# EE207 - Probability and Random Variables

```Semester
Course name: EE 207 – Probability
and Random Variables
Department: Electrical
and Electronics
Engineering
3
Methods of Education
Lecture
Recitation/
(Etud)
Lab
Project/Field
Study
Homework
Credit
(ECTS)
Other
Total
5
3x
3x
Language
Compulsory/Elective
Prerequisites
English
Compulsory
MATH 101 or MATH 102
Course Contents
The topics include sets, probabilities, conditional probability, Bayes’ formula,
independent events, discrete random variables, continuous random variables,
expectation, variance, covariance, jointly distributed random variables, central
limit theorem.
Course Objectives
To gain the ability to apply the concepts of probability and random variables
to engineering problems.
Learning Outcomes and
Competences
After taking this course, students will be able to understand:
1. Probability axioms, computing set probabilities
2. Random variables, probability mass functions and probability density
functions
3. Cumulative distribution functions, expectation, variance.
3. Joint random variables, covariance.
4. Central Limit Theorem
Textbook and /or
References
Assessment Criteria
Instructors
Textbook: Introduction to Probability, D. Bertsekas and J. N. Tsitsiklis, 2nd
Edition, Athena Scientific.
Additional Reference: Probability and Stochastic Processes, Yates and
Goodman, 2nd edition, John Wiley.
Midterm Exams
Quizzes
Homeworks
Projects
Term Paper
Laboratory work
Attendance
Final Exam
Assist. Prof. Dr. Serdar &Ouml;zyurt
If any, mark as (X)
Percentage (%)
X
35
X
15
X
50
```