It has recently been discovered that a small number of people have a genetic mutation that gives them latent superpowers, known as the alpha-gene. A laboratory test has been created to help identify people with the alpha-gene, which returns either "positive" (indicating the subject has the alpha-gene) or "negative" (indicating the subject does not have the alpha-gene). The test returns a "true positive" result for 97% of people who do in fact have the alpha-gene. However, the test also returns a \"false positive" result for 10% of people who do not have the alpha-gene. Anyone who is suspected of having the alpha-gene must take the test exactly twice. (a) What is the probability that a person who has the alpha-gene receives at least one positive result out of their two tests? 0.9991 0 a |j (b) Many people on the island of Genosha have taken the test twice. It is discovered that 8% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the alpha-gene? (c) Chloe lives on Genosha. They took the test twice and received different results. What is the probability that Chloe has the alpha-gene