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On a particular motorway bridge, breakdowns occur at a rate of 3.2 a week. Assuming that the number of breakdowns can be modelled by a

On a particular motorway bridge, breakdowns occur at a rate of 3.2 a week. Assuming that the number of breakdowns can be modelled by a Poisson distribution, find the probability that

(a) fewer than the mean number of breakdowns occur in a particular week

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