In 2009, the CDC estimated that 1,100,000 of the 305,000,000 residents of the United States are HIV-positive. The RRIA diagnostic test correctly diagnoses the presences of AIDS/HIV 99.7% of the time, and correctly diagnoses its absence 98.5% of the time. • Find the probability that a perosn whose test results are negative actually has HIV • Which of the scenarios above is a false positive? Which is a false negative?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In 2009, the CDC estimated that 1,100,000 of the 305,000,000 residents of the United States
are HIV-positive. The RRIA diagnostic test correctly diagnoses the presences of AIDS/HIV
99.7% of the time, and correctly diagnoses its absence 98.5% of the time.

• Find the probability that a perosn whose test results are negative actually has HIV
• Which of the scenarios above is a false positive? Which is a false negative?

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