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The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate for a person who does not have the virus. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is .

Respuesta :

[tex]\textrm{97 percent accurate for individual with the virus}[/tex]

[tex]\text{3 percent inaccurate}[/tex]

[tex]\textrm{99 percent accurate for an individual}[/tex]

[tex]\textrm{1 percent inaccurate probability}[/tex]

[tex]\textrm{Probability of infected:}[/tex]

[tex].0055[/tex]

[tex]\textrm{Probability of not being infected}[/tex]

[tex]1 - .0055 = .9945[/tex]

[tex]\textrm{Combine it all together}[/tex]

[tex]0.0055 * 0.03 + 0.9945 * 0.01 = 0.01011[/tex]

[tex]\textrm{The probability that a randomly chosen person gets an incorrect result is 0.01011}[/tex]

[tex]\textbf{Answer}[/tex]

[tex]\textrm{0.01011}[/tex]

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