# 639-0405/02 – Theory of Probability (TP)

 Gurantor department Department of Quality Management Credits 7 Subject guarantor prof. RNDr. Josef Tošenovský, CSc. Subject version guarantor prof. RNDr. Josef Tošenovský, CSc. Study level undergraduate or graduate Requirement Compulsory Year 2 Semester winter Study language Czech Year of introduction 2005/2006 Year of cancellation Intended for the faculties FMT Intended for study types Bachelor
Instruction secured by
HAL37 Ing. Mgr. Petra Halfarová, 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+2
Combined Credit and Examination 18+0

### Subject aims expressed by acquired skills and competences

1) Knowledge of elementary terms of the probability theory: random variable, random vector, random variable function 2) Understanding of properties of elementary terms and their relations 3) Creating theoretical foundation for subsequent school subjects

Lectures
Seminars
Tutorials
Project work

### 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 the possibilities of their application.

### Compulsory literature:

1. PARZEN,E.: Modern Probability Theory and Its Applications. NY, J.Wiley, 1960.

### Recommended literature:

1. Montgomery, D. C.: Applied Statistics and Probability for Engineers. NY, Wiley, 2010. ISBN: 978-0-470-50578-6 2. Schwarzlander, H., Probability Concepts and Theory for Engineers. NY, Wiley, 2010. ISBN: 978-0-470-74855-8

Test Essay

www of FMMI

None

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1. Conditional event algebra 2. Probability 3. Discrete and Continuous Random Variables 4. Cumulative Distribution Function 5. Discrete and Continuous Uniform Distribution 6. Binomial Distribution 7. Normal Distribution 8. Multiple Disrete and Continuous Random Variable 9. Bivariate Normal Distribution 10. Functions of Random Variables 11. Mean and Variance of Continuous and Discrete Random Variable

### Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2011/2012 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 40 (40) 0
Written exam Written test 40  0
Examination Examination 60 (60) 0
Written examination Written examination 50  0
Oral Oral examination 10  0
Mandatory attendence parzicipation:

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### Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - FMMI - K - cs 2015/2016 Combined Czech Optional FMT - Faculty of Materials Science and Technology stu. block
Subject block without study plan - FMMI - P - cs 2015/2016 Full-time Czech Optional FMT - Faculty of Materials Science and Technology stu. block