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Unformatted text preview: Using clinical studies the following approximates to probabilities have been observed Estimate the probabilities that a patient who tested positive in fact has tuberculosis, and the probability that a patient who tested negative has tuberculosis. It is also known You may use Bayes’s Theorem: Let A and B be events. Then Pr ( B  A ) = Pr ( B ) · Pr ( A  B ) Pr ( A ) = Pr ( B ) · Pr ( A  B ) Pr ( B ) · Pr ( A  B ) + Pr ( B ) · Pr ( A  B ) Pr ( W  T ) = 0 . 775 , Pr ( W  T ) = 0 . 15 , Pr ( W  T ) = 0 . 225 , Pr ( W  T ) = 0 . 85 Pr ( T ) ≈ . 002 ....
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 Spring '09
 MarniMishna
 Conditional Probability, Probability, Probability theory, Mantoux test

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