Full working

3) A survey was taken at a rm and the staff were asked if they preferred working from home or at the ofce. The results of the survey are as follows follow: The following letters are assigned to the above events: F Staff is Female M Staff is Male H Staff Prefers to Work from Home O - Staff Prefers to Work at the Office ECN6035EM | SEMESTER 2 I 2021 | MAJOR ASSIGNMENT 2m a) If a staff is selected at random. what is the probability that they prefer to work at the ofce? (I Mark) b) If a staff is selected at random, what is the probability that the staff is a female? {I Mark) c) If a staff is selected at random and the selected staff is male. what is the probability that they preferred to work from home? {L5 Marks) (1) If a staff is selected at random and the selected staff is female, what is the probability that they preferred to work from home? {L5 Marks) e) If a staff is selected at random and the selected staff prefers working from home, what is the probability that the staff is a female?I (1.5 Marks) f) If a staff is selected at random and the selected staff prefers working at the ofce. what is the probability that the staff is a male? {1.5 Marks)