Consultations 
Friday, 12.00 – 14.00 
Gained competencies 
Students are prepared for scientific research, data processing and analysis of the results. 
Content (Course curriculum) 
 Introduction; permutations with and without repetition; combinations with and without repetition; variations with and without repetition; binomial theorem; definition of the basic concepts of probability; addition of probability; multiplication of probability; conditional probability; addition and multiplication theorem; Bayes’ theorem; mathematical expectation; Bernoulli probability events; Gaussian distribution; Gaussian integrals; average value; variance; Chebyshev’s theorem; law of large numbers (Bernoulli’s theorem); geometric probability; discrete and continuous probability; theorems of random variables; transformation of variables; method of least squares; error function; law of propagation of errors; the standard deviation of the mean; equalization indirect observations; basic concepts of statistics; moments of the distribution; distributions: Binomial, Poisson, hypergeometric, Gaussian; gamma distribution; definition of generating functions; generating function of binomial, Poisson and Gaussian distribution; the addition theorem for the Gaussian distribution; generating function of gamma distribution; characteristic functions; inversion theorem; cumulative functions; central limit theorem; correlations; linear correlation; regression curve; regression lines; correlation coefficient; nonlinear correlation; index of correlation; ratio of correlation; random walk in one dimension; Markov chains; Poisson process.

Recommended reading 
 Vjerojatnost i statistika, uvod – Z. Glumac,
 http://gama.fizika.unios.hr/~zglumac/uvs.pdf;
 Vjerojatnost i statistika, V. Vranić;

Additional reading 
 Statistička teorija i primjena, I. Pavlić;
 Introduction to Probability, C. M. Grinstead and J. M. Snell.

Instructional methods 
Lectures (30 hours) and auditory exercises (15 hours). 
Exam formats 
 Three preliminary exams (90 min.) during the semester (50% weighting) and oral exam (50% weighting).
 Or, one 2hour written examination (50% weighting) and oral exam (50% weighting).

Language 
Croatian or English (optional) 
Quality control and successfulness follow up 
Student survey.
Permanent contact with students. 