The Two-Dice Experiment. Use the following information for Exercises 69–76. Your experiment is to toss a pair of fair dice and find .
Question 6.77
nflwins
77. National Football League. The number of wins for all 32 teams in the National Football League in the 2013 regular season are given in the table. (Hint: There are many values of in this table. You may wish to use a spreadsheet or other technology to help you solve some of these problems.)
| Team | Wins | Team | Wins |
|---|---|---|---|
| Seattle Seahawks | 13 | Miami Dolphins | 8 |
| Denver Broncos | 13 | Dallas Cowboys | 8 |
| Carolina Panthers | 12 | Chicago Bears | 8 |
| San Francisco 49ers | 12 | Tennessee Titans | 7 |
| New England Patriots | 12 | St. Louis Rams | 7 |
| Indianapolis Colts | 11 | New York Giants | 7 |
| New Orleans Saints | 11 | Detroit Lions | 7 |
| Kansas City Chiefs | 11 | Buffalo Bills | 6 |
| Cincinnati Bengals | 11 | Minnesota Vikings | 5 |
| Arizona Cardinals | 10 | Jacksonville Jaguars | 4 |
| Philadelphia Eagles | 10 | Tampa Bay Buccaneers | 4 |
| San Diego Chargers | 9 | Oakland Raiders | 4 |
| Green Bay Packers | 8 | Atlanta Falcons | 4 |
| Baltimore Ravens | 8 | Cleveland Browns | 4 |
| New York Jets | 8 | Washington Redskins | 3 |
| Pittsburgh Steelers | 8 | Houston Texans | 2 |
- Explain why the number of games is a random variable.
- Explain why the number of games is a discrete, not a continuous random variable.
- Construct a probability distribution table for .
- Draw a probability distribution graph for .
- Find .
- Identify the most likely value of .
6.1.77
(a) An NFL team is selected at random. (b) The number of games a team has won is counted.
(c)
| 2 | 0.0313 |
| 3 | 0.0313 |
| 4 | 0.1563 |
| 5 | 0.0313 |
| 6 | 0.0313 |
| 7 | 0.1250 |
| 8 | 0.2188 |
| 9 | 0.0313 |
| 10 | 0.0625 |
| 11 | 0.1250 |
| 12 | 0.0938 |
| 13 | 0.0625 |
| Total | 1.0004 |
(d)
(e) 0.2502 (f) 8 games won