5.48 E. coli Outbreak Increased research and discussion have focused on the number of illnesses involving the organism Escherichia coli (01257:H7), which causes a breakdown of red blood cells and intestinal hemorrhages in its victims. Suppose that sporadic outbreaks of E. coli have occurred in Alberta at a rate of 2.5 per 100,000 for a period of two years. Let us suppose that this rate has not changed.

a. What is the probability that at most five cases of E. coli per 100,000 are reported in Alberta in a given year?

b. What is the probability that more than five cases of E. coli per 100,000 are reported in a given year?

c. Approximately 95% of occurrences of E. coli involve at most how many cases?