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Traffic accidents at a particular intersection in Bolingbrook follow a Poisson distribution with an average rate of 1.4 per week. (a) Find the exact calculation

Traffic accidents at a particular intersection in Bolingbrook follow a Poisson distribution with an average rate of 1.4 per week.

(a) Find the exact calculation using the Poisson distribution for the probability that there would be exactly 70 accidents at this intersection in one year (i.e., 52 weeks).

(b) Find an approximation using the Normal distribution for the probability that there would be exactly 70 accidents at this intersection in one year (i.e., 52 weeks).

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