470-4405/01 – Probability and Statistics (PS)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantorIng. Martina Litschmannová, Ph.D.Subject version guarantorIng. Martina Litschmannová, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year1Semestersummer
Study languageCzech
Year of introduction2015/2016Year of cancellation
Intended for the facultiesUSP, HGF, FEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BER0061 Ing. Michal Béreš, Ph.D.
JAH02 RNDr. Pavel Jahoda, Ph.D.
VRT0020 Mgr. Adéla Kondé
KOV74 Mgr. Tereza Kovářová, Ph.D.
KRA0220 Ing. Jan Kracík, Ph.D.
LIT40 Ing. Martina Litschmannová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Part-time Credit and Examination 12+12

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

Lectures
Tutorials

Summary

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:

BERTSEKAS, Dimitri P. a TSISIKLIS, John N. Introduction to probability. Second edition. Nashua, NH: Athena Scientific, [2008]. ISBN 978-1886529236. JAMES, Gareth; WITTEN, Daniela; HASTIE, Trevor a TIBSHIRANI, Robert. An introduction to statistical learning: with applications in R. Second edition. Springer texts in statistics. New York: Springer, [2021]. ISBN 978-1071614174.

Recommended literature:

WHEELAN, Charles. Naked Statistics: Stripping the Dread from the Data. W. W. Norton & Company, 2014. ISBN 978-0393347777.

Way of continuous check of knowledge in the course of semester

Discussion Full-time study: - homeworks/intermediate tests in probability (max. 20 points overall, required minimum: 6 points) - homeworks/intermediate tests in statistics (max. 20 points overall, required minimum: 10 points) Combined study: - 3 homework in probability assignments during the semester with a maximum of 10 points, max. 30 points overall (required minimum: 3 points for each homework assignment) - homework/credit test in statistic with a maximum of 10 points (required minimum: 1 point) Conditions for credit: For successful completion of the Discussions is given credit. Students will receive credit if they meet the required minimum of each of the sub-tasks and compensatory gain at least 20 points. Exam - written exam (max. 60 points, required minimum: 30 points) Conditions for taking the exam: Students will pass the exam if they meet the the required minimum of the exam and compensatory gain (Discussions and Exam) at least 51 points.

E-learning

Other requirements

Presence form: 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.

Prerequisities

Subject has no prerequisities.

Co-requisities

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) Introduction to statistics, exploratory analysis 8) The survey, random sampling and basic sample characteristics 9) Introduction to estimation theory 10) Introduction to hypothesis testing (principle) 11) Hypotheses testing - mean, probability, variance (one-sample and two-sample tests) 12) Analysis of variance (verification normality, ANOVA and Kruskal-Wallis test) 13) Tests of independence 14) Summary

Conditions for subject completion

Part-time form (validity from: 2015/2016 Winter semester, validity until: 2015/2016 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 40 (40) 20
                Domácí úkol 1 Other task type 10  3
                Domácí úkol 2 Other task type 10  3
                Domácí úkol 3 Other task type 10  3
                Zápočtový test Written test 10  1
        Examination Examination 60 (60) 27 3
                Praktická část Written examination 50  25
                Teoretická část Written examination 10  2
Mandatory attendence participation:

Show history

Conditions for subject completion and attendance at the exercises within ISP:

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N0612A140004) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0613A140034) Computer Science INF P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0613A140034) Computer Science INF K Czech Ostrava 1 Compulsory study plan
2024/2025 (N0688A140014) Industry 4.0 AZD P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2024/2025 (N0988A060001) Biomedical Engineering P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0988A060001) Biomedical Engineering K Czech Ostrava 1 Compulsory study plan
2024/2025 (N0532A330039) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2024/2025 (N0532A330039) Geoinformatics P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0533A110006) Applied Physics P Czech Ostrava 2 Compulsory study plan
2024/2025 (N0714A060020) Communication and Information Technology P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0714A060020) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2024/2025 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2024/2025 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0612A140004) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0688A140014) Industry 4.0 AZD P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0613A140034) Computer Science INF K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0613A140034) Computer Science INF P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0533A110006) Applied Physics P Czech Ostrava 2 Compulsory study plan
2023/2024 (N0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0988A060001) Biomedical Engineering P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0988A060001) Biomedical Engineering K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0532A330039) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0532A330039) Geoinformatics P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0714A060020) Communication and Information Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0714A060020) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0613A140034) Computer Science INF K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0613A140034) Computer Science INF P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0714A060020) Communication and Information Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0714A060020) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0688A140014) Industry 4.0 AZD P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0532A330039) Geoinformatics P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0532A330039) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0533A110006) Applied Physics P Czech Ostrava 2 Compulsory study plan
2022/2023 (N0612A140004) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0988A060001) Biomedical Engineering P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0988A060001) Biomedical Engineering K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (N0688A140014) Industry 4.0 AZD P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0612A140004) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0988A060001) Biomedical Engineering P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0988A060001) Biomedical Engineering K Czech Ostrava 1 Compulsory study plan
2021/2022 (N0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2021/2022 (N0533A110006) Applied Physics P Czech Ostrava 2 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (N2649) Electrical Engineering (2612T041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan
2021/2022 (N2649) Electrical Engineering (2612T041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2020/2021 (N0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2020/2021 (N0988A060001) Biomedical Engineering K Czech Ostrava 1 Compulsory study plan
2020/2021 (N0988A060001) Biomedical Engineering P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0533A110006) Applied Physics P Czech Ostrava 2 Compulsory study plan
2020/2021 (N0612A140004) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0688A140014) Industry 4.0 AZD P Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (1801T064) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (N2649) Electrical Engineering (2612T041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (N2649) Electrical Engineering (2612T041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (1801T064) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2649) Electrical Engineering (2612T041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (N2649) Electrical Engineering (2612T041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2019/2020 (N0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0988A060001) Biomedical Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2019/2020 (N0988A060001) Biomedical Engineering K Czech Ostrava 1 Compulsory study plan
2019/2020 (N0533A110006) Applied Physics P Czech Ostrava 2 Compulsory study plan
2019/2020 (N0612A140004) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2019/2020 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0688A140014) Industry 4.0 AZD P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (1801T064) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2649) Electrical Engineering (2612T041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2018/2019 (N2649) Electrical Engineering (2612T041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2018/2019 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (1801T064) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2017/2018 (N2649) Electrical Engineering (2612T041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (N2649) Electrical Engineering (2612T041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (1801T064) Information and Communication Security P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2649) Electrical Engineering (2612T041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N2649) Electrical Engineering (2612T041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2015/2016 (N2649) Electrical Engineering (2601T004) Measurement and Control Engineering P Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N2649) Electrical Engineering (2601T004) Measurement and Control Engineering K Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2015/2016 (N2649) Electrical Engineering (2612T041) Control and Information Systems K Czech Ostrava 1 Choice-compulsory study plan
2015/2016 (N2649) Electrical Engineering (2612T041) Control and Information Systems P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Winter
2022/2023 Summer
2022/2023 Winter
2021/2022 Summer
2021/2022 Winter
2020/2021 Summer
2020/2021 Winter
2019/2020 Summer
2018/2019 Summer
2018/2019 Winter
2017/2018 Summer
2016/2017 Summer
2015/2016 Summer