Let XXX have PDF f(x)=12sin(x)f(x) = \frac{1}{2} \sin(x)f(x)=21sin(x) for 0≤x≤π0 \le x \le \pi0≤x≤π. Calculate Var(X)Var(X)Var(X).
π2/4−2\pi^2/4 - 2π2/4−2
π2−8\pi^2 - 8π2−8
π2/4\pi^2/4π2/4
111