Poisson Distribution: In studying a rare disease, researchers notice that there is a 1 in 1000 chance of a person contracting the disease in a given year. If the researchers study a population of 10,000 (undiseased) people,
(a) What is mean number of of new diseases expected in the next year?
(b) What is the error (standard deviation) on this number?
(c) What is the chance that fewer than three people will contract the disease?