 # Probability and Statistics

### Studijní plán: Finance a řízení - platný pro studenty, kteří započali studium od ZS 2009/2010

Předmět Probability and Statistics ( PSTa ) Katedra matematiky ( KM ) RNDr. Jana Borůvková, Ph.D. ( boruvkova@vspj.cz ) Anglicky 6 Pravděpodobnost a statistika ( PST )
Prezenční studium
Přednáška 2 h
Cvičení 2 h

Studijní plán Typ Sem. Kred. Ukon.
Cestovní ruch - platný pro studenty, kteří započali studium od ZS 2009/2010 P 3 6 kr. Z,ZK
Erasmus - Aplikovaná informatika - příjezd na krátkodobý studijní pobyt PV 1 6 kr. Z,ZK
Erasmus - Cestovní ruch - příjezd na krátkodobý studijní pobyt PV 1 6 kr. Z,ZK
Erasmus - Finance a řízení - příjezd na krátkodobý studijní pobyt PV 1 6 kr. Z,ZK
Erasmus - Počítačové systémy - příjezd na krátkodobý studijní pobyt PV 1 6 kr. Z,ZK
Erasmus - Porodní asistentka - příjezd na krátkodobý studijní pobyt PV 1 6 kr. Z,ZK
Erasmus - Všeobecná sestra - příjezd na krátkodobý studijní pobyt PV 1 6 kr. Z,ZK
Erasmus - Zdravotně sociální pracovník - příjezd na krátkodobý studijní pobyt PV 1 6 kr. Z,ZK
Finance a řízení - platný pro studenty, kteří započali studium od ZS 2009/2010 P 3 6 kr. Z,ZK
Finance a řízení - platný pro studenty, kteří započali studium od ZS 2011/2012 P 3 6 kr. Z,ZK

#### Sylabus

• Introduction to statistics
• Statistical tools and terminology
• Statistical data processing
• Characteristics of location
• Averages
• Characteristics of variability
• Probability
• Addition of probabilities, disjoint events
• Multiplication of probabilities, independent events
• Conditional probability, Bayes theorem
• Random variables, characteristics, probability and distribution function
• Distribution of discrete random variable
• Distribution of continuous random variable
• Normal distribution
• Random sampling and sample mean
• Point and interval estimation
• Hypotheses testing

#### Doporučená literatura

• ADAMEC, I. Applied statistics – Statistics. Brno: Mendelova Univerzita, 2010. ISBN 978-80-7375-455-6.
• WONNACOTT, T.H., WONNACOTT, R.J. Introductory statistics for business and economics. Ontario, USA: John Wiley and sons, 1990. ISBN 978-0-471-61517-0.

#### Anotace

The aim of this course is to familiarize students with basic statistical terms and processes, which can be used for data processing and data analysis. The second part of the course is devoted to probability and calculations with random events. Furthe r part is aimed to random variables, especially with normal distribution of continuous random variables. The last topics are mathematical statistics, random sampling and statistical induction (estimates, hypotheses testing) investigating mean values of normal and alternative distribution.

Knowledge: Student knows and is able to use basic principles of descriptive statistics – data classification and calculation of important values. Student knows basic statistical attributes of the dataset and is able to use principles of their evaluation with the help of statistical characteristics (location and variability evaluation, attributes and characteristics based on moments). Student is able to use basic principles od decision problems under the risk conditions. Student knows, how to work with distribution of discrete and continuous random variables. Student is able to use basic principles of statistical induction (point and interval estimation, hypotheses testing) based on normally distributed random variables. Student is able to explain results of evaluated characteristics.

Skills: Student is able to evaluate simple or interval data classification and to present the results in the form of the chart or table and to evaluate important dataset values. Student is able to calculate statistical characteristics of the dataset from classified or unclassified data and to explain the results. Student is able to solve the problems with random events and their probabilities. Student is able to make the charts of probability (density) and distribution functions of basic kinds of distribution of discrete and continuous random variables and to evaluate their location and variability characteristics. Student is able to solve the problems with normal distribution. Student is able to construct point and interval estimators of unknown parameters based on normal distribution. Student is able to solve and explain the results of various basic hypotheses tests of unknown parameters based on test criterion normality.

General qualification: Student has overview of the basic statistical principles. Student knows the meaning of probability, practically sure event and risk principles. Student is able to apply the random events probability knowledge in simple examples of statistical induction based on normality of random variables. Student is able to apply the knowledge in other courses of his field of study and by the bachelor work elaboration.

# Kontakty

Vysoká škola polytechnická Jihlava
Tolstého 16
586 01 Jihlava

Kontakt:
Telefon: +420 567 141 111
Fax: +420 567 300 727
Email: vspj@vspj.cz
ID datové schránky: w9ej9jg

IČ: 71226401
DIČ: CZ71226401

Studijní oddělení:
Telefon: +420 567 141 181
Email: studijni@vspj.cz  Čekejte prosím, stránka se načítá