Question: Facial analysis system errors, II A study conducted by researchers at MIT and the University of Toronto found that Amazons facial analysis software Rekognition, used

Facial analysis system errors, II A study conducted by researchers at MIT and the University of Toronto found that Amazon’s facial analysis software Rekognition, used by some local governments for tracking down suspects, routinely mislabeled dark-skinned men as women 1% of the time, and almost never mislabeled light-skinned men (0%). Suppose that the software processes a light-skinned man and a dark-skinned man.

(a) What is the probability that at least one is mislabeled as a woman?

(b) What is the probability that both are mislabeled?

(c) Given that at least one is mislabeled as a woman, what’s the probability that the dark-skinned man is mislabeled?

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