Conditional Probabilityhard
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In a town, 10% of the population are carriers of a rare gene. A diagnostic test for the gene has a 95% true positive rate and a 4% false positive rate. If a person tests positive twice independently, what is the posterior probability that they are a carrier?
In a town, 10% of the population are carriers of a rare gene. A diagnostic test for the gene has a 95% true positive rate and a 4% false positive rate. If a person tests positive twice independently, what is the posterior probability that they are a carrier?