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An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2500 individuals, what is

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An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2500 individuals, what is the approximate distribution of the number who carry this gene? We can approximate this distribution by the Poisson distribution with u = C] / (a) Use the Poisson approximation to calculate the approximate probability that between 6 and 11 (inclusive) carry the gene. (Round your answer to three decimal places.) x (b) Use the Poisson approximation to calculate the approximate probability that at least 11 carry the gene. (Round your answer to three decimal places.) _x You may need to use the appropriate table in the Appendix of Tables to answer this

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