Problem 3.1. Consider a statistical model for HD random variables X1, . . . ,Xn, parameterized by 9 E B. The distribution of X1 has probability density function f3 satisfying 1 fats) : fudgemm for all a: > D, 9 and RC???) : 0 for all a: g 0. Here, Z3 : 00 m2eW9 dm is the \"normalization constant\" that ensures the probability density function integrates to one. The parameter space is the positive reals E) : {9 E R : 6 > U}. Derive a simple formula for the MLE for 6 (given data (X 1, . . . ,Xn) : (3:1, . . . ,zan, and briey justify each step of the derivation