Probability Theory I

Randomness is a concept which is used daily for ''unpredictable'' phenomenons. The point of taking this course is to make the student familiar with some of the most used mathematical concepts, models and analytical tools which are used to mathematically describe daily concepts such as 'random', 'insecurity', 'spreading', 'normality' and more. The contents of the course are a necessary basic for studies in statistics and further studies in probability theory. Theoretical evaluations of the lectures are mixed with practical problem solving at exercies and computer laboratories. Contents: Sample space and events. Probability axioms. Conditional probability. Independence. Random variables in one or more dimensions and their distributions. Functions of random variables. Expectd value and variance. The Law of Large Numbers. The Central Limit Theorem.