A community swim team has 150 members. Seventy-five of the members are advanced swimmers. Forty-seven of the members are intermediate swimmers. The remainder are novice swimmers.

Forty of the advanced swimmers practice four times a week. Thirty of the intermediate swimmers practice four times a week. Ten of the novice swimmers practice four times a week.

Suppose one member of the swim team is randomly chosen.

Answer the following questions. Please show your work:

Problem 1:

What is the probability that the member is a novice swimmer?

Problem 2:

What is the probability that the member practices four times a week?

Problem 3:

What is the probability that the member is an advanced swimmer and practices four times a week?

Problem 4:

What is the probability that a member is an advanced swimmer and an intermediate swimmer?

Are being an advanced swimmer and an intermediate swimmer mutually exclusive? Why or why not?

Problem 5:

Are being a novice swimmer and practicing four times a week independent events? Why or why not?