Solution Found!
An article in the Los Angeles Times (Dec. 3, 1993) reports
Chapter 4, Problem 83E(choose chapter or problem)
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.?? t least 8 carry the gene.
Questions & Answers
QUESTION:
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.?? t least 8 carry the gene.
ANSWER:Problem 83E Answer: Step1: We have 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, 1 That is n = 1000, p = 200 = 0.005 And q = 1 - p = 1 - 0.005 = 0.995 We need to find, 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. Step2: Consider a random variable “X” it follows normal distribution with mean “np” and variance “npq”. A probability density function of 2ormal distribution