Course: Theory of Probability and Statistics 1

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Course title Theory of Probability and Statistics 1
Course code KMI/TPS1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Fiala Jan, RNDr. et PhDr. Ph.D.
  • Mrkvička Tomáš, prof. RNDr. Ph.D.
  • Rost Michael, doc. Ing. Ph.D.
  • Houda Michal, Mgr. Ph.D.
  • Berková Ilona, Ing. Ph.D.
Course content
A basic introductory course devoted to basics of theory of probability. Contents of lectures: 1. Random events, combinatorics. 2. Classical definition and geometrical definition of probability. Examples. 3. Definition of probability, probability of intersection, union. 4. Dependent and independent random events. 5. Conditional probability. 6. Discrete random variables. Distribution function. 7. Alternative, binomial, Poisson, geometrical distributions. 8. Continuous random variables. 9. Uniform, exponential normal distributions. 10. Descriptive statistics. 11. Student, Chi2, F - distribution. Quantiles. 12. Hypothesis testing. One sample t-test. 13. T-tests, paired and two-sample.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Work with multi-media resources (texts, internet, IT technologies), Blended learning
  • Class attendance - 31.5 hours per semester
  • Preparation for classes - 30.5 hours per semester
  • Preparation for credit - 22 hours per semester
Learning outcomes
Students are introduced to basic probability theory. The basic statistical reasoning is introduced too.
Students understand basic principals of probability and descriptive statistics
Prerequisites
Prerequisites: KMI/MATI or KMI/MATIA Mathematics 1 Equivalence: KMI/TPS1A Theory of Probability and Statistics 1

Assessment methods and criteria
Combined exam

The prerequisite is the active participation of students in the exercises. Credit requirements: 1) in the first term: successful completion of two intermediate credit tests, with at least 55% on average for both intermediate tests combined, 2) in the second term: successful completion of the remedial test with a pass rate of at least 55%.
Recommended literature
  • Freeman, J., Shoesmith, E., Sweeney, D., Anderson, D., Williams, T. Statistics for Business and Economics. Cengage, 2017.
  • Hindls, R. a kol. Statistika v ekonomii. Praha: Professional Publishing, 2018. ISBN 978-80-88260-09.
  • Mrkvička, T., Petrášková, V.:. Úvod do statistiky. Jihočeská univerzita, České Budějovice,, 2006.
  • Mrkvička, T., Petrášková, V. Úvod do teorie pravděpodobnosti. České Budějovice, 2008.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Economics Study plan (Version): Management of Commerce (4) Category: Economy 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Economics Study plan (Version): Economic Informatics (4) Category: Economy 2 Recommended year of study:2, Recommended semester: Winter