An outbreak of E. coli infections in August of 2010 occurred in three Washington state day care centers. There were eight confirmed and six suspected cases of E. coli, with over 70 children awaiting test results.5 Outbreaks of E. coli infections for 2009 are reported to be less than 1 per 100,000, down from 2.5 per 100,000 reported earlier.6 Using the rate of 1 per 100,000, find 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?