In the 2014 MLB season the Los Angeles Dodgers won 94 games and lost 68 to finish in first place in the National League Western Division. Over the 162 games of the regular season they scored an average of 4.43 runs per game, with a standard deviation of 2.88 runs per game. The distribution of their 162 run PERFORMANCES is roughly symmetric, unimodal, and bell-shaped. r Sta OOK Tike by ur and

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### 2014 MLB Season Performance of the Los Angeles Dodgers

#### Overview:
In the 2014 MLB season, the Los Angeles Dodgers won 94 games and lost 68, finishing in first place in the National League Western Division. Over the 162 games of the regular season, they scored an average of 4.43 runs per game, with a standard deviation of 2.88 runs per game. The distribution of their 162 run performances is roughly symmetric, unimodal, and bell-shaped.

#### Diagram Explanation:
There is an image of Dodger Stadium in the document. The stadium is filled with spectators, showing a baseball game in progress with both teams positioned on the field. (Photo credit: losangeles.dodgers.mlb.com).

#### Statistical Analysis Questions:
1. **Sketch a Normal Distribution Curve**:
   - Sketch and label a bell-shaped curve. The mean (μ) is 4.43 runs per game, and the standard deviation (σ) is 2.88 runs per game.

2. **Percentage of Games with Specific Scores**:
   - [Hidden Text] 
   
3. **Games with Fewer than X Runs**:
   - [Hidden Text]

4. **Games Scoring Between 5.5 and 7.31 Runs**:
   - In what number of games would you expect the Dodgers to score between 5.5 and 7.31 runs?

This analysis and the questions based on it help understand the distribution of the Dodgers' runs scored per game during the 2014 season using the concepts of mean, standard deviation, and the properties of a normal distribution.
Transcribed Image Text:### 2014 MLB Season Performance of the Los Angeles Dodgers #### Overview: In the 2014 MLB season, the Los Angeles Dodgers won 94 games and lost 68, finishing in first place in the National League Western Division. Over the 162 games of the regular season, they scored an average of 4.43 runs per game, with a standard deviation of 2.88 runs per game. The distribution of their 162 run performances is roughly symmetric, unimodal, and bell-shaped. #### Diagram Explanation: There is an image of Dodger Stadium in the document. The stadium is filled with spectators, showing a baseball game in progress with both teams positioned on the field. (Photo credit: losangeles.dodgers.mlb.com). #### Statistical Analysis Questions: 1. **Sketch a Normal Distribution Curve**: - Sketch and label a bell-shaped curve. The mean (μ) is 4.43 runs per game, and the standard deviation (σ) is 2.88 runs per game. 2. **Percentage of Games with Specific Scores**: - [Hidden Text] 3. **Games with Fewer than X Runs**: - [Hidden Text] 4. **Games Scoring Between 5.5 and 7.31 Runs**: - In what number of games would you expect the Dodgers to score between 5.5 and 7.31 runs? This analysis and the questions based on it help understand the distribution of the Dodgers' runs scored per game during the 2014 season using the concepts of mean, standard deviation, and the properties of a normal distribution.
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