3. Let X be a random variable having the distribution as follows: fx (x; a, 0) = (x + 0 )a+1 10,00) (x) Let Y = In (4+8 ) a. Solve the following problems; i. Verify whether X and Y are one-to-one relationship. ii. Find dx dy iii. Find the domain of Y. b. From (a) obtained, state the probability density function of Y. c. Find the moment generating function of Y. d. Let a = 5 and 0 = 2, by using (c), find the mean and variance of X. e. Let V and X has the relationship and is defined as follows, x