A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three ...

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?
  b. If an employee is taken at random, what is the probability that the employee earns more than 30,000 a year?
  c. If an employee is taken at random, what is the probability that the employee is male and earns more than 30,000 a year?
  d. If an employee is taken at random, what is the probability that the employee is male or earns more than 30,000 a year?
  e. The employee taken at random turns out to be male. Compute the probability that he earns more than 30,000 a year.
  f. Are being male and earning more than 30,000 a year independent?