please provide soluton

1. (a) Let {X 1, X2, . . , Xn} be a random sample from the probability density function: 21/92 fort) E: a: 5 B 0 otherwise nal?) = { where 9 :> 0 is a parameter. i. Derive the method of moments estimator of 6'. ii. Determine the bias of the estimator derived in part i. (b) Suppose that k balls are drawn at random with replacement from an urn containing 1:. balls, numbered 1 to 11.. Let X be the random variable which denotes the sum of the numbers drawn. Calculate E(X)- (c) In your own words (at most 200 words). discuss the relative advantages and disadvantages of method of moments estimators and maximum likelihood estimators