What is the probability of a person being diagnosed with a disease if the prevalence of the disease in a population is 2% and the test for the disease has a sensitivity of 90% and a specificity of 95%? (2021)

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0.018
0.020
0.090
0.095

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Q: What is the probability of a person being diagnosed with a disease if the prevalence of the disease in a population is 2% and the test for the disease has a sensitivity of 90% and a specificity of 95%? (2021)

Solution: Using Bayes' theorem, P(Disease|Positive) = (P(Positive|Disease) * P(Disease)) / P(Positive). Here, P(Positive) = P(Positive|Disease) * P(Disease) + P(Positive|No Disease) * P(No Disease). Calculating gives approximately 0.018.

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What is the probability of a person being diagnosed with a disease if the prevalence of the disease in a population is 2% and the test for the disease has a sensitivity of 90% and a specificity of 95%? (2021)

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