How to Solve Word Problems Using Bayes’ Theorem. [HD]

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The accuracy of a medical diagnostic test, in which a positive result indicates the presence of a disease, is often stated in terms of its sensitivity, the proportion of diseased people who test positive or P(+|Disease), and its specificity, the proportion of people without the disease who test negative or P(-|No Disease). Suppose that 10% of the population has the disease (called the prevalence rate). A diagnostic test for the disease has 95% sensitivity and 85% specificity. What is the probability that a person who tests positive actually has the disease?

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math
mathematics
bayes' theorem
specificity
sensitivity
prevalence rate