A blood sample correctly identifies a disease 95% of the time when the disease is actually...
A blood sample correctly identifies a disease 95% of the time when the disease is actually present. The same test gives false positives 0.5% of the time. One percent of the population actually have the disease. If you test positive what are the chances you have the disease?
Homework Answers
ANSWER:
Given that,
Let D shows the event that person has disease and 
shows the event that person dont have disease. Let P shows the
event that test indicates the presence of disease and N shows the
event that test dont indicate the presence of disease. So we
have
and
By the complement rule we have
By the law of total probability the probability that the test indicates the absence of the disease is
By the baye's theorem, the probability that a person does not have the disease and the test indicates the absence of the disease is
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