Let XXX have PDF f(x)=6x(1−x)f(x) = 6x(1-x)f(x)=6x(1−x) for x∈[0,1]x \in [0, 1]x∈[0,1]. Find the variance Var(X)Var(X)Var(X).
1/10
1/20
1/5
1/12