Not everyone pays the same price for the same model of a car. The figure illustrates a normal distribution for the - 99.7%- 95% -68%- prices paid for a particular model of a new car. The mean is $22,000 and the standard deviation is $2000. Use the 68-95-99.7 Rule to find what percentage of buyers paid between $20,000 and $24,000. 24 26 28 Price of a Model of a New Car (Thousands) 16 18 20 22 The percentage of buyers who paid between $20,000 and $24,000 is %. Number of Car Buyers

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**Understanding Car Pricing Using Normal Distribution**

When it comes to buying a car, not everyone pays the same price for the same model. The graph above illustrates a normal distribution of the amounts paid for a particular model of a new car. 

- **Key Information:**
  - **Mean (Average) Price:** $22,000
  - **Standard Deviation:** $2,000

Using the 68-95-99.7 Rule (Empirical Rule), we can determine the percentage of buyers who paid between $20,000 and $24,000.

**Graph Details:**
- The x-axis represents the price of the car model (in thousands), while the y-axis represents the number of car buyers.
- The normal distribution curve is centered at the mean price of $22,000.
- **Shaded Region (68%):** The area between $20,000 and $24,000 represents one standard deviation from the mean, capturing about 68% of the data.

**Conclusion:**  
Using the 68-95-99.7 Rule, approximately 68% of buyers paid between $20,000 and $24,000 for the car. 

The percentage of buyers who paid between $20,000 and $24,000 is **68%**.
Transcribed Image Text:**Understanding Car Pricing Using Normal Distribution** When it comes to buying a car, not everyone pays the same price for the same model. The graph above illustrates a normal distribution of the amounts paid for a particular model of a new car. - **Key Information:** - **Mean (Average) Price:** $22,000 - **Standard Deviation:** $2,000 Using the 68-95-99.7 Rule (Empirical Rule), we can determine the percentage of buyers who paid between $20,000 and $24,000. **Graph Details:** - The x-axis represents the price of the car model (in thousands), while the y-axis represents the number of car buyers. - The normal distribution curve is centered at the mean price of $22,000. - **Shaded Region (68%):** The area between $20,000 and $24,000 represents one standard deviation from the mean, capturing about 68% of the data. **Conclusion:** Using the 68-95-99.7 Rule, approximately 68% of buyers paid between $20,000 and $24,000 for the car. The percentage of buyers who paid between $20,000 and $24,000 is **68%**.
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