Let [math]X[/math] and [math]Y[/math] be independent random variables with uniform density functions on [math][0,1][/math]. Find

• [math]E(|X - Y|)[/math].
• [math]E(\max(X,Y))[/math].
• [math]E(\min(X,Y))[/math].
• [math]E(X^2 + Y^2)[/math].
• [math]E((X + Y)^2)[/math].