MATH SOLVE

6 months ago

Q:
# The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease and 97% accurate for a person who does not have the disease. In a given population, 3.5% of the people actually have the disorder. The probability that a randomly chosen person tests negative is .

Accepted Solution

A:

Answer:Probability that a person has disease r and it is accurate result =98%Probability that a person has disease and it is accurate result =(100-98)=2%Probability that a person doesn't has disease and is accurate result = 97%Probability that a person doesn't has disease and is Inaccurate result = (100-97)=3%As, it is given that 3.5% of population has disorder.Probability that a randomly chosen person tests negative out of 3.5% who are affected =Affected population × Probability that he is found negative that is doesn't have liver disorder [tex]\frac{3.5}{100}\times \frac{2}{100}=\frac{7}{10000}=0.0007[/tex]=0.07%