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A sample ot bUu respondents was selected in a large metropolitan area to determine information concerning consumer behaviour. The following contingency table was obtained Gender Male Female Total Enjoys shopping for clothing Yes 136 104 240 224 36 260 360 140 500 Total A respondent is chosen at (a) (8 marks) What is the probability that the respondent: andom. (i) is male; () does not enjoy shopping for clothing; (ii) 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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