14. Let X1, ..., An be a sample from the probability distribution with density p1(x) = xle */1x>0, where 1 > 0 is an unknown parameter. (i) Determine the maximum likelihood estimator for 1. (ii) Determine an approximate confidence interval for 1 of confidence level 1 - a based on the maximum likelihood estimator. (iii) Compare this interval with the interval for 0 = 1/1 from the previous exercise