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Answers (3)
E[Y|X=x] = -2x E[Y] = 0 Cov(X,Y)= -2 E[X∣Y=y]=-2y/5 Var(X∣Y=y)=1/5
E[Y|X=x] = -2x E[Y] = 0 Cov(X,Y)= -2 E[X∣Y=y]=-y/2 Var(X∣Y=y)=1/4
1) 2/(r + j) 2) (r / (r + j))^2 3) (r*j/2)*e^(-r-j)