2.2. 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. The following table gives the responses

 Have Benefits Have no Benefits 

men: 225 75

women: 150 50

If one employee is selected at random from these 500 employees,

find:

2.2.1. P(woman) [2]

2.2.2. P(Has retirement benefits) [2]

2.2.3. P(Has retirement benefits given the employee is a man) [3]

2.2.4. P(woman and has benefits) [2]

2.2.5. P(woman or has benefits) [2]

2.2.6. Are the events "have benefits" and "have no benefits" mutually exclusive? Why or why not? [2