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The following might help, although whether it's simpler than calculating the variances will depend on the particular functions. Suppose the two distributions are of random variables $x_1$ and $x_2$. First find the respective means $\mu_1$ and $\mu_2$. Then replace $x_1$ by $y_1=x_1-\mu_1$ and $x_2$ by $y_2=x_2-\mu_2$, with the effect of shifting the ...


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