Variance of Minimum and Maximum of 2 iid Normal – stats.stackexchange.com

Let $X$ and $Y$ be iid $\sim Normal(0,1)$ Let $A=max(X,Y)$ and $B=min(X,Y)$ What are $Var(A)$ and $Var(B)$? From simulation, I get $Var(A)=Var(B)$ approximately 0.70. How do I get this ...

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