12. [-18.37 Points] WACKERLYSTAT7 3.5E.199. I MY NOTES | | ASK YOUR TEACHER l I PRACTICE ANOTHER Insulinidependent diabetes (IDD) is a common chronic disorder in children. The disease occurs most frequently in children of northern European descent, but the incidence ranges from a low of 172 cases per 100,000 per year to a high of more than 40 cases per 100,000 in parts of Finlandj Let us assume that a region in Europe has an incidence of 75 cases per 100,000 per year and that we randomly select 1,000 children from this region. (a) Can the distribution of the number of cases of IDD among those in the sample be approximated by a Poisson distribution? If so, what is the mean of the approximating Poisson distribution? 0 Yes, it can be approximated by a Poisson distribution with l = 0.75. O No, this is a binomial problem with n : 1,000 and p : 0.75/100,000. O No, this is a binomial problem with n : 1,000 and p : 75. 0 Yes, it can be approximated by a Poisson distribution with l : 750. (b) What is the probability that we will observe at least two cases of IDD among the 1,000 children in the sample? (Round your answer to three decimal places.) |:| You may need to use the appropriate appendix table or technology to answer this