Mathematics, 10.11.2020 01:10, dimondqueen511

The prevalence of a certain disease is 0.09. A diagnostic test has been developed to test for the disease in question which returns a positive reading with probability 0.9 amongst those where it is known they have the disease and returns a negative result with probability 0.96 for those that are known not to have the disease. A person is suspected to have the disease, takes the test and the test comes back positive. What is the probability that they have the disease given that the test came back positive ?

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The prevalence of a certain disease is 0.09. A diagnostic test has been developed to test for the di...