Probability and Statistics

• Klasična definicija vjerojatnosti
• Operacije među događajima
• Uvjetna i totalna vjerojatnost
• Geometrijska vjerojatnost
• Diskretne slučajne varijable
• Kontinuirane slučajne varijable
• Prvi kolokvij
• Statistička populacija i slučajni uzorak
• Grafičko prikazivanje statističkih podataka
• Procjenitelji
• Intervalne procjene očekivanja
• Intervalne procjene varijance
• Testiranje hipoteza
• Linearna regresija
• Drugi kolokvij

1. calculate probabilities of events using classical definition of probability
2. calculate probabilities using sum rule
3. calculate conditional probabilities and probabilities using the law of total probability
4. calculate geometric probability
5. determine expected values, variances and standard deviations of discrete random variables
6. distinguish between discrete and continuous random variables
7. calculate probabilities in normal distribution
8. distinguish between populations and samples
9. sketch histograms and frequency polygons
10. find sample means and unbiased sample variances
11. find confidence intervals for means
12. find confidence intervals for variances
13. accept or reject statistical hypoteses
14. determine linear regression line, Pearson and Spearman correlation coefficient

Required reading

• S. Suljagić: Vjerojatnost i statistika, skripta, 2003. http://nastava.tvz.hr/ssuljagic/
  M. Orlić, T. Perkov: Repetitorij matematike za studente graditeljstva, TVZ, Zagreb, 2014.
  B. Kovačić, L. Marohnić, M. Orlić Bachler, TVZ, Zagreb, 2023.
  M. Orlić Bachler, I. Volarić: Onove računalnog programa Maxima, TVZ, Zagreb, 2020.

Further reading

• Ž. Pauše, Vjerojatnost, Školska knjiga, Zagreb, 1974.
  I. Pavlić, Statistička teorija i primjena, Tehnička knjiga, Zagreb, 1971.
  K. Singh: Engineering mathematics through applications, Palgrave Macmillan, 2003.