Please provide a step-by-step solution so that I can use them to teach myself how to solve the problem.

#2 STATS HW 8 2. Suppose that a random sample (X], Y]), .... (Xn, Ym ) satisfies Y = BX: + et 61, mi En are i.i. d. N(0,67 ) where o' is unknown. a. Find the MLE of B. b. Show that the MLE of B is unbiased. C. Show that )'=, Y/ Etz X; and Et-, (1: /X) are also unbiased estimators of f. d. Calculate the variances of the three estimators of B, given the sample X], .. . Xx