# Normal approximation to Poisson Distribution

Is the Normal approximation to Poisson Distribution a result of the Central limit theorem

### Re: Normal approximation to Poisson Distribution

When repeating many times the same request, the probability to get an answer has a Poisson distribution of mean T. On the other hand, the probability to be banned from the forum has also a Poisson distribution of mean S. So, what is the probability to get an answer before being banned, as a function of S and T?