Course title, code: Probability and Statistics, GAINBANVALOSTAT1
The course is an introduction to probability and statistics. The topics covered include descriptive statistics, probability and inferential statistics. The aim of the course is to introduce the notions, methods an the necassary theoretical background related to data analysis and probability with applications in engineering.
1. Descriptive statistics: measures of location 2. Descriptive statistics: variability and shape 3. Mathematical model of random experiments, relative frequency, events and probability, Kolmogorov axioms 4. Classical probability model 5. Conditional probability, independence 6. Discrete random variables, expected value and variance 7. Binomial, Hypergeometric and Poisson distribution 8. Continuous random variables, expected value and variance 9. Uniform, Exponential and Normal Distribution, De MoivreLaplace theorem, Central limit theorem 10. Sampling distributions, point and interval estimation 11. Hypothesis testing 12. Analysing bivariate data: Khisquare test for independence 13. Analysing bivariate data: correlation, regression
Course content  seminars:
1. Descriptive statistics: measures of location 2. Descriptive statistics: variability and shape 3. Mathematical model of random experiments, relative frequency, events and probability, Kolmogorov axioms 4. Classical probability model 5. Conditional probability, independence 6. Discrete random variables, expected value and variance 7. Binomial, Hypergeometric and Poisson distribution 8. Continuous random variables, expected value and variance 9. Uniform, Exponential and Normal Distribution, De MoivreLaplace theorem, Central limit theorem 10. Sampling distributions, point and interval estimation 11. Hypothesis testing 12. Analysing bivariate data: Khisquare test for independence 13. Analysing bivariate data: correlation, regression
Knowledge:
 Knowledge of the principles and methods of natural sciences (mathematics, physics, other natural sciences) relevant to the field of IT.
 He/she makes an effort to work efficiently and to high standards.
 Efficient use of digital technology, knowledge of digital solutions to fulfill educational objectives
Midterm study requirements:
Four midterm tests (4*25 points).
Exam requirements:
Materials uploaded to TEAMS.
Authors: Barbara Illowsky, Susan Dean Publisher/website: OpenStax Book title: Introductory Statistics 2e Publication date: Dec 13, 2023 Location: Houston, Texas Book URL: https://openstax.org/books/introductorystatistics2e
