Five hundred employees were selected from a city's large private companies, and they were asked whether or not they have

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Five hundred employees were selected from a city's large privatecompanies, and they were asked whether or not they have anyretirement benefits provided by their companies. Based on thisinformation, the following two-way classification table wasprepared.
a. If one employee is selected at random from these 500employees, find the probability that this employee is
Note: Please write yourprobability answers as fractions like 2/5.
i. a woman:
ii. has retirement benefits:
iii. has retirement benefits given the employee isa man:
iv. a woman given that the person does not haveretirement benefits:
b. Are the events "man" and "yes" mutuallyexclusive? What about the events "yes" and "no"?
c. Are the events "woman" and "yes" independent?