QUESTION 3/SOALAN 3 The following table shows 200 OUM students in Klang Valley who were randomly selected for research on which level of the academic programme they are enrolled in. Diploma Bachelor Master's Doctor of Total Degree Degree Philosophy [PhD) Male 60 40 15 5 120 Female 30 30 12 8 80 Total 90 70 27 13 200 A respondent is randomly selected and answer the following questions: i. Draw a tree diagram to represent the table above. ii. What is the probability of selecting a female and someone who is doing a doctor of philosophy in OUM? iii. What is the probability of selecting a female and someone who is doing a diploma in OUM? iv. What is the probability of selecting a male or someone who is doing a bachelor degree in OUM? V. What is the probability of selecting a master's degree student if we only select from a group of male? vi. Can we conclude that the level of academic program enrolled is independent with the gender of the respondents? Justify your