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Medical researchers seek to obtain a sample of 5 individuals with a particular genetic trait that...

Medical researchers seek to obtain a sample of 5 individuals with a particular genetic trait that is only present in 2% of the population they are studying. They decide to examine individuals from this population one-by-one and test them for this trait until they obtain their desired sample. Interested in estimating the cost of their study, they want to model X = total # of individuals they examine until they obtain their sample of 5 individuals with this trait. What kind of distribution can be used to model X?

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