Talk:Poisson limit theorem

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Example review

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 ${\displaystyle k}$ of points that will be placed in [0, 10]?

Intuitively, it will be most likely ${\displaystyle k=5}$, but other amounts are possible too, so the number ${\displaystyle k}$ 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 ${\displaystyle p_{n}(k)}$. "

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.

jmmut 131.111.184.26 (talk) 17:38, 1 October 2015 (UTC)