Let X be a continuous r.v. whose p.d.f., for > 0, is given by (a) Find the MLE for the parameter . (b) Find

Let X be a continuous r.v. whose p.d.f., for λ > 0, is given by

(a) Find the MLE for the parameter λ.

(b) Find an estimator for λ by the method of moments. (Hint: First compute E(X).)

fix^-1 if 0 < x < 1 otherwise. f(x;)= 0