Title  ΠΙΘΑΝΟΤΗΤΕΣ ΚΑΙ ΣΤΑΤΙΣΤΙΚΗ / Probability and Statistics 
Code  ΜΑΕ201 
Faculty  Sciences 
School  Physics 
Cycle / Level  1st / Undergraduate 
Teaching Period  Spring 
Coordinator  Kosmas Kosmidis 
Common  No 
Status  Active 
Course ID  40003045 
Programme of Study: UPS of School of Physics (2012today)
Registered students: 110
Orientation  Attendance Type  Semester  Year  ECTS 

Core  General Electives  8  4  4 
Academic Year  2019 – 2020 
Class Period  Spring 
Instructors from Other Categories 

Weekly Hours  3 
Class ID  600159943

Type of the Course
 General Knowledge
Course Category
General Foundation
Mode of Delivery
 Face to face
Digital Course Content
Language of Instruction
 Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Knowledge of Mathematics at the level of Lyceum
Learning Outcomes
Students should be able to solve problems in Probabilitiy and Statistics as well as analyze experimental results.
General Competences
 Apply knowledge in practice
 Make decisions
Course Content (Syllabus)
A. PROBABILITY
Theory of sets and probability,(events, axioms of probability, conditional probability, Bayes' theorem, combinatorial analysis, tree diagrams)  random variables  probability distributions (discrete and continuous probability distributions, joint distributions, independent random variables, change of variables, convolutions)  mathematical expectation  variance and standard deviation  functions of random variables  standardised random variables  covariance  correlation coefficient  Chebyshev's inequality and the law of large numbers  specific probability distributions (binomial, normal, Poisson, uniform, Cauchy, gamma, chisquare and Student's distributions, relations between distributions, central limit theorem).
B. STATISTICS
Sampling theory (population and sample, random samples, sampling distributions, population parameters (means, proportions, differences, sums), sample statistics (sample mean, sample variance)  estimation theory (confidence intervals for means, proportions, differences, sums, variances)  tests of hypotheses and significance (statistical hypotheses, type I and type II errors, level of significance, one and twosided tests, special tests of significance, fitting of theoretical to sample frequency distributions, chisquare test, contigency tables)  curve fitting (regression, least squares method, standard error of estimate, multiple regression, linear and generalised correlation coefficient, sampling theory of regression and correlation).
Keywords
Probability, Statistics, Experimental data analysisy
Educational Material Types
 Book
Use of Information and Communication Technologies
Use of ICT
 Use of ICT in Communication with Students
Description
Return of homework via EMail
Information on the progress of the course
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  78  2.6  ✓  
Tutorial  39  1.3  ✓  
Exams  3  0.1  
Total  120  4 
Student Assessment
Description
Homework
Final exams
Student Assessment methods
 Written Assignment (Summative)
Bibliography
Course Bibliography (Eudoxus)
Πιθανότητες και Στατιστική, Murray R. Spiegel, Μετάφραση Σ.Κ. Περσίδης, ΕΣΠΙ
ΘΕΩΡΙΑ ΠΙΘΑΝΟΤΗΤΩΝ 1, ΚΛΑΣΙΚΗ ΠΙΘΑΝΟΤΗΤΑ, ΜΟΝΟΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ,ΣΤ. ΚΟΥΝΙΑΣ, ΧΡ. ΜΩΥΣΙΑΔΗΣ, ΖΗΤΗ
Additional bibliography for study
Introduction to Probability, J.L. Snell, McGrawHill
Probability Theory, L.L. Helms, W.H. Freeman
Last Update
09062016