Question 3 (6 marks) Marks a. The following table is prepared by the HR manager of a manufacturing company in Wetherill Park. The table gives the classification of all 30 of their employees for the year 2021 by gender and college degree. Education Gender College Graduate Not a College Total G Graduate (N) Female (F) 12 5 17 Male (M) 9 13 Total 21 30 If one of these employees is selected at random for membership on the employee managemen committee: i. What is the probability that this employee is female and a college graduate? [1] ii. What is the probability that this employee is not a college graduate given he is male? [1] iii. What is the probability that this employee is male or a college graduate? [2] b. In a study of incentives used by companies to retain mature workers, it is reported that 30% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 10% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 55% give time off for volunteerism. If a company is randomly selected, find the probability that the company uses flexible work arrangements and does not give time off for volunteerism. [2]