[Exer8-2] Exercise 77 of Book {Devore2017B} P.137
An article in the Los Angeles Times (Dec. 3, 1993) reports that $1$ in $200$ people carry the defective gene that causes inherited colon cancer. In a sample of $1000$ individuals, what is the approximate distribution of the number who carry this gene? Use this distribution to calculate the approximate probability that
- (a) Between $5$ and $8$ (inclusive) carry the gene.
- (b) At least $8$ carry the gene.