A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. (enter answer with no commas, i.e. as 1000 not 1,000.) InfectedNot InfectedTotalPositive Test[a][b][c]Negative Test[d][e][f]Total80099,200100,000i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ %ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %

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Description: A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out th

Given : Infected Not Infected Total Positive Test 800×0.88 =704 99200×0.13 = 12896 13600 Negative Test 800×0.12 =96 99200×0.87 = 86304 86400 Total 800 99200 100000 1. PInfected|Positive test =PInfected∩Positive TestP(Positive Test) PInfected|Positive test =70413600 PInfected|Positive test =0.0518 Person has the virus given that they have tested positive is 5.18%.2. PNot Infected | Negative test =PNot Infected∩Negative TestP(Negative Test) PNot Infected | Negative test =8630486400 PNot Infected | Negative test =0.9989 Person does not have the virus given that they test negative is 99.89%.

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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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A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below.

(enter answer with no commas, i.e. as 1000 not 1,000.)

	Infected	Not Infected	Total
Positive Test	[a]	[b]	[c]
Negative Test	[d]	[e]	[f]
Total	800	99,200	100,000

i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)
[g]_______ %
ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)
[h]________ %

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