**Generalized linear models**

a) Let Y b bit y ma® unction 1(.6)=vV),0—OK where r is known. Show that the distribution belongs to the exponential family and hence find the mean sad VBSIBBOP of y.

b) Cns.’ r a 2 x 2 contingency table with one margin fixed at n, and n, binomial(n, ) (1 — u,binomial(n,,P,) _ P,(1

The conditional distribution of y, given = n d 71, (fluter = urFu.,) is..

Show that the conditional distribution of belongs to the .potential family of dis,distributions. Find the canonical parameter. Hence find the mean and the ValiSaCe of y1.

Let Y b bit y ma® unction 1(.6)=vV),0—OK where r is known. Show that the distribution belongs to the exponential family and hence find the mean sad VBSIBBOP of y.