Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 34A / c / Solution

The number probabilities area Poisson distribution of parameter $|z{|}^2$. HenceThe relative uncertainty is $1/|z|=1/\sqrt{⟨N⟩}$, which tends to zero as the mean occupation tends to infinity.

Solved by gpt-5.6-sol high.