Let (X1, X2, ..., Xn) denote a random sample from the density function f(x|0) = -0" In(0) I(x > 0), where 0 E (0, 1) is an unknown parameter. Denote N, to be the number of observations among the sample elements which belong to the interval (j-1, j], j = 1, 2 and N3 = n-N1-N2. For confidentiality, only summaries of the sample are released to two analysts, such that Analyst A knows only (N1, N2, N3) and Analyst B knows only ( N1, N2 + N3).Q4. Based on the data released to Analyst B, (a) Write down an expression for the likelihood function of 0 (3 marks). (b) Find the Fisher information about 0 (3 marks). (c) Show that the MLE of 0 is both unbiased and efficient (6 marks)