5.79 Diabetes in Children Insulin-dependent diabetes (IDD) is a common chronic disorder of chil- dren. This disease occurs most frequently in persons of northern European descent, but the incidence ranges from a low of 1-2 cases per 100,000 per year to a high of more than 40 per 100,000 in parts of Finland. Let us assume that an area in Europe has an incidence of 5 cases per 100,000 per year. 13

a. Can the distribution of the number of cases of IDD in this area be approximated by a Poisson distribution? If so, what is the mean?

b. What is the probability that the number of cases of IDD in this area is less than or equal to 3 per 100,000?

c. 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?

d. Would you expect to observe 10 or more cases of IDD per 100,000 in this area in a given year? Why or why not?