Please answer the following question and show step by step.

The full Poisson Distribution is a bit tricky to deal with, so in lab we'll start off just by examining a particular aspect of it. If one computes the mean and standard deviation for the Poisson Distribution, one nds that: #:02 This will be the physical model we'll want to test in lab. If it holds true, we'll conclude the behavior of ionizing radiation is consistent with a Poisson distribution. This isn't sufcient for it to be a Poisson distribution, but it's a necessary condition. This relation has an interesting effect given that we know the uncertainty in the mean obeys: _ 6p, JN Imagine you know that the average number of reactions detected per second is approximately 25 and you are willing to assume the Poisson distribution is valid. About how many measurements would you need to get the uncertainty down to less than 1 detection per second? What if the average was more like 100