STA 201 – Probability and statistics

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STA 201 – Probability and statistics; Weekly hours: 2+1, ECTS: 5
The aim of the course is to give some basic terms, concepts, and learn how the stochastic methods come about and why they work.  This course will provide students with a good understanding of the theory of probability, both discrete and continuous, including some combinatorial, a variety of useful distributions, expectation and variance, analysis of sample statistics, the law of large numbers, central limit theorem, confidence interval, testing hypotheses, t-test, and comparing two samples. After completing this course, students will be able to: Develop the ability to solve problems using probability; Make connections between probability and other branches of mathematics; Understand the meaning of statistical statements as well as judge the quality of their content. Sets and operations with sets; Sample space and events; Probability function definition; Products of sample spaces; Conditional probability; Multiplication rule; The law of total probability; Bayes’ rule and independence; Discrete and continuous random variables; Expectation and variance; Joint distribution; Covariance and correlation; The law of large numbers; Central limit theorem; Basics of statistical models; Data analysis.