According to U.S. Census data, 68% of the civilian U.S. labor force self-identifies as White, 11% as Black, 13% as Hispanic or Latino, and the remaining 8% as other ethnic origin. Among Whites in the labor force 54% are Male and 46% Female. Among Blacks, 52% are Male and 48% Female, and among Hispanic/Latinos, 58% are Male and 42% are Female. Breakdowns by gender are not avail- able for other categories.
a) Here is a probability tree for these relationships. Fill in the probabilities as given:
a) Here is the outline of a probability tree for this situation. Fill in the probabilities
b) What is the probability that a random job applicant will be an honest worker who is cleared by the polygraph?