4. (2 points) In a recent study, the following data was obtained in response to the question, "Do you favor recycling in your neighborhood?" Gender Favor Oppose No opinion Female 85 65 55 Male 80 70 55 If a person is selected at random (a) Find the following probability that given that the person favors the recycling, the person is a male. (b) Find the following probability that the person opposes the recycling, given that the person is female 5. (2 points) There are twelve women and eight men in department. (a) How many ways can a committee of eight people are selected? (b) How many ways can this committee are selected if there must be three men and five women on the committee? (c) How many ways can this committee are selected if there must be at least five women on the committee