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Probabilistic and statistical problems - NMSA170

Title:	Pravděpodobnostní a statistické problémy
Guaranteed by:	Department of Probability and Mathematical Statistics (32-KPMS)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2024
Semester:	summer
E-Credits:	2
Hours per week, examination:	summer s.:0/2, C [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time

Guarantor:	doc. RNDr. Zbyněk Pawlas, Ph.D.
Teacher(s):	doc. RNDr. Jiří Dvořák, Ph.D. doc. RNDr. Zbyněk Pawlas, Ph.D. Ing. Vít Procházka, Ph.D.
Class:	M Bc. FM M Bc. FM > Doporučené volitelné M Bc. FM > 1. ročník M Bc. MMIT M Bc. MMIT > Doporučené volitelné M Bc. MMIT > 1. ročník M Bc. OM M Bc. OM > Doporučené volitelné M Bc. OM > 1. ročník
Classification:	Mathematics > Probability and Statistics

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Annotation -

Introduction to discrete probability and solutions of interesting problems by simple probabilistic and statistical methods. An elective course for 1st year students of General and Financial Mathematics.

Last update: Zichová Jitka, RNDr., Dr. (24.04.2019)

Aim of the course -

To acquaint students with the basic methods that are used to describe and study processes influenced by chance.

Last update: Zichová Jitka, RNDr., Dr. (24.04.2019)

Course completion requirements -

The course is finalized by receiving a credit.

Requirements for receiving the credit: active participation, max. 3 absences.

Attempt to receive the credit cannot be repeated.

Last update: Pawlas Zbyněk, doc. RNDr., Ph.D. (14.02.2022)

Literature -

J. Anděl (2007): Matematika náhody (in Czech), 3rd edition, Matfyzpress, Praha.

J. Bewersdorff (2005): Luck, Logic, and White Lies: The Mathematics of Games, A K Peters, Wellesley.

H. Tijms (2004): Understanding Probability: Chance Rules in Everyday Life, Cambridge University Press, Cambridge.

K. Zvára, J. Štěpán (2006): Pravděpodobnost a matematická statistika (in Czech), 4th edition, Matfyzpress, Praha.

Last update: Pawlas Zbyněk, doc. RNDr., Ph.D. (28.10.2019)

Teaching methods -

Seminar.

Last update: Pawlas Zbyněk, doc. RNDr., Ph.D. (14.02.2022)

Syllabus -

1. Random event with finitely many outcomes, classical probability and axiomatic definition.

2. Geometric probability.

3. Independence of random events, conditional probability, Bayes' theorem.

4. Discrete random variable, its distribution, expectation, variance.

5. Correlation, causality.

6. Hypotheses testing.

Last update: Zichová Jitka, RNDr., Dr. (24.04.2019)