# Math Help - Poisson distribution and asymptotic normal distribution.

1. ## Poisson distribution and asymptotic normal distribution.

Can you help me to solve this exercises ?

Using theorems about convergence in probability and continuity at functions, to solve:

Let a random sample from Poisson distribution Xi - Poi (µ)

a)To show that Yn=exp(-Xn) --p--> exp(-µ) = P(X=0) , with Xn = sampler median and --p--> convergence in probability
b)To find the asymptotic normal distribution of Yn=exp(-Xn)
c) To show that X´n exp(-Xn) --p--> µexp(-µ)= P(X=1)

Thank you