Suppose that X$1,...,$ Xn

iid$$ Exp$(\backslash$lambda $)$ for some $\backslash$lambda $>0.$

$1$

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

$($b$)$ Using the Fisher information, determine the asymptotic distribution of $\backslash$lambda $$mle$.$ Assume that regularity

conditions hold.