[5] Probability: The Mathematics of Randomness

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Probability: The Mathematics of Randomness

Stephen B. Vardeman & J. Marcus Jobe

This chapter is part of: Vardeman S. & Jobe J. 2023. Basic Engineering Data Collection and Analysis

Description
The theory of probability is the mathematician’s description of random variation. This chapter introduces enough probability to serve as a minimum background for making formal statistical inferences. The chapter begins with a discussion of discrete random variables and their distributions. It next turns to continuous random variables and then probability plotting. Next, the simultaneous modeling of several random variables and the notion of independence are considered. Finally, there is a look at random variables that arise as functions of several others, and how randomness of the input variables is translated to the output variable.

Description

The theory of probability is the mathematician’s description of random variation. This chapter introduces enough probability to serve as a minimum background for making formal statistical inferences. The chapter begins with a discussion of discrete random variables and their distributions. It next turns to continuous random variables and then probability plotting. Next, the simultaneous modeling of several random variables and the notion of independence are considered. Finally, there is a look at random variables that arise as functions of several others, and how randomness of the input variables is translated to the output variable.

Details

Published	Published By	Pages
Jan. 12, 2023	Iowa State University Digital Press	113
License Information
© 2001 Stephen B. Vardeman and J. Marcus Jobe. Basic Engineering Data Collection and Analysis is available under a Creative Commons Attribution NonCommercial ShareAlike (CC BY-NC-SA) 4.0 International license. You may share and adapt the material, so long as you provide appropriate credit to the original authors, do not use the material for commercial purposes, and any adaptations or remixes of the material which you create are distributed under the same license as the original.
Citation
Vardeman S. & Jobe J. 2023. Probability: The Mathematics of Randomness. In Vardeman S. & Jobe J. 2023. Basic Engineering Data Collection and Analysis