You may need to use the appropriate appendix table to answer this question. Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.) (a) The area to the left of z is 0.2119. X (b) The area between -z and z is 0.9398. X (c) The area between -z and z is 0.2128. X (d) The area to the left of z is 0.9951. X (e) The area to the right of z is 0.5793.

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# Finding Z-Scores Using Standard Normal Distribution

In this exercise, you may need to use the appropriate appendix table to answer the following questions. Given that \( z \) is a standard normal random variable, find \( z \) for each situation, rounding your answers to two decimal places.

## Given Questions:

### (a) 
**Problem:** The area to the left of \( z \) is 0.2119.  
**Answer:** \( \_\_\_\_\_\_\_\_\_ \)  
![Red cross icon indicating incorrect answer]

### (b) 
**Problem:** The area between \(-z\) and \(z\) is 0.9398.  
**Answer:** \( \_\_\_\_\_\_\_\_\_ \)  
![Red cross icon indicating incorrect answer]

### (c) 
**Problem:** The area between \(-z\) and \(z\) is 0.2128.  
**Answer:** \( \_\_\_\_\_\_\_\_\_ \)  
![Red cross icon indicating incorrect answer]

### (d) 
**Problem:** The area to the left of \( z \) is 0.9951.  
**Answer:** \( \_\_\_\_\_\_\_\_\_ \)  
![Red cross icon indicating incorrect answer]

### (e) 
**Problem:** The area to the right of \( z \) is 0.5793.  
**Answer:** \( \_\_\_\_\_\_\_\_\_ \)  
![Red cross icon indicating incorrect answer]

## Additional Support

If you need help with these problems, you can click on the **Read It** or **Watch It** buttons for further assistance.

[Need Help?]
**Read It** [Button]
**Watch It** [Button]

These resources will guide you through the steps needed to determine the appropriate \( z \)-scores for the given areas.
Transcribed Image Text:# Finding Z-Scores Using Standard Normal Distribution In this exercise, you may need to use the appropriate appendix table to answer the following questions. Given that \( z \) is a standard normal random variable, find \( z \) for each situation, rounding your answers to two decimal places. ## Given Questions: ### (a) **Problem:** The area to the left of \( z \) is 0.2119. **Answer:** \( \_\_\_\_\_\_\_\_\_ \) ![Red cross icon indicating incorrect answer] ### (b) **Problem:** The area between \(-z\) and \(z\) is 0.9398. **Answer:** \( \_\_\_\_\_\_\_\_\_ \) ![Red cross icon indicating incorrect answer] ### (c) **Problem:** The area between \(-z\) and \(z\) is 0.2128. **Answer:** \( \_\_\_\_\_\_\_\_\_ \) ![Red cross icon indicating incorrect answer] ### (d) **Problem:** The area to the left of \( z \) is 0.9951. **Answer:** \( \_\_\_\_\_\_\_\_\_ \) ![Red cross icon indicating incorrect answer] ### (e) **Problem:** The area to the right of \( z \) is 0.5793. **Answer:** \( \_\_\_\_\_\_\_\_\_ \) ![Red cross icon indicating incorrect answer] ## Additional Support If you need help with these problems, you can click on the **Read It** or **Watch It** buttons for further assistance. [Need Help?] **Read It** [Button] **Watch It** [Button] These resources will guide you through the steps needed to determine the appropriate \( z \)-scores for the given areas.
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