In Example 12.16 (page 539), suppose that the fire sensor was noisy in that it had a

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In Example 12.16 (page 539), 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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