The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1600 and the standard deviation is $110. 1270 1380 1490 1600 1710 1820 Distribution of Prices What is the approximate percentage of buyers who paid more than $1820? 1930 What is the approximate percentage of buyers who paid between $1490 and $1600? What is the approximate percentage of buyers who paid between $1270 and $1600? What is the approximate percentage of buyers who paid between $1490 and $1710? What is the approximate percentage of buyers who paid less than $1270? What is the approximate percentage of buyers who paid between $1600 and $1820?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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### Normal Distribution of HD Television Prices

The graph shows a normal distribution representing the prices paid for a specific model of HD television. Key statistics include:

- **Mean Price:** $1600
- **Standard Deviation:** $110

#### Graph Explanation

The graph is a bell curve illustrating the distribution of prices along the x-axis, ranging from $1270 to $1930. The peak of the curve corresponds to the mean price of $1600. The standard deviation helps determine the spread of the prices around the mean.

### Questions

1. **What is the approximate percentage of buyers who paid more than $1820?**

   [Answer box]

2. **What is the approximate percentage of buyers who paid between $1490 and $1600?**

   [Answer box]

3. **What is the approximate percentage of buyers who paid between $1270 and $1600?**

   [Answer box]

4. **What is the approximate percentage of buyers who paid between $1490 and $1710?**

   [Answer box]

5. **What is the approximate percentage of buyers who paid less than $1270?**

   [Answer box]

6. **What is the approximate percentage of buyers who paid between $1600 and $1820?**

   [Answer box]

This distribution is useful for analyzing purchasing patterns and understanding how prices vary among buyers for this HD television model.
Transcribed Image Text:### Normal Distribution of HD Television Prices The graph shows a normal distribution representing the prices paid for a specific model of HD television. Key statistics include: - **Mean Price:** $1600 - **Standard Deviation:** $110 #### Graph Explanation The graph is a bell curve illustrating the distribution of prices along the x-axis, ranging from $1270 to $1930. The peak of the curve corresponds to the mean price of $1600. The standard deviation helps determine the spread of the prices around the mean. ### Questions 1. **What is the approximate percentage of buyers who paid more than $1820?** [Answer box] 2. **What is the approximate percentage of buyers who paid between $1490 and $1600?** [Answer box] 3. **What is the approximate percentage of buyers who paid between $1270 and $1600?** [Answer box] 4. **What is the approximate percentage of buyers who paid between $1490 and $1710?** [Answer box] 5. **What is the approximate percentage of buyers who paid less than $1270?** [Answer box] 6. **What is the approximate percentage of buyers who paid between $1600 and $1820?** [Answer box] This distribution is useful for analyzing purchasing patterns and understanding how prices vary among buyers for this HD television model.
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From the provided information,

Mean (µ) = 1600

Standard deviation (σ) = 110

X~N (1600, 110)

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