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(a) What is the probability that a person who has the alpha-gene receives at least one negative result out of their two tests? 0.1164 O (b) Many people on the island of Genosha have taken the test twice. It is discovered that 2% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the alpha-gene? 0.01996 (c) Chloe lives on Genosha. They took the test twice and received different results. What is the probability that Chloe has the alpha-gene?

(a) What is the probability that a person who has the alpha-gene receives at least one negative result out of their two tests? 0.1164 O (b) Many people on the island of Genosha have taken the test twice. It is discovered that 2% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the alpha-gene? 0.01996 (c) Chloe lives on Genosha. They took the test twice and received different results. What is the probability that Chloe has the alpha-gene?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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It has recently been discovered that a small number of people have a genetic mutation that gives them latent superpowers, known as the alpha-gene. A laboratory test has been created to help identify people with the alpha- gene, which returns either "positive" (indicating the subject has the alpha-gene) or "negative" (indicating the subject does not have the alpha-gene). The test returns a "true positive" result for 94% of people who do in fact have the alpha-gene. However, the test also returns a "false positive" result for 4% of people who do not have the alpha-gene. Anyone who is suspected of having the alpha-gene must take the test exactly twice. (a) What is the probability that a person who has the alpha-gene receives at least one negative result out of their two tests? 0.1164 (b) Many people on the island of Genosha have taken the test twice. It is discovered that 2% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the alpha-gene? 0.01996 & P 0.5949 ⓇÀ P (c) Chloe lives on Genosha. They took the test twice and received different results. What is the probability that Chloe has the alpha-gene? ◎酒团
Transcribed Image Text:It has recently been discovered that a small number of people have a genetic mutation that gives them latent superpowers, known as the alpha-gene. A laboratory test has been created to help identify people with the alpha- gene, which returns either "positive" (indicating the subject has the alpha-gene) or "negative" (indicating the subject does not have the alpha-gene). The test returns a "true positive" result for 94% of people who do in fact have the alpha-gene. However, the test also returns a "false positive" result for 4% of people who do not have the alpha-gene. Anyone who is suspected of having the alpha-gene must take the test exactly twice. (a) What is the probability that a person who has the alpha-gene receives at least one negative result out of their two tests? 0.1164 (b) Many people on the island of Genosha have taken the test twice. It is discovered that 2% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the alpha-gene? 0.01996 & P 0.5949 ⓇÀ P (c) Chloe lives on Genosha. They took the test twice and received different results. What is the probability that Chloe has the alpha-gene? ◎酒团
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