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# An article in the Los Angeles Times (Dec. 3, 1993) reports ISBN: 9780321629111 32

## Solution for problem 83E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 83E

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.

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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 is given by 1 2(npq)) f(x/np,npq) = 2(npq)e , Where, np = mean of the normal distribution npq = variance of the normal distribution npq = standard deviation of the normal distribution. a). Consider, Mean = np = 1000×0.005 = 5 Variance = npq = 1000×0.005×0.995 = 4.975 Standard deviation = npq = 1000 × 0.005 × 0.995 = 2.2305 Now, P(Between...

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##### ISBN: 9780321629111

The full step-by-step solution to problem: 83E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. Since the solution to 83E from 3 chapter was answered, more than 419 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. The answer to “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.” is broken down into a number of easy to follow steps, and 68 words. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This full solution covers the following key subjects: gene, carry, approximate, distribution, Angeles. This expansive textbook survival guide covers 18 chapters, and 1582 solutions.

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