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Consider two random variables X and Y . X can take the values 0, 1 and...

Consider two random variables X and Y . X can take the values 0, 1 and 2 andY cantakethevalues0and1. Youaretoldthat: P(X=0)=0.4,P(X=1)=0.2, P(Y =0|X=0)=0.4,P(Y =0|X=1)=0.2,P(Y =0|X=2)=0.3. Calculate P(Y =1),E(Y),Cov(X,Y),P(X=0|Y =0),P(Y =1|X+Y ≤2)
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