Given XXX has PDF f(x)=2(1−x)f(x) = 2(1-x)f(x)=2(1−x) for x∈[0,1]x \in [0, 1]x∈[0,1]. What is the variance Var(X)Var(X)Var(X)?
1/181/181/18
1/61/61/6
1/121/121/12
1/361/361/36