**Staff:**

Lecturer: Dr. Yossi Keshet

Teaching Assistant: Michael Isjaki

**Course books:**

Sheldon Ross, **A First Course in Probability**, 8th ed., 2010 (there exists a Hebrew version)

Athanasios Papoulis, **Probability, Random Variables and Stochastic Processes**, 4th ed., 2002

**Topics:**

(The numbers in parenthesis indicate the number of classes per topic)

**Combinatorial Analysis** (1)

**Axioms of Probability** (1)

**Conditional Probability and Independence** (2)

**Random Variables** (2)

**Continuous Random Variables** (2)

**Jointly Distributed Random Variables** (2)

**Properties of Expectation** (2)

**Limit Theorems** (2)

**Markov Chains** (1)

**Class notes:**

Lecture 1 - Axioms of probability

Lecture 2 - Conditional probability

Lecture 3 - Conditional probability, independance and random variables

Lecture 4 - Random variables

Lecture 5 - Families of discrete variables

Lecture 6 - Continuous random variables

Lecture 7 - Normal distribution, disribution of two random variables

Lecture 8 - Disribution of two random variables

Lecture 9 - Convolusion

Lecture 10 - Properties of expectatiom, covariave and correlation

Lecture 11 - Markov, Chebyshev and Central Limit Theorem

Lecture 12 - Preparating for the exame - Last year extra class

**Tirgul:**

Tirgul notes and Assignments can be found on Piazza resources.

A discussion group for this course is available on Piazza Q&A.

Before the first use, you need to register using this link with the code "89262".

The assignment should be submited to Michael Isjaki's box number 12 in Bldg 216.

**Resources:**

Combinatorics formulas

Probbility formulas for the exam

**Exams:**

Exam 2014 a

Exam 2014 a - solution

Exam 2014 b

Exam 2014 b - solution

Exam 2015 a

Exam 2015 a - solution

Exam 2015 b

Exam 2015 b - solution

Exam 2016 a

Exam 2016 b

Exam 2016 b - solution

See also link1 and link2.