2033 Syllabus

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Textbooks

• Required book Introduction to Probability, Statistics, and Random Processes (Many materials are available online at no cost here.)

Grading

Your final grade for the course will be based on the following weights:

• 20% Homework
• 20% Quizzes
• 30% Midterm Exam (2 exams), TBD
• 30% Final Exam, TBD

Topics are loosely based on the textbook, with additional materials added.

• Basic concepts in probability (Ch 1)
• Combinatorics: counting methods (Ch 2)
• Discrete random variables (Ch 3)
• Continuous random variables (Ch 4)
• Joint distributions and independence (Ch 5)
• Limit theorems (Ch 7)
• Statistical inference with classical methods (Ch 8)
• Applications in Computer Networking (if time allows)

Schedule

Lecture	Date	Topics	Notes	Readings
Basic concepts in probability (Chapter 1)
1	Tue 08/26	Introduction, Why Probabilities and Statistics [pdf]		1.0-1.1, 1.3.1, 1.3.2
2	Thu 08/28	Sample space and events	Quiz 1 - Submission Link	1.0-1.1, 1.3.1, 1.3.2
3	Tue 09/02	Set theory, Sample space and events revisited [pdf]		1.3.1, 1.3.2, 1.2
4	Thu 09/04	Conditional Probability [pdf]	Quiz 2 - Submission Link	1.4
5	Tue 09/09	Conditional Probability		1.4
6	Thu 09/11	Conditional Probability	Quiz 3 - Submission Link	1.4
Counting (Chapter 2)
7	Tue 09/16	Finding Probabilities Using Counting Methods: Multiplication Principle, Ordered Sampling with/without Replacement [pdf]		2.1.1, 2.1.2, 2.1.3
8	Thu 09/18	More examples, Q & A [pdf]
	Tue 09/23	midterm
Discrete Random Variables (Chapter 3)
9	Thu 09/25	Basic Concepts [pdf]		3.1.1-3.1.3
10	Tue 09/30	Special distributions [pdf]		3.1.5
11	Thu 10/02	More about discrete random variables, Expectation and Variance [pdf]	Quiz 5 - Submission Link	3.2
12	Tue 10/07	More about discrete random variables, Expectation and Variance [pdf]
	Thu 10/09	Class Canceled	Quiz 6 - Submission link
13	Tue 10/14	Poisson distribution [pdf]		3.1.5, 10.1.0, 11.1.1, 11.1.2
Continuous Random Variables (Chapter 4)
14	Thu 10/16	Introduction, the uniform distribution; Expectation & Variance [pdf]		4.0, 4.1, 4.2.1
15	Tue 10/21	Special distributions [pdf]	Quiz 7 - Submission link	4.2
16	Thu 10/23	Special distributions [pdf]		4.2
Joint distributions and independence (Ch 5)
17	Tue 10/28	Joint distributions of discrete and continuous random variables; Independence [pdf]	Quiz 8 - Submission link	5.1.0-5.1.2
18	Thu 10/30	Joint distributions, independence, and covariance; Gamma distribution [pdf]		5.1.3, 5.1.5
	Tue 11/04	midterm (tentative)
Limit theorems (Ch 7)
19	Thu 11/06	TBD
20	Tue 11/11	TBD
Statistical inference with classical methods (Ch 8)
21	Thu 11/13	TBD
22	Tue 11/18	TBD
23	Thu 11/20	TBD
	Tue 11/25	Fall Break
	Thu 11/27	Thanksgiving
24	Tue 12/02	TBD
25	Thu 12/04	TBD
	Thu 12/11	Final Exam	10:30-12:30, (Fall Examination Schedules)