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E. Coli outbreak. Outbreaks of E. coli have occurred at a rate of 2.5 per 100,000. Assume this rate represents the mean for the number of outbreaks (as a Poisson random variable).
a. What is the probability that at most five cases of E. coli per 100,000 are reported in California this year?
b. What is the probability that more than five cases of E. coli are reported in California this year?
c. Approximately 95% of occurrences of E. coli involve at most how many cases?