4) The students at a high school are heavily involved in extra-curricular activities. Suppose that a student is to be selected at random from the school. Let the events A, M, and S be defined as follows, with the probabilities listed:

= student is active in the performing arts: ()=0.20 = student is active in vocal or instrumental music: ()=0.32 = student is active in sports: ()=0.35

()=0.18,()=0.07,(|)=0.30

Calculate each of the following (show your work):

(a) (|)

(b) ()

(c) ()