Any solution or hints are appreciated. Thanks!

8. Suppose that X17X2:-~:Xn are i.i.d observations with the p.d.f x; 9) : e_(m_9) , a: 2 6, zero elsewhere. [3] (a) Find the method of moments (MM) estimator for 6. [4] (b) Show that the MM estimator converges in probability to 6. [4] (c) Find the maximum likelihood estimator (MLE) of 6. [5] (d) (i) Is the MLE an unbiased estimator of 6? Justify your reasoning. (ii) Show that the MLE converges in probability to [9