q: I need help with question 13, the picture attached, please! tell me if the question is not clear.

13. Let (X 15, X2011, 2' = 1, . - - , n, be iid random vectors from a bivariate normal distribution with mean vector (#1, \"QT, variances of, 0% and covariance 012. (8.) Write down the likelihood function; (b) Derive the maximum likelihood estimates of the ve parameters, in, pg, of, 03, 012; ( C ) Discuss whether they are unbiased or not . Explain ! ( d ) Derive the Fisher information matrix contained in the sample with regard to the model parameters" ( e ) Carry out the following Monte Carlo simulation study . Take both means to be O . both variances to be 1 , and the covariance ( or correlation coefficient ) to bep . Then , with p = 0. 25, 0. 50, 0.75, carry out 1000 Monte Carlo simulations to determine the empirical mean and variance - covariance matrix of the MILES you found in Part. ( b ) . Also , compare this with empirical variance - covariance matrix of the MILE's with the inverse of the Fisher information matrix that you found in Part ( d ) , and comment