Distribution using the Poisson Point Process model

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I need to use the Poisson Point Process (PPP) model to randomly distribute a set of 'objects'; over a given area: Let's say that we have N objects to distribute over an area that has been split equally into S subsections. How might I use PPP to decide whether or not a subsection r (where r ∈ S) contains an object t (where t ∈ N)?

Ideally if anyone has a pseudo code solution then let me know, but I would be grateful for any form of help.

If you need me to be more specific let me know.