In: Statistics and Probability
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 Have Retirement Benefits
Yes. No
Men 225 75
Women 150 50
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.