Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
İST201PROBABILITYCompulsory237
Level of Course Unit
First Cycle
Objectives of the Course
The aim of this course is to comprehend the asimptotic structure of the theory of statistics forming a basis to subject of statistics and in solving problems obtaining the ability of applying this structure.
Name of Lecturer(s)
Prof. Dr. Onur KÖKSOY
Learning Outcomes
1To be able to express the concepts of the theory of statistics depending on the concepts of sets.
2To be able to prove the teorems of probability depending on the set concepts.
3To be able to use the gained knowledge in solving the problems.
4To be able to analyse the discrete and continuous random variables and their probability distributions.
5To be able to distinguish distribution function and cumulative distribution function.
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Concept of Probability, Sample space and events, Some relations from set theory, Axioms, properties of probability, Principles of counting: Basic Prensiple of counting, Conditional probability, The multiplication rule, Independence, Discrete random variables and Probability distributions, Cumulative distribution function, random variable and the expected value of a function of a random variable, Bernoulli,Binomial, Hypergeometric and Negative Binomial Distributions and properties, Generalization of Binomial distribution for Poisson Distribution, Continuous Random variables and Probability Distributions, Cumulative Distribution functions and expected values, Normal Distribution, Gamma Distribution and derivates, Other continuous distributions, Joint Probability distributions and density functions, Marginal Probability distribution functions and density functions, Joint Probability Distibution functions, Expected value, Covariance, Correlation
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1 Definitions on Probability theory
2Set theory and relations
3Properties of probability concept and axioms
4Counting techniques, permutation, combination
5Conditional probbaility, multiplication rule and concepts of independence
6Discrete random variables, probability distributions, Cumulative distribution function and expected value
7Special disributions and basic properties
8Mid-term Examination
9Continuous random variables and probability distributions
10Cumulative distribution function and expected value
11Continuous distributions and basic properties
12Joint probability distribution and probability density function
13Marginal probability distribution function and density function
14Joint cumulative distribution functions
15Expected value, covariance and correlation
16Final Examination
Recommended or Required Reading
Hogg, R., V., Tannis, E., A., “Probability and Statistical Inference”, Mendenhall, W., “Introduction to Probability and Statistşcs”, University of Florida, Emerritus (1997), Jay L. Devore, “Probability and Statistics for Engineering and the Sciences” (1997)
Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
English
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Quiz4832
Attending Lectures14456
Tutorial14342
Problem Solving2816
Question-Answer2816
Individual Study for Homework Problems12020
Individual Study for Mid term Examination12727
Individual Study for Final Examination12727
TOTAL WORKLOAD (hours)240
Contribution of Learning Outcomes to Programme Outcomes
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LO15  4445  5  5    44    4
LO25  4445  5  5    44    4
LO35  4445  5  5    44    4
LO45  4445  5  5    44    4
LO55  4445  5  5    44    4
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr