What percent of data is less than -8%

MATLAB: An Introduction with Applications
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What percent of data is less than -8%

 

The image features a bell-shaped curve representing a normal distribution, commonly known as a Gaussian Distribution. The curve is depicted on a graph with both horizontal and vertical grid lines for reference.

**Graph Explanation:**

- **Horizontal Axis:** The x-axis is labeled with values ranging from -9 to -3, indicating the data points or standard deviations in the distribution.
- **Vertical Axis:** The y-axis displays values from 0 to 0.4, representing the probability density or frequency of occurrence of the corresponding x-values.
- **Bell Curve:** The red curve peaks around the value of -6, which is likely the mean or central value of the distribution. It symmetrically tapers off on both sides, illustrating the spread of data.
- **Vertical Lines:** There are a few blue vertical lines intersecting the curve at different x-values, potentially indicating specific data points or standard deviation markers.

This graph is a visualization of how data is distributed around the mean in a standard normal distribution, which is a fundamental concept in statistics for understanding data variability and probability.
Transcribed Image Text:The image features a bell-shaped curve representing a normal distribution, commonly known as a Gaussian Distribution. The curve is depicted on a graph with both horizontal and vertical grid lines for reference. **Graph Explanation:** - **Horizontal Axis:** The x-axis is labeled with values ranging from -9 to -3, indicating the data points or standard deviations in the distribution. - **Vertical Axis:** The y-axis displays values from 0 to 0.4, representing the probability density or frequency of occurrence of the corresponding x-values. - **Bell Curve:** The red curve peaks around the value of -6, which is likely the mean or central value of the distribution. It symmetrically tapers off on both sides, illustrating the spread of data. - **Vertical Lines:** There are a few blue vertical lines intersecting the curve at different x-values, potentially indicating specific data points or standard deviation markers. This graph is a visualization of how data is distributed around the mean in a standard normal distribution, which is a fundamental concept in statistics for understanding data variability and probability.
Expert Solution
Step 1

here we can see that shape of curve is bell shaped and symmetric about x = -6

so it is normal distribution 

here we can see that μ-3σ = -9μ-2σ = -8μ-σ   = -7μ         = -6μ+σ   = -9μ+2σ= -8μ+3σ= -7

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