Insulin-dependent diabetes (IDD) is a common chronic disorder of children. This disease occurs most frequently in persons of northern European descent. Let us assume that an area in Europe has an incidence of 6 cases per 100,000 per year.

Can the distribution of the number of cases of IDD in this area be approximated by a Poisson distribution?

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What is the mean?

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What is the probability that the number of cases of IDD in this area is less than or equal to 3 per 100,000? Round your answer to three decimal places.

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What is the probability that the number of cases is greater than or equal to 3 but less than or equal to 7 per 100,000? Round your answer to three decimal places.

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Would you expect to observe 15 or more cases of IDD per 100,000 in this area in a given year?

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Why or why not?

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