2. Suppose a random variable U ~ unif(0, 1). (c) Next, consider another set of independent random variables Y1, ..., Ym, where each Y; is related to U; through Y= -0In Ui, where U; ~ unif(0, 1) and 0 > 0. ii. Write down the log-likelihood function from the random variables Y1, . . ., Yn. iii. Hence, derive the maximum likelihood estimator of 0. iv. Show that the above maximum likelihood estimator of 0 is a minimum vari- ance unbiased estimator (MVUE)