Course: Introduction to Probability

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Course title Introduction to Probability
Course code KMA/UDP
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Pavlů Ivana, Mgr. Ph.D.
  • Tomeček Jan, doc. RNDr. Ph.D.
  • Fačevicová Kamila, Mgr. Ph.D.
  • Fišerová Eva, doc. RNDr. Ph.D.
  • Vencálek Ondřej, doc. Mgr. Ph.D.
  • Andrášiková Aneta
Course content
1. History of probability. 2. Combinatorics. 3. Different models of a random experiment. 4. Definition of probability. Classical probability. 5. Geometric probability. 6. Axiomatic probability. 7. Independence. 8. Conditional probability. 9. Discrete and continuous random variable. 10. Probability distributions of a random variable. 11. Characteristics of location, scale and association. 12. Alternative, Binomial and Normal distributions.

Learning activities and teaching methods
Lecture, Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 52 hours per semester
  • Preparation for the Exam - 70 hours per semester
  • Homework for Teaching - 30 hours per semester
  • Preparation for the Course Credit - 30 hours per semester
Learning outcomes
Mastering the principles of the probability theory.
Comprehension Mastering the principles of the probability theory.
Prerequisites
Knowledge of high school mathematics.

Assessment methods and criteria
Oral exam, Written exam

Credit: active participation in seminars, written test. Exam: the student has to present knowledge and understanding during the written and oral exam.
Recommended literature
  • J. L. Snell, C. M. Grinstead. (1997). Introduction to probability. Providence, RI: American Mathematical Society (AMS).
  • K. Zvára, J. Štepán. (2006). Pravdepodobnost a matematická statistika. Matfyzpress, UK Praha.
  • T. H. Wonnacot, R. J. Wonnacot. (1992). Statistika. Victoria Publishing, Praha.
  • V. Dupač. (1984). Teorie pravděpodobnosti a matematická statistika. SPN, Praha.
  • W. Chase, F. Bown. (1999). General statistics. John Wiley $ Sons.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester