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Random variables X and Y assume values 1, 2 and 3. Their joint probability distribution is...

Random variables X and Y assume values 1, 2 and 3.
Their joint probability distribution is given as follows:
P(X=Y=1) = min( 0.39, 0.19 ) ,
P(X=Y=2) = min( 0.19, 0.42 ) and  
P(X=Y=3) = min( 0.42 0.39, ), ....
Their marginal probability distributions are as follows:
P(X=1) = 0.39, P(Y=1) = 0.19,   
P(X=2) = 0.19, P(Y=2) = 0.42,
P(X=3) = 0.42 and PY=3) = 0.39,   
Calculate the variance of the sum (X + Y)

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