Let X and Y are independent random variable follow Normal (0,1) then E [Max (X, Y) +Min (X, Y)] ^2 is:

Let X and Y are independent random variable follow Normal (0,1) then E [Max (X, Y) +Min (X, Y)] ^2 is:

Solution: Max(X, Y) + Min(X,Y)= X+Y

so, E [Max (X, Y) +Min (X, Y)] ^2 = E[ X+ Y]^2 =2