Question

In: Statistics and Probability

Five hundred employees were selected from a city’s large private companies and they were asked whether...

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.

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