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1. (20 points) Discrimination in the workplace is illegal, and companies that di

ID: 2440417 • Letter: 1

Question

1. (20 points) 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 joint probabilities. Promoted(-D Not Promoted (Y-0 0.1 0.2 0.3 0.4 ema Male (X 0) What is the conditional rate of promotion among female assistant professors? What is the conditional rate of promotion among male assistant professors?

Explanation / Answer

Ans 1)

Conditional propotion means P(B/A)= given that event Ahas happened what is the probability of happening event B

Female in Sample population is 0.4 of total population

Now conditional rate of promotion among female assistant professors will be 0.1/0.4=0.25

Male Population is 0.6

Conditional Rate of Population among male assistant professors will be 0.2/0.6=0.33