Probability and Statistics
Learning Outcomes
- solve problems of evaluating probability of a given event
- recognize specific discrete or continuous distribution
- solve problems of evaluating expectation and variance of some distribution
- analyze given data
- solve problems of point and interval estimation
- use statistical tests
- demonstrate ability for mathematical modelling
- use critical thinking
Forms of Teaching
Lectures
4 hours per week
Exercises1 hour per week
Independent assignmentseach student must solve some problems on their own
Laboratory6 hours per semester, 4 out of those 6 hours students work on their own
Grading Method
Continuous Assessment | Exam | |||||
---|---|---|---|---|---|---|
Type | Threshold | Percent of Grade | Threshold | Percent of Grade | ||
Quizzes | 0 % | 10 % | 0 % | 10 % | ||
Mid Term Exam: Written | 0 % | 50 % | 0 % | |||
Final Exam: Written | 0 % | 40 % | ||||
Exam: Written | 0 % | 90 % |
Week by Week Schedule
- Probability; equally likely outcomes; geometric probability.
- Conditional probability; independence; law of yotal probability; Bayes' rule.
- Discrete random variables and random vectors; marginal distribution; conditional distribution.
- Moments; characteristic function; generating functions.
- Geometric Distribution; Binomial Distribution; Poisson Distribution.
- Random variables; probability distributions; probablitiy densities; Functions of random variables.
- Exponential distribution; normal distribution.
- Midterm exam.
- Random vectors; conditional probability distributions.
- Functions of random vectors; Law of large numbers and central limit theorem.
- Measures of central tendency (mean, median, mode); measures of dispersion (standard deviation, variance, quantile, and IQR); Unbiased point estimations; Maximal-likelihood estimation.
- Interval estimations; confidence intervals; Confidence Intervals for parameters of normal distribution.
- Hypothesis testing; type of errors; parametric hypothesis testing; sampling distributions.
- Hypothesis testing; type of errors; parametric hypothesis testing; sampling distributions; Pearson's Chi-squared Test (Goodness-of-fit tests, tests of independence and homogeneity).
- Final exam.
Study Programmes
University undergraduate
Computing (study)
(3. semester)
(4. semester)
Electrical Engineering and Information Technology (study)
(4. semester)
Literature
(2018.), N.Elezović: Vjerojatnost i statistika, Element, Zagreb
(1989.), Ž. Pauše, Uvod u matematičku statistiku, Školska knjiga, Zagreb
(1989.), Ž. Pauše, Riješeni primjeri zadaci iz vjerojatnosti i statistike, Školska knjiga, Zagreb
Associate Lecturers
Exercises
Laboratory exercises
General
ID 183401
Winter semester
6 ECTS
L1 English Level
L1 e-Learning
60 Lectures
15 Exercises
6 Laboratory exercises
0 Project laboratory
Grading System
85 Excellent
70 Very Good
55 Good
45 Acceptable