Chapter 13: Functions of Real and Random Variables

This chapter summarizes the basic concepts of real and random variables as encountered in the practical usage of statistics and probability. The attempt here is not to explain the concepts fully but rather to sensitize the reader to their significance and their application.

DETERMINISTIC MATHEMATICS (REPLICATED BY MEAN)

Engineers use deterministic mathematical formulas involving functions of variables (sums, products, powers, etc.) to describe such things as:

• Geometry of objects: e.g., area, volume, arc lengths

• Physical laws: e.g., F = Ma, V = iR, etc.

• Processes