Question: It was reported in 1993 that 1 in 200 carry the defective gene that causes inherited colon cancer. For a random sample of 1000 individuals,

It was reported in 1993 that 1 in 200 carry the defective gene that causes inherited colon cancer. For a random sample of 1000 individuals, what is the distribution of the number of individuals who carry the gene? Compute the probability that 4 to 10 (inclusive) individuals out of the 1000 selected carry the gene and the probability that at least 6 carry the gene.

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