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Probability and Statistics

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code470-4405/01
Number of ECTS Credits Allocated6 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *Second Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
BRI10prof. Ing. Radim Briš, CSc.
LIT40Ing. Martina Litschmannová, Ph.D.
KRA0220Ing. Jan Kracík, Ph.D.
VRT0020Mgr. Adéla Vrtková
This is an introductory course in statistics. The course will emphasize methods of applied statistics and data analysis. Theoretical considerations will be included to the extent that knowledge of theory is necessary for a sound understanding of methods and contributes to the development of data analysis skills and the ability to interpret results of statistical analysis. The objective of the course is to develop sufficient knowledge of statistical tools and procedures, understanding of the underlying theory on which the procedures are based, and facility in the application of statistical tools to enable the student to incorporate sound statistical methodology into other areas of his or her own work.
Learning Outcomes of the Course Unit
The course is designed for graduates to gain an initial idea of ​​the basic concepts and tasks that fall within the field of probability and statistics and were able to apply their knowledge in practice.
Course Contents
1) Introduction to Probability Theory
2) Discrete random variable
3) Selected distributions of discrete random variables
4) Continuous random variable
5) Selected distributions of continuous random variables
6) Limit Theorems
7) Introduction to statistics, exploratory analysis
8) The survey, random sampling and basic sample characteristics
9) Introduction to estimation theory
10) Introduction to hypothesis testing (principle)
11) Hypotheses testing - mean, probability, variance (one-sample and two-sample tests)
12) Analysis of variance (verification normality, ANOVA and Kruskal-Wallis test)
13) Tests of independence
14) Summary
Recommended or Required Reading
Required Reading:
Briš, R. (2011), Probability and Statistics for Engineers, VŠB-TU Ostrava, WEB:
DUMMER, R.M. (1998), Introduction to Statistical Science, VŠB-TU Ostrava, ISBN 80-7078-497-0
StatSoft, Inc. (2013). Electronic Statistics Textbook. Tulsa, OK: StatSoft. WEB:
HILL, T. & LEWICKI, P. (2007). STATISTICS: Methods and Applications. StatSoft, Tulsa, OK.
LITSCHMANNOVÁ, M. (2011): Vybrané kapitoly z pravděpodobnosti, elektronická skripta, dostupné online z:
LITSCHMANNOVÁ, M. (2011), Úvod do statistiky, elektronická skripta, dostupné online z:
ANDĚL, J. (2011), Základy matematické statistiky. Vyd. 3. Praha: Matfyzpress. ISBN 978-80-7378-162-0.
DUMMER, R.M. (1998), Introduction to Statistical Science, VŠB-TU Ostrava, ISBN 80-7078-497-0
Recommended Reading:
Triola, M. F. (2008). Elementary statistics with multimedia study guide. Boston: Pearson Addison Wesley. ISBN 978-0321460929.
DALGAARD, P. (2008). Introductory statistics with R. 2nd ed. New York, NY: Springer. Statistics and computing. ISBN 978-0-387-79053-4.
Rosling, H., Rosling, O., & Rönnlund, A. R. (2019). Factfulness: ten reasons we’re wrong about the world - and why things are better than you think. Sceptre. ISBN 9781473637474.
Darrell Huff, (1954) How to Lie with Statistics (illust. I. Geis), Norton, New York, ISBN 0-393-31072-8.
ANDĚL, J. (2019), Statistické metody, Páté vydání, Praha: Matfyzpress. ISBN 978-80-7378-381-5.
HENDL, J. (2004), Přehled statistických metod zpracování dat, Praha , Portál. ISBN 80-7178-820-1.
FRIEDRICH, V. (2002), Statistika 1: vysokoškolská učebnice pro distanční studium. Plzeň: Západočeská univerzita. ISBN 80-7082-913-3.
StatSoft, Inc. (2013). Electronic Statistics Textbook. Tulsa, OK: StatSoft. WEB:
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit40 (40)20
                Domácí úkoly / testy z pravděpodobnostiWritten test20 6
                Domácí úkoly / testy ze statistikyOther task type20 10
                Aktivní účastOther task type 
        ExaminationExamination60 30