Consumer Shopping statistic questions

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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.

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