If XXX and YYY have correlation coefficient ρ(X,Y)=0.5\rho(X, Y) = 0.5ρ(X,Y)=0.5, what can we conclude?
XXX and YYY are independent
XXX and YYY have moderate positive correlation
Cov(X,Y)=0.5Cov(X, Y) = 0.5Cov(X,Y)=0.5
E[XY]=0.5E[XY] = 0.5E[XY]=0.5