Study program:
Environmental Engineering** (IV semester -OAS)**,
Mining Engineering** (IV semester -OAS)**,
Petroleum Engineering** (IV semester -OAS)**

Name of subject: Probability and Statistics

Instructors: Dr Ranka Stanković, Maja Ristić

Status: Compulsory

ECTS: 5

Prerequisites: Mathematics 1, Mathematics 2

Course Objectives: Introduction to the theory and practice of the basic methods in probability and statistics for engineers

Learning Outcomes: Students will be trained to use the probability and statistics method in engineering practice

Content:

*Theory teaching*

Experiment and random event. Space of elementary events. Relationships and operations with events. An axiomatic definition of probability. Classical definition of probability. Conditional probability, independence of events. The complete probability formula and the Bayes formula. Random variables, density, and distribution function. Discrete and continuous random variables.
Some more important probability distribution functions of discrete random variables: Binomial (Bernoulli), Poisson, Uniform, Geometric, Exponential. Some important probability distribution functions of continuous random variables: Normal, gamma, exponential, beta. Mathematical expectation, variance, moments and correlation coefficient. Limit theorems: Poisson’s and normal approximation of binomial distribution, law of large numbers, Central Limit theorem. Basic concepts of statistics: log-normal, student, chi squared, Phisher’s distributions. Interval estimation of distribution parameters. Hypothesis testing, variance analysis. Linear, nonlinear and n-dimensional regression, Gauss’s least squares method, Spearman’s test for range correlation

*Practical teaching*

Creating tasks that correspond to the material in the lectures.

Suggested Reading List

- Milan Merkle, Verovatnoća i statistika za inženjere i studente tehnike, Akademska misao, Beograd, 2006.
- Biljana Popović i Miroslav Ristić, Statistika za geografe, Niš, 2006.
- Vesna Jevremović, Verovatnoća i statistika (Matematika III), Građevinski fakultet i KRUG, Beograd, 1999.
- Slobodan Vujić i Aleksandar Ivić, Matematičke metode u rudarstvu i geologije, RGF, Univerzitet u Beogradu, 1991.
- Sheldon M. Ross, Introduction to Probability and Statistics for Engineers and Scientists, 3rd edition, Elsevier Academic Press, 2004.

Fund Hours:

Lectures | Exercises | Other forms of teaching | Study research |

2 | 2 | 0 | 0 |

Conduct of the Course: A classic method over the board, there is a handbook A. Ivic on the Faculty website

AssessmentОцена знања:

Final Exam | ECTS |

Oral Exam | 25 |

Written Exam | 25 |

Classwork Assessment | ECTS |

Class Participation | 30 |

Written Tests | 20 |

Additional Assessment Criteria -