Assume X and Y are two discrete random variables with P(X=i & Y=j)=.05 for i,j=1,2,3 and P(X=0 & Y=1)=.55 Calculate:
a) the expectation of X and Y,
b) the variance of X and Y,
c) the conditional expectation of X given Y=1
d) the conditional expectation of X given Y=2. Are X and Y independent?
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