Given the iid samples X1, X2,... of X, define the sequence Y1, Y2,... by

Note that each Yk is an example of V'2, an estimate of the variance of X using two samples, given in Theorem 7.11. Show that if E[Xk] n(Y) is a consistent, unbiased estimate of Var[X].
Theorem 7.11
The estimate

Is an unbiased estimate of Var[X].