DAMSL-092 Probability Theory

Syllabus

• Introduction to probability: Random experiments, probability axioms, conditional probability, law of total probability, Bayes’ rule, and counting methods.
• Random variables and their distributions: Single and multiple random variables, expectation, variance, moment generating factors, inequalities.
• Limit theorems: Convergence of random variables, weak law of large numbers, central limit theorem.

Learning Outcomes

Upon completion of the course the students will have:

• Good knowledge of the basic concepts in probabilities: random experiments and axioms, conditional probability, Bayes law. 
• Good knowledge of random variables and their distributions, expectation, and variance. Law of large numbers.