Question 1 (Total: 25 marks) The following table shows a recent study on the relationship between gender and interest in Mathematics: Likes Math Does Not TOTALS Like Math Male 100 400 Female 150 TOTALS 250 (a) Complete the table. (3 marks) (b) If a person is randomly selected, what is the probability that the person is male, (2 marks) II. is female and likes Math, (2 marks) III. is male or likes Math? (4 marks) iv. If the person is male, what is the probability that he does not like Math? (5 marks) v. Discuss whether gender and interest in math are independent in this case. (4 marks) (c) Discuss the difference between Quantitative and Qualitative variables. Give an example for each case