Information Package / Course Catalogue
Fundamentals of Probability and Random Variables
Course Code: EE254
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: English
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 4
Objectives of the Course

Providing basics of fundamental probability and statistics problems arising in Engineering

Course Content

Data analysis, Measures of central and distribution tendencies, Concept of probability, discrete and continuous probability distributions, Random variables, One and two sample tests of hypothesis, Simple Linear Regression and Correlation

Name of Lecturer(s)
Prof. Yılmaz KALKAN
Learning Outcomes
1.To understand the concept of probability, conditional probability and Bayes theorem
2.To analyze discrete and continuous probability distributions
3.To understand the random variable concept and calculate its statistical parameters
4.To understand the random process concept
5.To learn the applications of random variables and random processes in Electrical&Electronics Engineering
Recommended or Required Reading
1.Walpole, Ronald E.; Myers, Raymond H.; Myers, Sharon L.; Ye, Keying E.; Probability and Statistics for Engineers and Scientists; ISBN-13: 978-0321629111; Edition: 9; 2011
Weekly Detailed Course Contents
Week 1 - Theoretical
Olasılığa giriş
Week 2 - Theoretical
Probability (Sample Space, Events, Counting Sample Points, Multiplication Rule, Permutation, Combination, Probability of an Event)
Week 3 - Theoretical
Conditional probability, Independence and the Product Rule, Bayes’ Rule
Week 4 - Theoretical
Measures of distribution, variance and standard deviation.
Week 5 - Theoretical
Concept of probability, conditional probability, Bayes formula
Week 6 - Theoretical
Random Variables and Probability distributions-Discrete Probability Distributions
Week 7 - Theoretical
Continuous Probability Distributions, Joint Probability Distributions
Week 8 - Theoretical
Mathematical Expectation (Mean of a random variable, Variance of a random variable, Means and variances of Linear Combinations of random variables.)
Week 9 - Theoretical
Some Discrete and Continuous Probability Distributions (The Bernoulli Process, Binomial Distribution, Uniform Distribution,Normal Distribution)
Week 10 - Theoretical
Some Discrete Probability Distributions (The Bernoulli Process, Binomial Distribution)
Week 11 - Theoretical
Some Continuous Probability Distributions (Uniform Distribution,Normal Distribution)
Week 12 - Theoretical
Some Continuous Probability Distributions (Exponential Distribution)
Week 13 - Theoretical
Random Processes
Week 14 - Theoretical
Random Processes
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141356
Individual Work140114
Midterm Examination110212
Final Examination114216
TOTAL WORKLOAD (hours)98
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
OÇ-1
4
4
3
3
3
2
1
1
1
1
2
OÇ-2
4
4
3
3
3
2
1
1
1
1
2
OÇ-3
4
4
3
3
3
2
1
1
1
1
2
OÇ-4
4
4
3
3
3
2
1
1
1
1
2
OÇ-5
4
4
4
3
3
2
1
1
1
1
2
Adnan Menderes University - Information Package / Course Catalogue
2026