In a county, men constitute 60% of the labor force. The rates of unemployment are 5.1% and 4.3% among males and females, respectively.
(a) In the context, of selecting a worker at random from the country labor force, state what probabilities the foregoing percentages represent. (Use symbols such as M for male, E for employed.)
(b) What is the overall rate of unemployment in the county?
(c) If a worker selected at random is found to be unemployed, what is the probability that the worker is a woman?