639-0405/01 – Theory of Probability (TP)
| Gurantor department | Department of Quality Management | Credits | 6 |
| 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 | 1999/2000 | Year of cancellation | 2010/2011 |
| Intended for the faculties | FMT | Intended for study types | Bachelor |
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
Teaching methods
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
Way of continuous check of knowledge in the course of semester
Test
Essay
E-learning
www of FMMI
Other requirements
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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