Problem:
Suppose that 18% of the employees at a given corporation engage in physical exercise activities during the lunch hour. Moreover, assume that 57% of all employees are male, and 12% of all employees are males who engage in physical exercise activities during the lunch hour.
a) if we choose an employee at random from this corporation, what is the probability that this person is a female that engages in physical exercise activites during the lunch hour?
b) if we choose an employee at random from this corporation, what is the probability that this employee is a female that does not engage in physical exercise activities during the lunch hour?