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ml-recall

#conditional-independence

12 questions from Probability, Classification, Probabilistic & Graphical Models, Time Series

Timed test

12 questions · 12 min · score and explanations at the end

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Q 1 / 12Score 0 / 0

Question 1: Short answer

hardAI-checkedProbability

Prevalence is P(H=1)=0.0015P(H{=}1) = 0.0015. Two tests each have false negative rate 0.01 and false positive rate 0.1. For a sick patient the two results are independent; for a healthy patient they are coupled, with P(D1=1,D2=1∣H=0)=0.02P(D_1{=}1, D_2{=}1 \mid H{=}0) = 0.02. Both tests come back positive. What is P(H=1∣D1=1,D2=1)P(H{=}1 \mid D_1{=}1, D_2{=}1)? Round to 4 decimals.

a probability, 4 decimals