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In a pandemic respiratory infectious disease caused by a virus A, the diagnostic test has been...

In a pandemic respiratory infectious disease caused by a virus A, the diagnostic test has been developed and carried out. Under this test when an individual actually has the disease with a positive result (true-positive test) occurs with the probability of 0.99, whereas an individual without the disease will show a positive test result (false-positive test) with the probability of 0.02. What is more, scientists have shown that 1 out of 1000 adults is confirmed positive and has this disease.
a) Draw a tree diagram to describe the above event.
b) Find the probability that the individual has the disease if a randomly selected individual is tested and the result is positive.
Math   Statistics-And-Probability   
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