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For a particular disease, the probability of having the disease in a particular population is 0.05. If someone from the population has the disease, the

For a particular disease, the probability of having the disease in a particular population is 0.05. If someone from the population has the disease, the probability they test positive of this disease is 0.92. If this person does not have the disease, the probability they test positive is 0.02. What is the probability of a random person selected from the population is infected given that his/her test result is positive?

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0.065

0.92

0.046

0.7077

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