There's a medical diagnostic test for a disease. If a person has the disease, the probability that the test gives a positive result is 0.95. If a person does not have a disease the probablilty of a negative result is 0.90. In the population 1% of people have the disease. What is the probability that a person tested has the disease, given the result is positive? Let T be the event of a positive test and D be the event of having the disease.