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Probability-And-Statistics course at University of Tehran - Instructor: Dr.Behnam Bahrak - Fall2025

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ProbStats-ECE-UniversityOfTehran/Probability-And-Statistic-Fall2025

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Course Material

Course Schedule

Week Lectures Videos/Additional Resources Assignments Assignments Related Resources Quizes & Exams
1 Course Intro
2 Lecture 1 - Set Theory and Probability Definition
Lecture 2 - Combinatorics
Lecture 1: Video 1 - Video 2 - Video 3 - Video 4
Lecture 2: Video 1 - Video 2
3 Lecture 3 - Conditional Probability
Lecture 4 - Independence
Lecture 3: Video 1 - Video 2 - Video 3
Lecture 4: Video 1 - Video 2 - Video 3 - Video 4
TA Session: Video 1
HW1: Lectures 1, 2 R guide, R-Plotting, Introduction_to_R
R intro videos from previous years: Part 1 - Part 2 - Part 3 - Part 4
4 Lecture 5 - Random Variable and Expectation
Lecture 6 - Variance
Lecture 5: Video 1 - Video 2 - Video 3 - Video 4
Lecture 6: Video 1 - Video 2 - Video 3
5 Lecture 7 - Discrete Distributions
Lecture 8 - Continuous Distributions
Lecture 7: Video 1 - Video 2 - Video 3
Lecture 8: Video 1 - Video 2 - Video 3
HW2: Lectures 3, 4 Quiz 1: Lectures 1, 2
6 Lecture 9 - Normal and Exponential Distributions
Lecture 10 - Functions of RVs
Lecture 9: Video 1 - Video 2 - Video 3
Lecture 10: Video 1 - Video 2
7 Lecture 11 - Joint Distribution
Lecture 12 - Independence of RVs
Lecture 11: Video 1 - Video 2
Lecture 12: Video 1 - Video 2 - Video 3
HW3: Lectures 3, 4, 5, 6 Quiz 2: Lectures 3, 4, 5, 6
8 Lecture 13 - Sum of Independent RVs
Lecture 14 - Conditional Distributions
Lecture 13: Video 1 - Video 2
Lecture 14: Video 1 - Video 2 - Video 3
9 Lecture 15 - Beta Distributions
Lecture 16 - Covariance
Lecture 15: Video 1 - Video 2
Lecture 16: Video 1 - Video 2 - Video 3
HW4: Lectures 8, 9, 10, 11 Quiz 3: Lectures 7, 8, 9, 10
10 Lecture 17 - functions of two random variables
Lecture 18 - Conditional Expectation
Lecture 17: Video 1 - Video 2 - Video 3
Lecture 18: Video 1 - Video 2
11 Lecture 19 - Sampling
Lecture 20 - CLT
Lecture 19: Video 1 - Video 2 - Video 3 - Video 4
Lecture 20: Video 1 - Video 2 - Video 3
HW5: Lectures 13, 14, 15, 16, 17 Midterm: Lectures 1 to 14
12 Lecture 21 - Estimation
Lecture 22 - Confidence Interval
Lecture 21: Video 1 - Video 2 - Video 3
Lecture 22: Video 1 - Video 2 - Video 3
13 Lecture 23 - Hypothesis Testing Lecture 23: Video 1 - Video 2 - Video 3 HW6: Lectures 18, 19, 20, 21 Quiz 4: Lectures 15, 16, 17, 18
14 Review Session
15 Final Exam Period HW7: Lectures 22, 23, 24 Quiz 5: Lectures 19, 20, 21, 22
16
17 Final Exam: Lectures 15 to 23

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Probability-And-Statistics course at University of Tehran - Instructor: Dr.Behnam Bahrak - Fall2025

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