In a certain year, it was estimated that 1,000,000 of the 307,000,000 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 307,000,000 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.
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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In a certain year, it was estimated that 1,000,000 of the 307,000,000 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.
(e) Which of the probabilities would you be interested in if you or someone close to you tested positive?
(f) Which of theseevents is a false positive?
Which is a false negative?
(g) Discuss the usefulness of this diagnostic test.
(h) It has been proposed that all immigrants to the United States should be tested for HIV before being allowed into the country. Discuss this proposal.
(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.
(e) Which of the probabilities would you be interested in if you or someone close to you tested positive?
the probability that a person whose test results are positive actually has HIVthe probability that a person whose test results are negative does not have HIV the probability that a person whose test results are negative actually has HIV
(f) Which of these
the probability that a person whose test results are negative does not have HIVthe probability that a person whose test results are negative actually has HIV the probability that a person whose test results are positive does not have HIVthe probability that a person whose test results are positive actually has HIV
Which is a false negative?
the probability that a person whose test results are positive actually has HIVthe probability that a person whose test results are negative actually has HIV the probability that a person whose test results are negative does not have HIVthe probability that a person whose test results are positive does not have HIV
(g) Discuss the usefulness of this diagnostic test.
(h) It has been proposed that all immigrants to the United States should be tested for HIV before being allowed into the country. Discuss this proposal.
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