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

Facial analysis system errors. 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 women as men 31% of the time, and routinely mislabeled light-skinned women as men 7% of the time. Suppose that the software processes a light-skinned woman and a dark-skinned woman.

(https://www.cnet.com/news/amazons-facial-tech-showsgender-racial-bias-mit-study-says/)

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

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

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

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