The document discusses the Poisson distribution and finding the maximum likelihood estimator for P(Y=0). The Poisson distribution models the number of events occurring in a fixed interval of time or space if these events occur with a known average rate and independently of the time since the last event. The maximum likelihood estimator for P(Y=0), the probability of observing no events, is e^(-λ) where λ is the mean of the Poisson distribution.

1. Suppose that Y1,....,Yn denote a random sample from the Poisson distribution with mean .
d.) what is the maximum likelihood estimator for P(Y=0) = e-
thanks.
Solution
All of your answers are on the poisson distribution's wikipedia page.
http://en.wikipedia.org/wiki/Poisson_distribution