Let XXX have PDF f(x)=kx(2−x)f(x) = kx(2-x)f(x)=kx(2−x) for 0≤x≤20 \le x \le 20≤x≤2. Find Var(X)Var(X)Var(X).
12\frac{1}{2}21
13\frac{1}{3}31
15\frac{1}{5}51
23\frac{2}{3}32