Abstract
The joint distribution of a pair of random variables X and Y is the probability distribution over the plane defined by $$P\left( B \right) = P\left( {\left( {X,Y} \right) \in B} \right)$$ for subsets B of the plane. So P(B) is the probability that the random pair (X, Y) falls in the set B. Joint distributions for discrete random variables were considered in Section 3.1. This chapter shows how these ideas for discrete random variables are extended to two or more continuously distributed random variables with sums replaced by integrals.
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