Probability and statistics

Course title

Code

F18L2W006

Study programme

Organizer of the study programme (unit, institute, department)

Faculty of Computer Science and Engineering

Degree level (first, second, third cycle)

First cycle

Academic year / semester

3 / Winter

Number of ECTS credits

Teacher

—

Prerequisites for enrolling in the course

Калкулус или Калкулус 2 или Бизнис статистика

10.

Course objectives (competences)

Students will be introduced to basic concepts of probability and statistical analyses with their application in computer sciences. The knowledge of this subject is solid support for advanced courses where elements of probability and statistics are applied.

11.

Course content

Elements of combinatorics. Probability of random events. Probability properties. Discrete probability space. Classical definition of probability. Conditional probability. Bayes` rule. Independence of random events. Bernoulli`s scheme. Discrete and continuous distributions. Random vectors: marginal and conditional distributions. Functions of random variables. Numerical characteristics of random variables: mean, variance of random variable, correlation coefficient between two random variables. Law of large numbers.Central limit theorem. Elements of statistics: population and sample, parameters and statistics. Elementary data analyses and descriptive statistics. Mathematical model of random sample. Distributions of sample statistics: Normal distribution, t-distribution, Chi-square distribution and F-distribution. Point estimation: method of moments, maximum likelihood method and confidence intervals. Parametric tests. Nonparametric tests. Linear regression, the least squares estimators.

12.

Learning methods

Lectures using presentations, interactive lectures, exercises (using equipment and software packages), teamwork, case studies, guest lecturers, independent preparation and defense of a project assignment and a seminar paper.

13.

Total available time

6 ECTS x 30 hours = 180 hours

14.

Distribution of the available time

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

15.

Forms of teaching activities

15.1.	Lectures – theoretical teaching	45 hours
15.2.	Exercises (laboratory, auditory), seminars, team work	45 hours

16.

Other forms of activities

16.1.	Project assignments	0 hours
16.2.	Individual assignments	45 hours
16.3.	Home study	45 hours

17.

Grading

17.1.	Tests	0 points
17.2.	Seminar paper / project (presentation: written and oral)	0 points
17.3.	Activity and participation	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.

Requirements for signature and taking the final exam

Activities 15.2 and 16.1 have been completed.

20.

Language of instruction

Macedonian and English

21.

Method of monitoring teaching quality

internal evaluation and survey mechanism

22.

Literature

22.1.	Required literature No. Author Title Publisher Year
22.2.	Additional literature No. Author Title Publisher Year