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The joint probability mass function of X and Y, p(x,y), is given by
P(1,1)=1/9
P(1,2)=1/9
P(1,3)=0
P(2,1)=1/3
P(2,2)=0
P(2,3)=1/6
P(3,1)=1/9
P(3,2)=1/18
P(3,3)=1/9
Compute E[X|Y=i] for i=1,2,3.
Are the random variables X and Y independent?
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Conclude that is there a difference in the two amounts?
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