Question: (a) If X and Y are independent random variables, \(\operatorname{var}\left( X \right)=4\), and \(\operatorname{var}\left( Y \right)=3\), find \(\operatorname{var}\left( -X-2Y+3 \right)\).

(4 points) (b) Show that \(E\left[ {{\left( X-\mu \right)}^{2}} \right]=E\left( {{X}^{2}} \right)-{{\mu }^{2}}\), where µ:= E[X].