REQUIRED TEXTS: A. Haddad, Probabilistic Systems and Random
Signals , Prentice Hall, 1 st edition REFERENCE TEXTS: None
COURSE COORDINATOR: Abraham Haddad COURSE GOALS: To teach
students the basic concepts of probability theory and
statistics, random variables, conditional distributions, and
correlation as they arise in engineering signal and systems
models. PREREQUISITE : Mathematics 234 DETAILED COURSE TOPICS
Week 1: Techniques for Summarizing and Simulating Data, Sample
Space. How data is represented, models for random experiments,
sample space, basic definition of probability. Week 2: Basic
Probability Concepts - Conditional Probability, Bayes' Rule.
Conditional probability and independence, Bayes' rule,
applications to error models and reliability. Week 3: Random
Variables - Models of Random Variables and Distributions.
Distributions, discrete and continuous, basic engineering
examples. Week 4: Averages, Functions, and Various Important
Distributions. Averages, functions of random variables,
conditional