In a certain year, it was estimated that 1,000,000 of the 284,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.) (a) Find the probability that a person whose test results are positive actually has HIV. (b) Find the probability that a person whose test results are negative does not have HIV. (c) Find the probability that a person whose test results are positive does not have HIV.
In a certain year, it was estimated that 1,000,000 of the 284,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.) (a) Find the probability that a person whose test results are positive actually has HIV. (b) Find the probability that a person whose test results are negative does not have HIV. (c) Find the probability that a person whose test results are positive does not have HIV.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 6SC
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In a certain year, it was estimated that 1,000,000 of the 284,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.)
(a) Find the probability that a person whose test results are positive actually has HIV.
(b) Find the probability that a person whose test results are negative does not have HIV.
(c) Find the probability that a person whose test results are positive does not have HIV.
(d) Find the probability that a person whose test results are negative actually has HIV.
(b) Find the probability that a person whose test results are negative does not have HIV.
(c) Find the probability that a person whose test results are positive does not have HIV.
(d) Find the probability that a person whose test results are negative actually has HIV.
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