A laboratory blood test is $99 \%$ effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for $0.5 \%$ of the healthy person tested (that is, if a healthy person is tested, then, with probability $0.005$, the test will imply he has the disease). If $0.1$ percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?

Home » A laboratory blood test is effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for of the healthy person tested (that is, if a healthy person is tested, then, with probability , the test will imply he has the disease). If percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?

A laboratory blood test is $99 \%$ effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for $0.5 \%$ of the healthy person tested (that is, if a healthy person is tested, then, with probability $0.005$ , the test will imply he has the disease). If $0.1$ percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?

A laboratory blood test is $99 \%$ effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for $0.5 \%$ of the healthy person tested (that is, if a healthy person is tested, then, with probability $0.005$ , the test will imply he has the disease). If $0.1$ percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?

As per the given question,