639-2001/02 – Probability Theory (TP)

Gurantor departmentDepartment of Quality ManagementCredits5
Subject guarantorprof. RNDr. Josef Tošenovský, CSc.Subject version guarantorprof. RNDr. Josef Tošenovský, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
HAL37 Ing. Mgr. Petra Halfarová, Ph.D.
TOS012 Ing. Filip Tošenovský, Ph.D.
TOS40 prof. RNDr. Josef Tošenovský, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3
Part-time Credit and Examination 18+0

Subject aims expressed by acquired skills and competences

Knowledge of elementary terms of the probability theory: random variable, random vector, random variable function Understanding of properties of elementary terms and their relations Creating theoretical foundation for subsequent school subjects

Teaching methods

Lectures
Tutorials

Summary

The explanation of basic terms and methods needed when analysing experimental data and consequential subjects (mathematical statistics, econometrics, time series, design of experiments) and some other special methods of quality control. The main chapters are: random variable, random vector and function of random variable. The explanation is aimed at the description and qualities of basic terms and possibilities of their application.

Compulsory literature:

DOKUCHAEV, N. Probability Theory. NY: World Scientific Publishing, 2010. ISBN 978-9814678025.

Recommended literature:

MEESTER, R. A Natural Introduction to Probability Theory. Amsterdam: Birkhäuser Actar, 2010. ISBN 376-43-8723-8.

Way of continuous check of knowledge in the course of semester

Written form Tests Project

E-learning

http://www.person.vsb.cz/archivcd/FMMI/PST/Teorie%20pravdepodobnosti.pdf

Other requirements

80% attendance in the seminars, handing in assigned programs.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Algebra of Events. 2. Definitions of Probability. 3. Basic Theorems about Probability. 4. Repeated Independent Experiments. 5. Repeated Dependent Experiments. 6. Random Variable, Distribution Function. 7. Distributions of Discret Random Variables. 8. Distributions of Continuous Random Variables. 9. Law of Large Numbers. 10. Characteristics of Random Variables. 11. Function of Random Variable. 12. Random Vector.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 40  20
        Examination Examination 60  31
Mandatory attendence parzicipation: 50% attendance in lectures

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B0488A270001) Quality Management and Control of Industrial Systems (S02) Quality Management TPS P Czech Ostrava 2 Compulsory study plan
2021/2022 (B0488A270001) Quality Management and Control of Industrial Systems (S02) Quality Management TPS K Czech Ostrava 2 Compulsory study plan
2020/2021 (B0488A270001) Quality Management and Control of Industrial Systems (S02) Quality Management TPS P Czech Ostrava 2 Compulsory study plan
2020/2021 (B0488A270001) Quality Management and Control of Industrial Systems (S02) Quality Management TPS K Czech Ostrava 2 Compulsory study plan
2019/2020 (B0488A270001) Quality Management and Control of Industrial Systems (S02) Quality Management TPS P Czech Ostrava 2 Compulsory study plan
2019/2020 (B0488A270001) Quality Management and Control of Industrial Systems (S02) Quality Management TPS K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner