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A rare nonlethal disease (ND) that develops during adolescence is believed to be associated with a certain recessive genotype (aa) at a certain locus. It is known that in a population 5% of adults have the disease. Suppose that among the adults with the disease ND, 85% have the aa genotype. Also suppose that among the adults without the disease, 2% of them have the aa genotype. We have randomly selected an adult from this population,
(a) What is the probability that this person has the disease but not the aa genome type?
(b) What is the probability that this person has the aa genome type the but not the disease ND?
(c) Given that this person has the aa genotype, what is the probability that this person has the disease ND?
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