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This course is to provide a theories of probability and random process through a series of practical applications with MATLAB. The topics will also cover the basic concept of probability, conditional probability, discrete random variables, multiple discrete random variables, continuous random variables, probability distribution, point estimator and confidence interval estimator, random processes, wide sense stationary random processes, Poisson processes, Gaussian random processes and some applications.
The topic will be included the following:

  1. Introduction
  2. Basic Probability
  3. Conditional Probability
  4. Discrete Random Variables
  5. Multiple Discrete Random Variables
  6. Continuous Random Variables
  7. Estimation
  8. Poisson Random Processes
  9. Gaussian Random Processes

This course will cover probability, and random processes. Examples relating to engineering will be used to illustrate the concepts. This course is required for engineering major and gives the student:

  1. An ability to design and conduct experiments, as well as analyze and interpret data
  2. An ability to formulate, and solve engineering problems
  3. An ability to use the techniques, and modern engineering tools necessary for engineering practice.