470-8747/01 – Introduction to Probability and Principles of Statistics (UPZS)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantorIng. Martina Litschmannová, Ph.D.Subject version guarantorIng. Martina Litschmannová, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Study languageCzech
Year of introduction2016/2017Year of cancellation2020/2021
Intended for the facultiesUSPIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
LIT40 Ing. Martina Litschmannová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2

Subject aims expressed by acquired skills and competences

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.

Teaching methods



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.

Compulsory literature:

[1] Briš, R. (2011), Probability and Statistics for Engineers, VŠB-TU Ostrava, WEB: http://homel.vsb.cz/~bri10/Teaching/Bris%20Prob%20&%20Stat.pdf [2] Dummer, R.M. (1998), Introduction to Statistical Science, VŠB-TU Ostrava, ISBN 80-7078-497-0

Recommended literature:

[1] StatSoft, Inc. (2013). Electronic Statistics Textbook. Tulsa, OK: StatSoft. WEB: http://www.statsoft.com [2] HILL, T. & LEWICKI, P. (2007). STATISTICS: Methods and Applications. StatSoft, Tulsa, OK.

Way of continuous check of knowledge in the course of semester

Presence form: Discussions: - 10 short tests during the semester per 2 points, 20 points overall (minimum required: 6 points) - 4 homeworks per 5 points, 20 points overall (minimum required: 5 points for each task) - written test (practical part: max. 50 points, required minimum: 25 points, theoretical part: max. 10 points, required minimum: 2 points) For successful completion of the Subject is given credit. Students will receive credit if they meet the required minimum of each of the sub-tasks and compensatory gain at least 51 points.


Other requirements

Presence form: Active participation in at least 80% of discussions.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

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) Random Vector 8) Introduction to statistics, exploratory analysis 9) The survey, random sampling and basic sample characteristics 10) Introduction to estimation theory 11) Introduction to hypothesis testing (principle) 12) Hypotheses testing - mean, probability, variance (one-sample and two-sample tests) 13) Analysis of variance (verification normality, ANOVA and Kruskal-Wallis test)

Conditions for subject completion

Full-time form (validity from: 2016/2017 Winter semester, validity until: 2020/2021 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100 (100) 51
        Průběžné testy Written test 20  10
        Domácí úkoly Other task type 20  10
        Zápočtový test - praktická část Written test 50  25
        Zápočtový test - teoretická část Written test 10  2
Mandatory attendence parzicipation: Participation at all exercises is obligatory, 2 apologies are accepted. Participation at lectures is recommended, knowledge of lecture materials is a prerequisite for participation at the exercises.

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2018/2019 (N3969) Technology of Processes in Energetics (3907T013) Technology of Processes in Energetics P Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (N3969) Technology of Processes in Energetics (3907T013) Technology of Processes in Energetics P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N3969) Technology of Processes in Energetics (3907T013) Technology of Processes in Energetics P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner