ABSTRACT
In Sections 3.4.1 and 3.4.2, respectively, both discrete and continuous random variables were defined; however, it stands to reason that many random variables might be defined over the same sample space. In random variable example 1 on page 214, the random variable X was defined as the sum of the numbers from rolling two dice; furthermore, one might also wish to consider “the product of the numbers rolled with the two dice” or “the absolute value of the di↵erence between the numbers rolled with the two dice” as additional random variables that are defined on the same sample space. Another example might be the verbal (X) and quantitative (Y ) scores on a standardized test for incoming freshmen at a private college. In this section, a brief overview for both discrete and continuous pdfs and cdfs of jointly distributed random variables is provided as well as some important properties associated with jointly distributed random variables.
