In an electronic testing setup, test equipment correctly identifies a defective circuit with probability (sensitivity). If a batch has a true defect prevalence of , what is the probability that a randomly chosen circuit is both defective and correctly identified?

Answer and explanation

Correct answer: B.

  1. Step 1: Joint probability is . **Answer: . Why not the others:** is the total defect prevalence, underestimates sensitivity, and is an arithmetic error.

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