Back   Loomen   Schedule   Hrvatski

## Course groups

Prikaži sve grupe na predmetu

## Course description

Fundamentals of combinatorics. Algebra of events. Probability and properties. Random variable. Distribution function of a random variable. Discrete and continuous probability distributions (hypergeometric, binominal, Poisson, normal, uniform, exponential, Chi-squared, student`s t-distribution). Numerical properties of distributions. Two-dimensional probability distributions. Moments and correlations. Statistical set with parameters. Empirical and two-dimensional distributions. Correlation and regression analysis. Samples and numerical properties of samples. Parameter estimation. Interval estimation. Statistical hypothesis testing. Examples of statistical models, statistical thinking and application of statistical programmes. Writing a seminar paper.

## Knowledge and skills acquired

Introduction to statistical terminology and laws, construction of statistical models and their application in engineering, process control, quality control and other problems. Preparing students for a lifelong learning process and the applicational use of mathematical tools.

## Teaching methods

Mandatory lectures and exercises.

## Student requirements

Defined by the Student evaluation criteria of the Faculty of Electrical Engineering, Computer Science and Information Technology Osijek and paragraph 1.9

## Monitoring of students

Defined by the Student evaluation criteria of the Faculty of Electrical Engineering, Computer Science and Information Technology Osijek and paragraph 1.9

## Student assessment

During the semester, students can take several revision exams which replace the written exam. This ensures a continuous assessment of studentsâ€™ work and knowledge.

## Obligatory literature

1. 1 Galić, R. Vjerojatnost i statistika Osijek: ETF, 2013.

2. 2 Montgomery, D.C. Applied Statistics and Probability for engineers USA: Wiley, 2014.

3. 3 R. Galić Statistika ETFOS, Osijek, 2004

Pretraži literaturu na: 1. 1 Pavlić Statistička teorija i primjena Tehnička knjiga, Zagreb, 2000.

2. 2 Ž. Pauše Uvod u matematičku statistiku Školska knjiga, Zagreb, 1995.

3. 3 Ž. Pauše Vjerojatnost i stohastički procesi Školska knjiga, Zagreb, 2004

4. 4 G. M. Clarke, D. Cooke A Basic Course in Statistics Arnold, London, 1992.

5. 5 R. Galić Vjerojatnost ETFOS, Osijek, 2004

## Examination methods

The final assessment consists of both the written and oral exam upon completion of lectures and exercises. During the semester, students can take several revision exams replacing the written exam.

## Course assessment

Conducting university questionnaires on teachers (student-teacher relationship, transparency of assessment criteria, motivation for teaching, teaching clarity, etc.). Conducting Faculty surveys on courses (upon passing the exam, student self-assessment of the adopted learning outcomes and student workload in relation to the number of ECTS credits allocated to activities and courses as a whole).

## Overview of course assesment

Learning outcomes
Upon successful completion of the course, students will be able to:

1. design a problem model using basic counting rules and basic concepts from combinatorics

2. construct a model for calculating a probability problem by using the rules for calculating the probability of a union and intersection of an event, as well as conditional probability rule using total probability rule and Bayes' theorem

3. design an expression to calculate a probability problem using the terms from the random variables theory

4. in the analysis of the set statistical data group, create mathematical expressions using the basic statistics formulas

5. define and distinguish the basic concepts of statistical tests and apply the appropriate statistical tests on practical examples

Aktivnosti studenta: Vidi tablicu aktivnosti