Izlence

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

Academic Year

2020

Semester

Spring

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.

Pre-requisite / Co-requisite

Instructor:

Hüseyin Uğur Yıldız

Syllabus File:

s1920_syllabus_ee304.pdf

Sap Event ID:

50137834

Office Hours:

Tuesday (16.00 –18.00) (or by appointment)

Teaching Assistant(s):

N/A

Required Reading:

R. D. Yates and D. J. Goodman, “Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers”, 3rd Edition International Student Version, Wiley, 2014.

Suggested / Recommended Reading:

• A. Leon-Garcia, “Probability, Statistics, and Random Processes For Electrical Engineering”, Prentice Hall, 3rd Edition, 2008.
• D. P. Bertsekas and J. N. Tsitsiklis, "Introduction to Probability", 2nd Edition, Athena Scientific, 2002.

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.

Software Usage:

MATLAB with Communications System Toolbox
https://www.mathworks.com/products/communications.html

Learning Activities and Teaching Methods:

Assessment Methods and Criteria:

Student Workload:

Assessment Methods and Criteria Others:

Active Learning Exercises

Assignments / Grading:

1. Homework Assignments [50%]: There are five homework assignments, 10% for each assignment. Each homework assignment lasts for one week. In the homework assignments, students are expected to solve several problems from the textbooks about the related topics that are covered in the lectures. Students are expected to submit their homework assignments online via Moodle. Students can submit their homework assignments by working in a group which consists of at most 2 students/group.
2. Online Quizzes [50%]: There are three online quizzes that should be completed via Moodle. Quiz#1, Quiz#2, and Quiz#3 worth 15%, 15%, and 20% of the total grade, respectively. The date and the time of each quiz are announced in the Moodle course homepage. Collaboration is not allowed in online quizzes. In each quiz, students receive four questions that are picked randomly from a database. Students are required to finish the quiz within the defined time interval (i.e., 1 hour). Details for the online quizzes are available from the Moodle course homepage.

Attendance:

Not required