It has recently been discovered that a small number of people have a genetic mutation that gives them latent superpowers, known as the omega-gene. A laboratory test has been created to help identify people with the omega- gene, which returns either "positive" (indicating the subject has the omega-gene) or "negative" (indicating the subject does not have the omega-gene). The test returns a "true positive" result for 98% of people who do in fact have the omega-gene. However, the test also returns a "false positive" result for 6% of people who do not have the omega-gene. Anyone who is suspected of having the omega-gene must take the test exactly twice. (a) What is the probability that a person who does not have the omega-gene receives at least one negative result out of their two tests? 0.0199 因 (b) Many people on the island of Genosha have taken the test twice. It is discovered that 5% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the omega-gene?

It has recently been discovered that a small number of people have a genetic mutation that gives them latent superpowers, known as the omega-gene. A laboratory test has been created to help identify people with the omega- gene, which returns either "positive" (indicating the subject has the omega-gene) or "negative" (indicating the subject does not have the omega-gene). The test returns a "true positive" result for 98% of people who do in fact have the omega-gene. However, the test also returns a "false positive" result for 6% of people who do not have the omega-gene. Anyone who is suspected of having the omega-gene must take the test exactly twice. (a) What is the probability that a person who does not have the omega-gene receives at least one negative result out of their two tests? 0.0199 因 (b) Many people on the island of Genosha have taken the test twice. It is discovered that 5% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the omega-gene?

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Description: It has recently been discovered that a small number of people have a genetic mutation that gives them latentsuperpowers, known as the omega-gene. A laboratory test has been created to help identify people with the omega-gene, which returns either "p

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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