Minimum and maximum bound on mean of product of three pairwise uncorrelated random variables

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There are three pairwise uncorrelated random variables $X, Y, Z$

$$E(X) = E(Y) = E(Z) = 0$$

$$E(X^2) = E(Y^2) = E(Z^2) = \sigma^2$$

How we could find minimum and maximum bound on $E(XYZ)$?

I have thougth to play with covariance but I stuck at repeating similiar actions with no effort and have no idea what to do.