A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who ha

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A new medical test has been designed to detect the presence of
the mysterious Brainlesserian disease. Among those who have the
disease, the probability that the disease will be detected by the
new test is 0.7. However, the probability that the test will
erroneously indicate the presence of the disease in those who do
not actually have it is 0.04. It is estimated that 10% of the
population who take this test have the disease.If the test
administered to an individual is positive, what is the probability
that the person actually has the disease?