9. In Example 9.15, suppose that the fire sensor was noisy in that it had a 20%

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9. In Example 9.15, suppose that the fire sensor was noisy in that it had a 20% false positive rate, P(see_smoke | report ∧ ¬smoke) = 0.2, and a 15% false negative rate, P(see_smoke | report ∧ smoke) = 0.85 .

Is it still worthwhile to check for smoke?

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