470-4405/02 – Probability and Statistics (PS)

Gurantor department	Department of Applied Mathematics	Credits	6
Subject guarantor	Ing. Martina Litschmannová, Ph.D.	Subject version guarantor	Ing. Martina Litschmannová, Ph.D.
Study level	undergraduate or graduate
		Study language	English
Year of introduction	2015/2016	Year of cancellation
Intended for the faculties	HGF, FEI, FMT	Intended for study types	Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
BRI10	prof. Ing. Radim Briš, CSc.
VRT0020	Mgr. Adéla Kondé, Ph.D.
LIT40	Ing. Martina Litschmannová, Ph.D.
MAZ0092	Ing. Matěj Mazůrek

Extent of instruction for forms of study
Form of study	Way 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 aims to enable students to acquire knowledge of probability theory and applied statistics and to demonstrate the ability to use this knowledge practically.

Teaching methods

Lectures
Tutorials

Summary

Students will be able to define basic concepts of probability, describe statistical methods, and explain their significance. They will apply statistical techniques and procedures to analyze data and interpret the results. The course will also develop students' skills to analyze and critically evaluate statistical information, as well as to propose appropriate methods for solving practical problems in probability and statistics.

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.

Additional study materials

Study supports in the EduDocs system

Way of continuous check of knowledge in the course of semester

Discussion Full-time study: - homeworks/intermediate tests (max. 40 points overall, required minimum: 20 points) Conditions for credit: For successful completion of the Discussions is given credit. Students will receive credit if they 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

Materials are available at https://lms.vsb.cz/?lang=en to students of the course.

Other requirements

Presence form: Active participation in at least 80% of discussions.

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

Conditions for subject completion

Full-time form (validity from: 2022/2023 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Credit and Examination	Credit and Examination	100 (100)	51
Credit	Credit	40	20
Examination	Examination	60	30	3

Mandatory attendence participation: 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.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Part-time form (validity from: 2022/2023 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Credit and Examination	Credit and Examination	100 (100)	51
Credit	Credit	40	20
Examination	Examination	60	30	3

Mandatory attendence participation: Participation in tutorials is recommended. Knowledge of the material covered is a prerequisite for passing the exam.

Show history

Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

Show history

Occurrence in study plans

Academic year	Programme	Branch/spec.	Zaměření	Form	Study language	Tut. centre	Year	Type of duty
2026/2027	(N0688A270002) Information Technology in Material Science			P	English	Ostrava	1	Choice-compulsory type B	study plan
2026/2027	(N0613A140035) Computer Science		INF	P	English	Ostrava	1	Compulsory	study plan
2025/2026	(N0612A140005) Information and Communication Security			P	English	Ostrava	1	Compulsory	study plan
2025/2026	(N0613A140035) Computer Science		INF	P	English	Ostrava	1	Compulsory	study plan
2025/2026	(N0714A150002) Control and Information Systems			P	English	Ostrava	1	Compulsory	study plan
2025/2026	(N0988A060002) Biomedical Engineering			P	English	Ostrava	1	Compulsory	study plan
2025/2026	(N0714A060021) Communication and Information Technology			P	English	Ostrava	1	Compulsory	study plan
2025/2026	(N0688A270002) Information Technology in Material Science			P	English	Ostrava	1	Choice-compulsory type B	study plan
2024/2025	(N0612A140005) Information and Communication Security			P	English	Ostrava	1	Compulsory	study plan
2024/2025	(N0613A140035) Computer Science		INF	P	English	Ostrava	1	Compulsory	study plan
2024/2025	(N0688A140015) Industry 4.0		AZD	P	English	Ostrava	1	Compulsory	study plan
2024/2025	(N0714A150002) Control and Information Systems			P	English	Ostrava	1	Compulsory	study plan
2024/2025	(N0988A060002) Biomedical Engineering			P	English	Ostrava	1	Compulsory	study plan
2024/2025	(N0714A060021) Communication and Information Technology			P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N0612A140005) Information and Communication Security			P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N0688A140015) Industry 4.0		AZD	P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N0613A140035) Computer Science		INF	P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N0714A150002) Control and Information Systems			P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N0988A060002) Biomedical Engineering			P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2023/2024	(N0714A060021) Communication and Information Technology			P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N0613A140035) Computer Science		INF	P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N0688A140015) Industry 4.0		AZD	P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N0612A140005) Information and Communication Security			P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N0714A150002) Control and Information Systems			P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N0988A060002) Biomedical Engineering			K	English	Ostrava	1	Compulsory	study plan
2022/2023	(N0988A060002) Biomedical Engineering			P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N0714A060021) Communication and Information Technology			P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2022/2023	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N0688A140015) Industry 4.0		AZD	P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N0612A140005) Information and Communication Security			P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N0988A060002) Biomedical Engineering			P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N0988A060002) Biomedical Engineering			K	English	Ostrava	1	Compulsory	study plan
2021/2022	(N0714A150002) Control and Information Systems			P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2021/2022	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		P	English	Ostrava	1	Choice-compulsory	study plan
2020/2021	(N0688A140015) Industry 4.0		AZD	P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N0714A150002) Control and Information Systems			P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N0988A060002) Biomedical Engineering			P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N0988A060002) Biomedical Engineering			K	English	Ostrava	1	Compulsory	study plan
2020/2021	(N0612A140005) Information and Communication Security			P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N2647) Information and Communication Technology	(1801T064) Information and Communication Security		P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2020/2021	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		P	English	Ostrava	1	Choice-compulsory	study plan
2019/2020	(N2647) Information and Communication Technology	(1801T064) Information and Communication Security		P	English	Ostrava	1	Compulsory	study plan
2019/2020	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2019/2020	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2019/2020	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2019/2020	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		P	English	Ostrava	1	Choice-compulsory	study plan
2019/2020	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		K	English	Ostrava	1	Compulsory	study plan
2019/2020	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		K	English	Ostrava	1	Compulsory	study plan
2019/2020	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		K	English	Ostrava	1	Compulsory	study plan
2019/2020	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		K	English	Ostrava	1	Choice-compulsory	study plan
2019/2020	(N0714A150002) Control and Information Systems			P	English	Ostrava	1	Compulsory	study plan
2019/2020	(N0988A060002) Biomedical Engineering			P	English	Ostrava	1	Compulsory	study plan
2019/2020	(N0988A060002) Biomedical Engineering			K	English	Ostrava	1	Compulsory	study plan
2019/2020	(N0612A140005) Information and Communication Security			P	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2647) Information and Communication Technology	(1801T064) Information and Communication Security		P	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		P	English	Ostrava	1	Choice-compulsory	study plan
2018/2019	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		K	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		K	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		K	English	Ostrava	1	Compulsory	study plan
2018/2019	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		K	English	Ostrava	1	Choice-compulsory	study plan
2017/2018	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2017/2018	(N2647) Information and Communication Technology	(1801T064) Information and Communication Security		P	English	Ostrava	1	Compulsory	study plan
2017/2018	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2017/2018	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		K	English	Ostrava	1	Compulsory	study plan
2017/2018	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		K	English	Ostrava	1	Compulsory	study plan
2017/2018	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2017/2018	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		K	English	Ostrava	1	Compulsory	study plan
2017/2018	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		P	English	Ostrava	1	Choice-compulsory	study plan
2017/2018	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		K	English	Ostrava	1	Choice-compulsory	study plan
2016/2017	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2016/2017	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		K	English	Ostrava	1	Compulsory	study plan
2016/2017	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2016/2017	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		K	English	Ostrava	1	Compulsory	study plan
2016/2017	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2016/2017	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		K	English	Ostrava	1	Compulsory	study plan
2016/2017	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		P	English	Ostrava	1	Choice-compulsory	study plan
2016/2017	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		K	English	Ostrava	1	Choice-compulsory	study plan
2016/2017	(N2647) Information and Communication Technology	(1801T064) Information and Communication Security		P	English	Ostrava	1	Compulsory	study plan
2015/2016	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		P	English	Ostrava	1	Compulsory	study plan
2015/2016	(N2647) Information and Communication Technology	(2601T013) Telecommunication Technology		K	English	Ostrava	1	Compulsory	study plan
2015/2016	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		P	English	Ostrava	1	Compulsory	study plan
2015/2016	(N2647) Information and Communication Technology	(2612T025) Computer Science and Technology		K	English	Ostrava	1	Compulsory	study plan
2015/2016	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		P	English	Ostrava	1	Compulsory	study plan
2015/2016	(N2647) Information and Communication Technology	(2612T059) Mobile Technology		K	English	Ostrava	1	Compulsory	study plan
2015/2016	(N2649) Electrical Engineering	(2601T004) Measurement and Control Engineering		P	English	Ostrava	1	Choice-compulsory	study plan
2015/2016	(N2649) Electrical Engineering	(2601T004) Measurement and Control Engineering		K	English	Ostrava	1	Choice-compulsory	study plan
2015/2016	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		P	English	Ostrava	1	Choice-compulsory	study plan
2015/2016	(N2649) Electrical Engineering	(2612T041) Control and Information Systems		K	English	Ostrava	1	Choice-compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Type of block	Block owner
ECTS - mgr.	2025/2026	Full-time	English	Optional	401 - Study Office	stu. block
ECTS - mgr.	2024/2025	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2023/2024	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2022/2023	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2021/2022	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2020/2021	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2019/2020	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2018/2019	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2017/2018	Full-time	English	Optional	401 - Study Office	stu. block
V - ECTS - mgr.	2016/2017	Full-time	English	Optional	401 - Study Office	stu. block

Assessment of instruction