(i) Find the Fisher information matrix

(ii) Construct 95% confidence intervals for ?1 and ?2.

4. A small survey of 100 families with three members shows that there are 35, 20, 15, 30 families with x persons proportion of x persons (x=0, 1, 2, 3, 4 respectively) getting an infectious disease. Model P(X = x|61,02) = p(x|61, 62),x = 0,1,2,3 p(0I91,92) = P(X = (\"91,92) = 91, p(1I91,92) =P(X =1|91,92)= 6'2 p(2|91,92) =P(X =1|91,92)=1-29192, P(3|91,92) = P(X = 2|91,92) = 6'1