Let 1,2,...,constitute a random sample froma distribution with pdf given by (;)={(22)(),00,elsewhere.a)Find an estimator for by using the method of moments. b)Determine whetherthis estimator is a sufficient statistic for .

8. Let X1, X2, . . . , X constitute a random sample from a distribution with pdf given by 2 x; a) = FEW'0' 0 5x 3 a E}, elsewhere. a) Find an estimator for H by using the method of moments. b) Determine whether this estimator is a sufcient statistic for H