[2](10) A sample of 500 respondents was selected in a large metropolitan area to determine various informa- tion concerning consumer behavior. Among the questions asked was "Do you enjoy shopping for clothing?" Of 240 males, 136 answered yes. Of 260 females, 224 answered yes. a) Fill out the following table (contingency table) using the given information. Do you enjoy shopping for clothing? Yes No Total Male Female Total b) Is "enjoy shopping for clothing" statistically gender-independent? Explain why in your own words. c) Are events "enjoy shopping for clothing" and "male" mutually exclusive? Explain why in your own words. d) What is the probability of observing events "enjoy shopping for clothing" or "male?" e) What is the probability that a respondent chosen at random enjoys shopping if the person is male? () What is the probability that a respondent chosen at random is a female if the person answered no