The labor force is the actual number of people eligible for work, both the employed and the unemployed. In one county, men constitute 60% of the labor force. The rates of unemployment are 5.1% and 4.3% among males and females, respectively.
a. What proportion of the labor force is employed?
b. If a person selected at random from the labor force is found to be unemployed, what is the probability that the person is a woman?