23. E. coli Outbreaks An outbreak of E. coli infections in July of 2017 occurred in southwestern Utah, with a dozen people sick, and the confirmed deaths of two children. E. coli infections and outbreaks have been on the rise since 2009, reaching an incidence rate of 2.85 cases per 100,000 persons.9 Children under the age of five have a higher incidence rate—7.86 cases per 100,000. Using the rate of 2.85 cases per 100,000, evaluate the following probabilities.

a. What is the probability that at most two outbreaks per 100,000 are reported across the United States this year?

b. What is the probability that more than three outbreaks per 100,000 are reported across the United States this year?