geometric and its properties  Coupon Collector Part I 
LLM 19.5.4 
TJ  
20  Thu, Apr 04 
Discrete distributions:  Negative Binomial  Coupon Collector Part II 
Wikipedia
Standup Maths 
hw09 out  TJ 
21  Tue, Apr 09 
Markov inequality Chebyshev inequality 
LLM 20.1
LLM 20.2 P 6.2.2 
TJ  
22  Thu, Apr 11 
Applications of Markov and Chebyshev's inequalities Continuous Uniform Distribution 
LLM 20.1.1
LLM 20.2.1  hw10 out  TJ 
23  Tue, Apr 16 
Normal Distribution 
LLM 20.2.2
P 4.2.3 
AE  
24  Thu, Apr 18  Exponential Distribution 
P 4.2.2
P 11.1.2 
HW 11 out  AE 
25  Tue, Apr 23 
Poisson Process Poisson Distribution 
P 11.1.2  AE  
26  Thu, Apr 25 
Probability in Algorithms:  Bucket Sort  Reservoir Sampling 
CLRS 8.4 
Final Practice Problems out  TJ 
27  Tue, Apr 30  Final exam review  Final Practice Solutions out  TJ  
Thu, May 02  Study period begins  
TBA 
Final Exam Any day from May 6 to May 10 
Cumulative and covers all topics 
You can access both books for free or support the authors by purchasing the books.
Sample nameplate
Change the name to yours in this PPTX file, print
it,
and bring it to the labs.
LaTeX resources
TexShop is a latex editor for the Mac
platform;
TexNiCenter is a text editor for Windows;
Overleaf is a webbased latex system (that allows
you to
avoid latex installation on your machine).
Not so short intro to latex;
a latex
tutorial.
Homework template files:
tex,
pdf,
jpg.
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