It is thought that 1 in 100 people in a population carry a specific defective gene. A sample of 200 people in this population are screened for this defect. Adopting (i) a binomial model, and (ii) a Poisson model, estimate the most probable number(s) of people found to have this defect in this sample, and evaluate the probability of this happening.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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It is thought that 1 in 100 people in a population carry a specific defective gene. A sample
of 200 people in this population are screened for this defect. Adopting (i) a binomial
model, and (ii) a Poisson model, estimate the most probable number(s) of people found
to have this defect in this sample, and evaluate the probability of this happening.
Transcribed Image Text:It is thought that 1 in 100 people in a population carry a specific defective gene. A sample of 200 people in this population are screened for this defect. Adopting (i) a binomial model, and (ii) a Poisson model, estimate the most probable number(s) of people found to have this defect in this sample, and evaluate the probability of this happening.
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