639-2001/02 – Probability Theory (TP)
| Gurantor department | Department of Quality Management | Credits | 5 |
| Subject guarantor | Ing. Mgr. Petra Halfarová, Ph.D. | Subject version guarantor | Ing. Mgr. Petra Halfarová, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 2 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FMT | Intended for study types | Bachelor |
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:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Three tests in the course of the semester, where the score is counted towards the cumulative credit points.
One project, where the score is counted towards the cumulative credit points.
The examination is in written form.
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction