Introduction To Probability
Homework Policy
Homework Policy
Students should submit the homework in PDF format before the due time, to my e-mail: omran(underscore)kouba(at)hiast(d0t)edu(d0t)sy
Students may collaborate on a homework and submit just one document but it should be indicated in the document the percentage of contribution of each of the collaborators.
Each homework paper must have at least 6 completely solved problems from the problem list,
The harder the chosen problems are, the more marks the student gets.
Chapter 1. Events and Probability
Chapter 1. Events and Probability
1-1 Events Algebra
1-1 Events Algebra
1-2 Probability Measure
1-2 Probability Measure
1-3 Conditional Probability
1-3 Conditional Probability
Chapter 2. Random Variables
Chapter 2. Random Variables
2-1 General Definitions
2-1 General Definitions
2-2 Types of Random Variables
2-2 Types of Random Variables
2-3 First Encounter with the Law of Large numbers
2-3 First Encounter with the Law of Large numbers
Chapter 3. Discrete Random Variables
Chapter 3. Discrete Random Variables
3-1 Probability Mass Function
3-1 Probability Mass Function
3-2 Expectation
3-2 Expectation
3-3 Examples of Discrete Random Variables
3-3 Examples of Discrete Random Variables
3-4 Common Probability Mass Function
3-4 Common Probability Mass Function
3-5 Conditional Expectation
3-5 Conditional Expectation
Chapter 4. Continuous Random Variables
Chapter 4. Continuous Random Variables
4-1 Probability Density Function
4-1 Probability Density Function
4-2 Expectation
4-2 Expectation
4-3 Examples of Continuous Random Variables
4-3 Examples of Continuous Random Variables
4-4 Common Probability Density Functions of Random Vectors
4-4 Common Probability Density Functions of Random Vectors
4-5 Conditional Expectation
4-5 Conditional Expectation
4-6 Functions of Random Variables
4-6 Functions of Random Variables
Chapter 5. Generating Functions and Their Applications
Chapter 5. Generating Functions and Their Applications
5-1 Generating Functions (1)
5-1 Generating Functions (1)
5-2 Generating Functions (2)
5-2 Generating Functions (2)
5-3 Characteristic Functions
5-3 Characteristic Functions
5-4 Characteristic Functions of Well-known Random Variables
5-4 Characteristic Functions of Well-known Random Variables
5-5 Weak Law of Large Numbers and the Central Limit Theorem
5-5 Weak Law of Large Numbers and the Central Limit Theorem
Past Exams
Past Exams
2019-2020
2019-2020