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Published in:
2017 | OriginalPaper | Chapter
4. Joint Probability Distributions and Their Applications
Authors : Matthew A. Carlton, Jay L. Devore
Published in: Probability with Applications in Engineering, Science, and Technology
Publisher: Springer International Publishing
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Abstract
In Chaps. 2 and 3, we studied probability models for a single random variable. Many problems in probability and statistics lead to models involving several random variables simultaneously. For example, we might consider randomly selecting a college student and defining X = the student’s high school GPA and Y = the student’s college GPA. In this chapter, we first discuss probability models for the joint behavior of several random variables, putting special emphasis on the case in which the variables are independent of each other. We then study expected values of functions of several random variables, including covariance and correlation as measures of the degree of association between two variables.