$X$, $Y$ and $Z$ are three random variables where their pairwise correlations are the same, i.e., $corr(X,Y)=corr(Y,Z)=corr(X,Z)=\rho$ what are the possible values of $\rho$? I was asked this in an interview (data analyst).
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Christoph Hanck
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2Duplicate of Bound for the correlation of three random variables. – Dilip Sarwate Mar 01 '15 at 14:16