Six hundred adults were asked whether or not they watch for calories and fat content when they

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Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch.

No Opinion Yes No 168 74 Men 58 106 Women 124 70

a. If one adult is randomly selected from these 600 adults, find the probability that this adult
i. Is a man
ii. Does not watch for calories and fat content
iii. Watches for calories and fat content given that this adult is a woman
iv. Is a man given that this adult has no opinion
b. Are events men and yes mutually exclusive? What about yes and no opinion?
c. Are events men and no independent? Why or why not?

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