Suppose that $x_1,$dots,$x_n{}^{\text{i}\text{i}\text{d}}$Exp$()$ for some $>0.{?}^1$

$($a$)$ Compute the Fisher information $I()$ for this model.

$($b$)$ Using the Fisher information, determine the asymptotic distribution of hat$({)}_{\text{m}\text{l}\text{e}}.$ Assume that regularity

conditions hold.