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Probability

According to the US Bureau of Labor Statistics, 75% of the women 25 through 49 years of age participate in the labor force. Suppose 78% of the women in that age group are married. Suppose also that 61% of all women 25 through 49 years of age are married and are participating in the labor force.

a. What is the probability that a randomly selected woman is married or is participating in the labor force?
b. What is the probability that a randomly selected woman in that age group is married or is participating in the labor force but not both?
c. What is the probability that a randomly selected woman in that age group is neither married nor is participating in the labor force?

Solution Preview

Participating in Labor Force (LF) = 75%
Married = 78%
Maried and participating in LF = 61%

Thus % participating in LF but not married = 75% - 61% => 14%
% married and NOT participating in LF = 78% - 61% =>17%

a. What is the probability ...

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