Probability, Statistics, and Random Processes For Electrical Engineering [Paperback]

While helping students to develop their problem-solving skills, the author motivates students with practical applications from various areas of ECE that demonstrate the relevance of probability theory to engineering practice.

1. Probability Models in Electrical and Computer Engineering.

Mathematical models as tools in analysis and design. Deterministic models. Probability models.

Statistical regularity. Properties of relative frequency. The axiomatic approach to a theory of probability. Building a probability model.

A detailed example: a packet voice transmission system. Other examples.

Communication over unreliable channels. Processing of random signals. Resource sharing systems. Reliability of systems.

Overview of book. Summary. Problems.

2. Basic Concepts of Probability Theory.

Specifying random experiments.

The sample space. Events. Set operations.

The axioms of probability.

Discrete sample spaces. Continuous sample spaces.

Computing probabilities using counting methods.

Sampling with replacement and with ordering. Sampling without replacement and with ordering. Permutations of n distinct objects. Sampling without replacement and without ordering. Sampling with replacement and withoulS+