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A certain disease has an incidence rate of 1%. It is known that the false...

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Algebra

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A certain disease has an incidence rate of 1%. It is known that the false negative rate is 10% and the false positive rate is 2%. Let D be the event that a person has the disease, and let T be the event that a person tests positive. Find P(DT), that is, the probability that someone has the disease, given that he or she has tested positive.

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Transcribed Image Text

A certain disease has an incidence rate of 1%. It is known that the false negative rate is 10% and the false positive rate is 2%. Let D be the event that a person has the disease, and let T be the event that a person tests positive. Find P(DT), that is, the probability that someone has the disease, given that he or she has tested positive.

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