Course detail

Probability Statistics

FP-PSAcad. year: 2011/2012

The fundamentals of theory probability, random events, random variables, random vectors, decision-making under risk and uncertainty, analysis of indicies.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. RNDr. Jiří Kropáč, CSc.

Department

Institute of Informatics (ÚI)

Learning outcomes of the course unit

Students will be made familiar with the fundamentals of probability theory, decision-making under risk and uncertainty and index numbers, and will learn how to use its methods to solve economic problemes. After completion of this course students will be prepared to study economic topics working with uncertainty.

Prerequisites

Fundamentals of linear algebra and mathematical analysis.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

COURSE-UNIT CREDIT: The course-unit credit is awarded on the following conditions:
- participation in seminars,
- passing control tests,
- submitting answers to calculating questions and theoretical questions.

EXAM: The exam has a written form.
In the first part of the exam student solves 4 examples within 70-80 minutes. (It is allowed to use recomended literature.)
In the second part of the exam student works out answers to 3 theoretical questions within 15 minutes.
The mark, which corresponds to the total sum of points achieved (max 100 points), consists of:
- points achieved in control tests,
- points achieved by submitting theoretical questions, calculating questions and answers to calculating questions,
- points achieved by solving examples,
- points achieved by answering theoretical questions.

The grades and corresponding points:
A (100-920, B (89-83), C (82-76), D (75-69), E (68-60), F (59-0).

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The objective of the course is to make students familiar with the fundamentals of probability theory. They will be able to study economic topics working with uncertainty, and to solve the problems related to these topics applying the methods of this theory.

Specification of controlled education, way of implementation and compensation for absences

Attendance at lectures is not compulsory, but is recommended. Attendance at exercises is required and checked by the tutor. An excused absence of a student from seminars can be compensated for by submitting solution of alternate exercises.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

KROPÁČ, J. Statistika A. 3. vyd. Brno : FP VUT, 2008. ISBN 978-80-214-3587-2. (CS)

Recommended reading

HINDLS, R., HRONOVÁ, S., NOVÁK, I. Analýza dat v manažerském rozhodování. Praha : Grada Publishing, 1999. ISBN 80-7169-255-7 (CS)
WONNACOT, T. H., WONNACOT, R. J. Statistika pro obchod a hospodářství. Praha : Victoria Publishing, 1993. ISBN 80-85605-09-0. (CS)

Classification of course in study plans

  • Programme BAK Bachelor's

    branch BAK-DP , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Karel Doubravský, Ph.D.

Syllabus

Topics of lectures are the following:
- Classical definition of probability.
- Conditioned probability.
- Formula of total probability.
- Random variables.
- Discrete random variables.
- Special types of discrete random variables.
- Continuous random variables.
- Special types of continuous random variables.
- Discrete random vectors.
- Discrete random vectors.
- Composition index numbers.
- Aggregate index numbers.
- Decision-making on the risk.

Exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Karel Doubravský, Ph.D.

Syllabus

The topics and the numbers of exercises correspond to the topics dealt with in lectures.