i.i.d. estimation of variance

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Let ${X_i}$ for $i\in N$ be a string i.i.d. with a known expected value of $\mu = E (X_1)$. Investigate the properties the estimator of the variance given by the formula : $\frac{1}{n} \sum(X_i ^2 - \mu ^2)$ (sum from 1 to n). Have you got some hints?