Problem 2: Suppose that X₁, X₂, ..., X, are i.i.d. with density function f(x|0) = e(x-0), x ≥0 and f(x10) = 0 otherwise. a) Find the method of moments estimator of

0. b) Find the MLE of 0. (Hint: Be careful, and don't differentiate before thinking. For what values of 0 is the likelihood positive?)