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The probability that an individual randomly selected from a particular population has a certain disease is...

The probability that an individual randomly selected from a particular population has a certain disease is 0.04. A diagnostic test correctly detects the presence of the disease 94% of the time and correctly detects the absence of the disease 96% of the time. If the test is applied twice, the two test results are independent, and both are positive, what is the (posterior) probability that the selected individual has the disease?

[Hint: Tree diagram with first-generation branches corresponding to Disease and No Disease, and second- and third-generation branches corresponding to results of the two tests.]

math   Statistics-And-Probability   
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ANSWER C rn Uu elacted has thasa populahon tu Conside eventa that. Tore indi vidual and Co n ditionalproba and serult testis hegahve ure cive heuindividual and conditonal prtbobilithes cs folou probabilities tetposihve (PIO) 0:94 Calculate tho Prsbability that thu selected ndiuidual a tu di P ID/PP) 0 036 8 rs You aru s

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