Question 2. Consider a random sample X1, ...Xn from a distribution with pdf 0.5(1 +0x) if -1

Question 2. Consider a random sample Xl, Xn 0.5(1 + from a distribution with pdf if (a) Show that = 3nl is an unbiased estimator for 9. (b) Show that the estimator in part (a) is the method of moment estimator for 6. (c) Obtain the standard error SE(). Compute an estimate S() of the standard error based on the data provided in sample. tit.