An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individ
uals, what is the approximate distribution of the number who carry this gene? We can approximate this distribution by the Poisson distribution with μ = . (a) Use the Poisson approximation to calculate the approximate probability that between 4 and 9 (inclusive) carry the gene. (Round your answer to three decimal places.) (b) Use the Poisson approximation to calculate the approximate probability that at least 9 carry the gene. (Round your answer to three decimal places.)