Question 2 One student is selected at random from a group of 200 students which consists of 80 full time (50 female and 30 male) students and 120 parttime (80 female and 40 male) students. (a) Construct a contingency table to summarize the information given. (4 marks) (b) Find the probability that the student is fulltime or male. (4 marks) (c) Find the probability that the student is parttime given that she is female. (4 marks) (d) Are the events \"female\" and \"fulltime" mutually exclusive? Explain. (3 marks) [Total: 15 marks]