Probability and statistics

1.

Subject title

Probability and statistics

Веројатност и статистика

2.

Code

F23L2W006

3.

Study program

Примена на информациски технологии, Софтверско инженерство и информациски системи, Интернет, мрежи и безбедност, Software engineering and information systems, Компјутерски науки, Компјутерско инженерство, Примена на информациски технологии, Софтверско инженерство и информациски системи, Компјутерски науки, Интернет, мрежи и безбедност, Информатичка едукација, Software engineering and information systems, Стручни студии за програмирање, Стручни студии за програмирање, Компјутерско инженерство, Statistics and Data Analytics,

4.

Organizer of the study program (unit, institute, department, division)

Faculty of Information Sciences and Computer Engineering

5.

Study cycle (first, second, third)

Прв циклус

6.

Academic year / semester

2 / Зимски

7. Number of ECTS credits

6.0

8.

Instructor

проф. д-р Александра Поповска Митровиќ проф. д-р Билјана Тојтовска Рибарски проф. д-р Наташа Илиевска проф. д-р Верица Бакева

9.

Prerequisites for enrollment

Калкулус 1 или Математика 1

10.

Subject goals and competencies:

To introduce the basic concepts of probability and statistical analysis with a discussion of applications in computer science. To enable students to successfully follow vocational courses in which elements of probability theory and statistics are applied.

11.

Subject content:

Elements of combinatorics. Probability of random events. Properties of probabilities. A discrete probability space. Classic definition. Conditional probability. Bayes rule. Independence of random events. Bernoulli scheme. Discrete and continuous distributions. Random vectors: marginal and conditional distributions. Functions of random variables. Numerous characteristics of random variables: mathematical expectation, dispersion of a random variable, correlation coefficient between two random variables. Law of large numbers. Central Border Terrorism. Elements of Statistics: Population and Sample, Parameters and Statistics. Basic data processing and descriptive statistics. Mathematical model of random sampling. Distributions of sample statistics: normal, t-distribution, Chi-square, and F-distribution. Estimation of feature parameters: method of moments, method of maximum likelihood, confidence intervals. Parametric tests. Nonparametric tests. Linear regression, least squares estimation.

12.

Learning methods:

Предавања со користење на презентации, интерактивни предавања, вежби (користење на опрема и софтверски пакети), тимска работа, пример случаи, поканети гости предавачи, самостојна изработка и одбрана на проектна задача и семинарска работа.

13.

Total available time fund

6.0 ECTS x 30 hours = 180 hours

14.

Time distribution

45 + 45 + 45 + 0 + 45 = 180 hours

15.

Forms of teaching activities

15.1.

Lectures - theoretical teaching

45 hours

15.2.

Exercises (laboratory, classroom), seminars, team work

45 hours

16.

Other forms of activities

16.1.

Project tasks

0 hours

16.2.

Independent tasks

45 hours

16.3.

Homework

45 hours

17.

Grading method

17.1.

Tests

0 points

17.2.

Seminar work / project (presentation: written and oral)

0 points

17.3.

Activities and learning

0 points

17.4.

Final exam

100 points

18.

Grading criteria (points / grade)

up to 50 points

5 (five) (F)

from 51 to 60 points

6 (six) (E)

from 61 to 70 points

7 (seven) (D)

from 71 to 80 points

8 (eight) (C)

from 81 to 90 points

9 (nine) (B)

from 91 to 100 points

10 (ten) (A)

19.

Condition for signature and taking final exam

Реализирани актибвности 15.2 и 16.1

20.

Language of instruction

Македонски и англиски

21.

Quality assurance method

механизам на интерна евалуација и анкети

22.

Literature

22.1.

Mandatory literature

22.2.

Additional literature