Conditional expectation of maximum given minimum of order statistics

Sergey

New Member
Let we have $X_1 ... X_n$ - iid random variables with $F(x)$ - distribution function.
So we have $X1:n$ and $Xn:n$ - minimum and maximum.
Help me please with counting conditional expectation $E(Xn:n|X1:n=x$) in terms of $F(x)$ ?