please do QUESTION 7 ONLY which is based on QUESTION 1

7. Consider the geometric distribution given in Problem 1. (i)Find the Fisher information of this statistical model. Suppose a sample of n independent observations are to be taken and the maximum likelihood estimator will be used to estimate the unknown parameter 19. (ii) Find the asymptotic variance of the MLE and give a 95% confidence interval of 10 approximately for large n. 1. Suppose that X is a discrete random variable following a geometric distribution, P(X = k) = p(1 - p)