To show that an estimator can be consistent with-out being unbiased or even asymptotically unbiased, consider the following estimation procedure: To estimate the mean of a population with the finite variance σ², we first take a random sample of size n. Then we randomly draw one of n slips of paper numbered from 1 through n, and if the number we draw is 2, 3, . . ., or n, we use as our estimator the mean of the random sample; otherwise, we use the estimate n². Show that this estimation procedure is 

(a) Consistent; 

(b) Neither unbiased nor asymptotically unbiased.