EE 304

Course Code & Number

EE 304

Course Title

Probability and Random Variables

Level

BS

Credit Hours/ ECTS Credits

(3+0+0) 3 TEDU Credits, 5 ECTS Credits

Year of Study:

Junior

Semester:

Spring

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite::

Catalog Description

Experiments, models, and probabilities. Sequential experiments. Discrete random variables. Continuous random variables. Multiple random variables. Independence of random variables. Correlation. Covariance. Derived random variables. Distributions of functions of random variables. Conditional probability models. Conditioning random variables by an event. Conditioning by a random variable. Iterated expectation.

Course Objectives

This course enhances students' understanding of probability and random variables, equipping them with essential tools to address engineering challenges in various fields, including communications, signal processing, and other relevant disciplines. Through theoretical foundations and practical applications, the course provides students with the expertise to analyze and solve complex problems in real-world scenarios.

Course Learning Outcomes

Upon successful completion of this course, students will be able to:
(1) Explain the basic probability theory concepts, including random experiments, axioms, conditional probability, and independence,
(2) Express probability mass function (PMF), cumulative distribution function (CDF), expected value, and variance for discrete random variables,
(3) Use probability density function (PDF) and CDF to investigate continuous random variables,
(4) Analyze joint probability distributions of multiple random variables, marginal distributions, correlation, and covariance,
(5) Evaluate the probability distribution of a function of random variables,
(6) Formulate conditional probability distribution functions for discrete and continuous random variables.

Assessment Methods and Criteria Others:

Active Learning Exercises

Recommended Reading

(1) Leon-Garcia, A. (2008). Probability, Statistics, and Random Processes For Electrical Engineering. 3rd Ed., Pearson.
(2) Bertsekas, D. P., & Tsitsiklis, J. N. (2002). Introduction to Probability. 2nd Ed., Athena Scientific.

Course Coordinator:

Hüseyin Uğur Yıldız