5 Tina is a traffic warden. The number of parking tickets she issues per day, from Monday to Saturday inclusive, may be modelled by a Poisson distribution with mean 11.5. By using suitable approximating distributions, find (i) the probability that on a particular Tuesday she issues at least 15 parking tickets (ii) the probability that during any week (excluding Sunday) she issues at least 50 parking tickets (iii) the probability that during four consecutive weeks she issues (a) at least 50 parking tickets each week (b) at least 200 parking tickets altogether. Account for the difference in the two answers.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.