Telecomminications course for School of Engineering and Technology
AT77.9015 : Selected Topic: Probability Theory 1(1-0) [Elective course]
Rationale:
To provide the fundamental knowledge of Probability Theory which is widely used in analysis of data and computer communications. The fundamental principles of probability Theory are thoroughly presented and then applied in data communication networking.
Catalog Description:
Introduction to Probability Theory. Random Variables. Conditional Probability and Conditional Expectation. The Exponential Distribution and Poisson Process
Pre-requisite(s):
None
Course Outline:
I Introduction to Probability Theory
Sample Space and Events
Probabilities Defined on Events
Conditional Probabilities
Independent Events
Bayes’ Fomula
II Random Variables
Random Variables
Discrete Random variables
Continuous Random Variables
Expectation of a random Variables
Jointly Distributed Random variables
Moment Generating Functions
Stochastic Processes
III Conditional Probability and Conditional Expectation
The Discrete case
The Continuous case
IV The Exponential Distribution and Poisson Process
The Exponential Distribution
The Poisson Process
Generalizations of the Poisson Process