QUESTION: Events which occur randomly at rate r are counted over a time period of length s so the event count X is Poisson. Find P(X = 2), P(X < 2) and P(X > 2) when (a) r = 0.8, s = 1; (b) r = 0.1, s = 8; (c) r = 0.01, s = 200; (d) r = 0.05, s = 200.

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