TIFR ECE 2015 | Question: 8

Question

Let $X$ and $Y$ be two independent and identically distributed random variables. Let $Z=\max (X, Y)$ and $W=\min (X, Y)$. Which of the following is true?

• A. $Z$ and $W$ are independent
• B. $E(X Z)=E(Y W)$
• C. $E(X Y)=E(Z W)$
• D. $(a), (b)$, and $(c)$
• E. $(a)$ and $(b)$ only