A new test is designed to find a particular gene that makes people immune to a fictitious disease. The test finds the gene with a probability of 0.85, and the probability of a false positive is 0.28 if the person does not have the gene. Before the test is done, the researchers believe that the probability of the presence of that particular gene in the population is 0.46.
Using Bayes' rule, revise the value of the probability of the gene being present in a particular person given that the test gives a positive signal.