Consider a random sample from a poission ditribution, Xi~POI(u).
a) Show that Yn=e^(-Xnbar)converges stochastically to P[X=0]=e^-u.
b) Find the assymptotic normal distribution of Yn.
c) Show that Xnbar exp(-Xnbar) converges stochastically to P[X=1]=ue^(-u).