** Instructor: ** Andrey Sarantsev

** Office: ** Padelford (PDL) C552

** E-mail: ** ansa1989 [_a_t] math.washington.edu

** Math 394B: ** MWF 10:50-11:50am EEB 003

** Math 394C: ** MWF 9:40-10:40am EEB 045

** Office Hours: ** Tue 12-2pm, Wed 1-5pm in my office, or by appointment

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Janko Gravner's Probability Lecture Notes

Lecture 1. Permutations and Combinations. June 23

Lecture 2. Properties of Combinations. June 25

Lecture 3. Combinatorial Story Problems. June 27

Lecture 4. Multinomial Coefficients. June 30

Lecture 5. Axioms of Probability. July 2

Lecture 6. Inclusion-Exclusion Principle. July 7

Lecture 7. Conditional Probability. July 9

Lecture 8. Second Bayes' Formula. July 11

Lecture 9. Independent Events. July 14

Lecture 10. Random Variables. July 16

Lecture 11. Independent Random Variables. July 18

Lecture 12. Variance and Covariance. July 21

Lecture 13. Binomial Distribution. July 23

Lecture 14. Poisson Distribution. July 25

Lecture 15. Binomial and Poisson Distributions. July 27

Lecture 16. Geometric and Neg. Bin. Distributions. August 1

Lecture 17. Central Limit Theorem I. August 4

Lecture 18. Central Limit Theorem II. August 6

Lecture 19. Continuous Distributions I. August 8

Lecture 20. Continuous Distributions II. August 11

Lecture 21. Law of Large Numbers. August 13

Lecture 22. Statistics. August 15 and 18

Lecture 23. Central Limit Theorem III. August 20

Homework 2, due July 10

Homework 3, due July 16

Homework 4, due July 23

Homework 5, due July 30

Homework 6, due August 6

Homework 7, due August 13

Homework 8, due August 20

Quiz 2, July 18 Solution

Quiz 3, July 25 Solution

Quiz 4, August 1 Solution

Quiz 5, August 8 Solution

Quiz 6, August 15 Solution

Final Exam, August 22 Solution