A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three percent of the employees earn more than $30,000 a year. Eighteen percent of the employees are male and earn more than $30,000 a year.
a. If an employee is taken at random, what is the probability that the employee is male OR earns more than $30,000 a year (to 2 decimals)?
b. The employee taken at random turns out to be male. Compute the probability that he earns more than $30,000 a year (to 4 decimals).
c. Are being male and earning more than $30,000 a year independent?