The content of the course Probability - Statistics aims to give the student all those "tools" to be able to develop skills for: (a) (mathematical) analysis and (b) modeling of phenomena involving randomness (c) processing data and drawing conclusions on problems encountered in the social, political, economic sciences, biology, medicine e.t.c.

Upon successful completion of the course, the students will be able to:

• Use the proper definition/probability theorem or the suitable combinatorics formula in order to compute the probability of a given event.
• Recognize the basic probability distributions/random variables.
• Use the proper probability distribution in order to solve problems, characterized by some kind of randomness.
• Process experimental and numerical data.
• Use the proper statistical methods for problem solving.
• Apply statistical methods, with the use of the proper software, to problems of Chemical and Environmental Engineering.

• Work autonomously
• work in teams
• Retrieve, analyze and synthesize data and information, with the use of proper technologies.

1. Introduction to Probability Theory Ι (probability, combinatorics, independence,  conditional probability).
2. Introduction to Probability Theory ΙΙ (random variables, most commonly used discrete and continuous r.v.s , applications.
3. Central Limiting Theorem (C.L.T.) and somme of its applications.
4. Descriptive Statistics.
5. Sampling distributions.
6. Inductive Statistics .
7. Confidence interval (for mean, proportion, variance, difference of means, difference of proportions, ratio of variances).
8. Hypothesis testing (for mean, proportion, variance, difference of means, difference of proportions, ratio of variances).
9. Simple linear regression.
10. Multiple linear regression.
11. Ανάλυση διασποράς κατά έναν παράγοντα.
12. Non parametric Statistics.
13. Applications using Statistical software  (S.P.S.S  &  Minitab).

Assessment Method

• Questions of theoretical knowledge.
• Theoretical problems to be resolved.

OR

I. Midterm and final exam (100%=50%+50%)

II.“Bonus” exercises (10% in addition to the project grade).

• T.Daras, P. Sypsas,  “Probability and Statistics: Theory and Applications” ,  2010, Ed. Ziti (In Greek)
• G.Bamberg, F.Baur, M.Krapp, Statisstics, 2013, Ed. Propobos.
• Zairis P. “Statistical Methodology, 2010, Ed. Kritiki. 
• E-class notes