13 Find the area under the standard normal distribution curve to the right of z=2.00. Use decimal places. The Standard Normal Distribution Table and enter the answer to 4 The area to the right of the z value is
13 Find the area under the standard normal distribution curve to the right of z=2.00. Use decimal places. The Standard Normal Distribution Table and enter the answer to 4 The area to the right of the z value is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Finding the Area Under the Standard Normal Distribution Curve
To find the area under the standard normal distribution curve to the right of \( z = 2.00 \), follow these steps:
1. **Use The Standard Normal Distribution Table:** The table provides the cumulative probability of a standard normal distribution, which is the area to the left of a given \( z \)-value.
2. **Find the Area to the Right:** To find the area to the right of \( z \)-value, subtract the cumulative probability from 1.
Here is how you would typically perform this calculation:
- Look up the cumulative probability of \( z = 2.00 \) in the standard normal distribution table.
- Subtract this value from 1 to find the area to the right.
Input your answer in the text field provided:
- **The area to the right of the \( z \) value is:** [Input Box]
Finally, use the buttons for additional functionality:
- \( X \) to clear the input.
- The circular arrow to refresh or reset the input.
### Example for z = 2.00
- If the cumulative probability for \( z = 2.00 \) is 0.9772, then the area to the right of \( z = 2.00 \) \( = 1 - 0.9772 = 0.0228 \).
Submit your answer and ensure it is rounded to four decimal places.
**Note:** There are no graphs or diagrams in this particular example, but if any were present, they would illustrate the distribution curve and highlight the area of interest to the right of the given \( z \)-value.
### Interface Buttons
- **Check:** Click this to verify your answer.
- **Save For Later:** Use this to save your current progress.
- **Submit:** Click this to submit your final answer.
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Transcribed Image Text:### Finding the Area Under the Standard Normal Distribution Curve
To find the area under the standard normal distribution curve to the right of \( z = 2.00 \), follow these steps:
1. **Use The Standard Normal Distribution Table:** The table provides the cumulative probability of a standard normal distribution, which is the area to the left of a given \( z \)-value.
2. **Find the Area to the Right:** To find the area to the right of \( z \)-value, subtract the cumulative probability from 1.
Here is how you would typically perform this calculation:
- Look up the cumulative probability of \( z = 2.00 \) in the standard normal distribution table.
- Subtract this value from 1 to find the area to the right.
Input your answer in the text field provided:
- **The area to the right of the \( z \) value is:** [Input Box]
Finally, use the buttons for additional functionality:
- \( X \) to clear the input.
- The circular arrow to refresh or reset the input.
### Example for z = 2.00
- If the cumulative probability for \( z = 2.00 \) is 0.9772, then the area to the right of \( z = 2.00 \) \( = 1 - 0.9772 = 0.0228 \).
Submit your answer and ensure it is rounded to four decimal places.
**Note:** There are no graphs or diagrams in this particular example, but if any were present, they would illustrate the distribution curve and highlight the area of interest to the right of the given \( z \)-value.
### Interface Buttons
- **Check:** Click this to verify your answer.
- **Save For Later:** Use this to save your current progress.
- **Submit:** Click this to submit your final answer.
© 2021 McGraw-Hill Education. All Rights Reserved.
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