1. (35 points) The frequencies of disease and exposure status are arranged in the following table. Exposure Disease status status D D X noo no1 no. X n10 n11 n1. n.o n.1 n.. Let p = P(D) and x = Ix be the exposure indicator. Consider a linear logistic regression model log{p/(1 - p)} = a + x, and express your answers to the following questions in terms of the n's. (a) Calculate the MLE and B. (10 pt.) (b) Treating the data as 2 binomial observations, one with x = 0 and one with x = 1, calculate the deviance of the fit. (5 pt.) (c) Treating the data as n.. Bernoulli observations, no. with x = 0 and n. with x = 1, calculate the deviance of the fit. (5 pt.) (d) Calculate the information matrix I(, B). (10 pt.) (e) Calculate the standard error of B. (5 pt.)