Jointly Distributed Random Variables

We can now deal with more than one Random Variable since this is more interesting and more often what we are interested in.

What must be established in order to be able to deal with two Random Variables jointly?

Define the Joint Probability Mass Functions
and explain the shorthand

For two Random Variables the values that each one (X, Y) can take is describes by

p(x,y) where p(x,y) = P(X=x, Y=y) intersection of X,Y

and must be legitimate meaning probabilities >= 0 and sum to 1

Calculating Probabilities with Joint PMFs

Identifiying the values of X,Y in set A and then which pairs are in A = (x,y) for the given pmf

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