BinomialPoisson Connection Find out Google Siri what is the

Binomial-Poisson Connection: Find out (Google, Siri) what is the area of Tennessee and the area of the USA (all 50 states). Assume that 100 meteorites will hit the US next year. What is the probability that at least one hits the State of Tennessee? (Use the area data and the binomial distribution to figure this). Now use a Poisson approximation to find the approximate probability that at most 3 of the 100 meteorites hit Tennessee. Use the binomial distribution to find the exact answer to Part b. Barbour and Hall proved in 1984 that the error made, when using a Poisson approximation to a binomial probability, is no more than p. By comparing the answers to b and c, verify that this is true.

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