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continuous distributions s2
(i) Give reasons why the proposed Poisson distribution might be a suitable model.
(ii) Calculate the probability of exactly two arrivals during a one-minute interval.
(iii) Calculate the probability of at least four arrivals during a five-minute interval.
(iv) Using a suitable approximating distribution, calculate the probability that there are more than 40 arrivals between 7 pm and 8 pm.