Find the indicated z-score shown in the graph to the right.  The Z score is.....  Find the Z score

MATLAB: An Introduction with Applications
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Find the indicated z-score shown in the graph to the right. 

The Z score is..... 

Find the Z score

 

### Understanding the Standard Normal Distribution

This graph represents a standard normal distribution curve, which is a continuous probability distribution that is symmetrical around its mean.

#### Diagram Explanation:

- **Curve Description**: The bell-shaped curve is characteristic of a normal distribution.
- **Z-Score (z)**: This axis represents the z-score, which measures the number of standard deviations a data point is from the mean.
- **Shaded Area**: The blue shaded region to the left of the curve indicates the cumulative probability up to a certain z-score.
- **Area Value**: The area of the shaded region is 0.3336, representing the probability that a randomly selected value from the distribution is less than the z-score.
- **Unknown Z-Score**: The point where the area equals 0.3336 corresponds to an unknown z-score, which can be determined using a z-table or statistical software.

This graphical representation helps in understanding the probability of a value occurring within a certain range in a standard normal distribution.
Transcribed Image Text:### Understanding the Standard Normal Distribution This graph represents a standard normal distribution curve, which is a continuous probability distribution that is symmetrical around its mean. #### Diagram Explanation: - **Curve Description**: The bell-shaped curve is characteristic of a normal distribution. - **Z-Score (z)**: This axis represents the z-score, which measures the number of standard deviations a data point is from the mean. - **Shaded Area**: The blue shaded region to the left of the curve indicates the cumulative probability up to a certain z-score. - **Area Value**: The area of the shaded region is 0.3336, representing the probability that a randomly selected value from the distribution is less than the z-score. - **Unknown Z-Score**: The point where the area equals 0.3336 corresponds to an unknown z-score, which can be determined using a z-table or statistical software. This graphical representation helps in understanding the probability of a value occurring within a certain range in a standard normal distribution.
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