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Discrimination in the workplace is illegal, and companies that discriminate are often sued. The female instructors at a large university recently lodged a complaint about

  1. Discrimination in the workplace is illegal, and companies that discriminate are often sued. The female instructors at a large university recently lodged a complaint about the most recent round of promotions from assistant professor to associate professor. An analysis of the relationship between gender and promotion produced the following probabilities.
Promoted Not Promoted
Female .03 .12
Male .17 .68
  1. What is the probability that a randomly selected instructor at this university is a male but not promoted?

b. What is the probability we select a promoted instructor out of a room that includes all of the female instructors?

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