On page 378 of my book Advanced Java Game Programming, I explained how the probability of an enemy tank firing during a game loop update could be approximated by simply multiplying the firing rate with the reciprocal of the frame rate. As part of my recent computational neuroscience research into how to simulate the firing rate of a spiking neuron, I have acquired a more detailed understanding of the mathematics. Please see my slide presentation on the Poisson Distribution for both the exact formula and justification for the approximation.
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