Talk:Poisson limit theorem
|WikiProject Statistics||(Rated Start-class, Low-importance)|
It's been a little hard for me to understand why this example is an application of the theorem, so I thought I could suggest an extra sentence explaining a intermediate step of reasoning for the not-so-much-into-the-field people like me. Something like:
" Suppose that in an interval [0, 1000], 500 points are placed randomly. Now what is the number of points that will be placed in [0, 10]?
Intuitively, it will be most likely , but other amounts are possible too, so the number should be instead a distribution. More correctly phrased, the probabilistically precise way of describing the number of points in the sub-interval would be to describe it as a binomial distribution . "
As I'm not sure whether it is worth to include such an impreciseness, I'm writing this in the talk page, asking for approval/rejection. But I think the implicit idea (expressed like this or in a better way) would be indeed useful.