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 €œman€ and €œyes€ mutually exclusive? What about the events €œyes€ and €œno?€ Why or why not?
c. Are the events €œwoman€ and €œyes€ independent? Why or why not?

Transcribed Image Text:

Have Retirement Benefits No 75 50 Yes 225 150 Men Women