A community chess club has 150 members. Seventy-five of the members are advanced players. Forty-seven of the members are intermediate players. The remainder are novice players.

Forty of the advanced players compete four times a week. Thirty of the intermediate players compete four times a week. Ten of the novice players compete four times a week.

Suppose one member of the club is randomly chosen.

In a Microsoft Word document,answerthe following questions. You must show your work to receive full credit. Be certain to include your name, date, and assignment information in your document:

Problem 1:Construct a chart to display the given information. You may have to calculate some of the entries in the chart.

Problem 2:What is the probability that the member is a novice player?

Problem 3:What is the probability that the member competes four times a week?

Problem 4:What is the probability that the member is an advanced player and competes four times a week?

Problem 5:What is the probability that a member is an advanced player and an intermediate player? Are being an advanced player and an intermediate player mutually exclusive? Why or why not?

Problem 6:Are being a novice player and competing four times a week independent events? Why or why not?