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13E082VS - Probability and Statistics

Course specification
Course title Probability and Statistics
Acronym 13E082VS
Study programme Electrical Engineering and Computing
Module
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB 6.0 Status elective
Condition Mathematics 1 and Mathematics 2 (passed exams).
The goal Understanding applications of methods of Probability and Statistics in solving problems from real world, in particular in engineering problems. Enabling students to solve various real world problems, applying the metods of Probability and Statistics, determining the correct mathematical model, and performing related parameter estimation and testing hypotheses
The outcome A student will be familiar with basic and moderately complex discrete and continuous stochastic models. He/she will be able to apply correct models in real life problems, and to apply tools and methods of statistics and probability.
Contents
Contents of lectures Introduction and combinatorics. Conditional probability. Bayes formula and applications. Random variables. Numerical characteristics. Random vectors. Characteristic functions. Limit theorems. Parameter estimation. Hypotheses testing. Conditional distributions. Linear regression. Monte Carlo methods.
Contents of exercises Lab exercises: Solving problems in Probability and Statistics by methods of simulations, and graphical presentations of results.
Literature
  1. Milan Merkle: Probability and Statistics for engineers and students of engineering, fourth revised edition, Academic Mind 2016.
Number of hours per week during the semester/trimester/year
Lectures Exercises OTC Study and Research Other classes
2 2 1
Methods of teaching 30 hours of theoretical lecturing, 30 hours of exercises, 15 hours of lab.
Knowledge score (maximum points 100)
Pre obligations Points Final exam Points
Activites during lectures 0 Test paper 70
Practical lessons 6 Oral examination 0
Projects 0
Colloquia 24
Seminars 0