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Having done a Google, I wasn't able to find much information relating specifically to Poisson statistics and photon detections.

I was wondering why photon detection experiments are calculated using Poisson statistics?

(So for example, would Poisson distribution calculations be applied to Bell inequality tests etc.?)

What assumptions, if any, are made in relation to the calculations, for when you calculate the Poisson confidence intervals for photon experiments?

Any assistance would be much appreciated,

Stevie