Question: Five hundred employees were selected from a city s large private

Five hundred employees were selected from a city’s large private companies, and they were asked whether or not they have any retirement benefits provided by their companies. Based on this information, the following two-way classification table was prepared.
a. If one employee is selected at random from these 500 employees, find the probability that this employee
i. Is a woman
ii. Has retirement benefits
iii. Has retirement benefits given the employee is a man
iv. Is a woman given that she does not have retirement benefits
b. Are the events “man” and “yes” mutually exclusive? What about the events “yes” and “no?” Why or why not?
c. Are the events “woman” and “yes” independent? Why or why not?

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