Consumer Shopping statistic questions
A sample of 500 respondents was selected in a large metropolitan area to determine information
concerning consumer behaviour. The following contingency table was obtained:
(show in the picture)
A respondent is chosen at random.
(a) (8 marks) What is the probability that the respondent:
(i) is male;
(ii) does not enjoy shopping for clothing;
(iii) is male and does not enjoy shopping for clothing;
(iv) is female or enjoys shopping for clothing.
(b) (3 marks) Assume the respondent chosen enjoys shopping for clothing. What, then, is the
probability that the individual is a male?
(c) (4 marks) Are enjoying shopping for clothing and gender of the individual statistically independent?
Explain your answer carefully.