Suppose X~ N(-1, 2). What is the z-score of x = 2?
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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![**Question 4**
**Homework • Unanswered**
Suppose \( X \sim N(-1, 2) \). What is the z-score of \( x = 2 \)?
*Type your numeric answer and submit.*
---
**Explanation:**
This problem asks for the z-score of a normally distributed variable \( X \) with a mean (\( \mu \)) of \(-1\) and a standard deviation (\( \sigma \)) of \(2\), when \( x = 2 \).
**Formula for z-score:**
\[ z = \frac{x - \mu}{\sigma} \]
Given:
- \( x = 2 \)
- \( \mu = -1 \)
- \( \sigma = 2 \)
Plug in the values:
\[ z = \frac{2 - (-1)}{2} \]
Please type your answer in the provided field and submit it to check its accuracy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c365b9c-2713-4371-a77a-f9bb68b19349%2Fb7494f9c-da94-4852-9758-0db4b667ba09%2Faae83eg_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 4**
**Homework • Unanswered**
Suppose \( X \sim N(-1, 2) \). What is the z-score of \( x = 2 \)?
*Type your numeric answer and submit.*
---
**Explanation:**
This problem asks for the z-score of a normally distributed variable \( X \) with a mean (\( \mu \)) of \(-1\) and a standard deviation (\( \sigma \)) of \(2\), when \( x = 2 \).
**Formula for z-score:**
\[ z = \frac{x - \mu}{\sigma} \]
Given:
- \( x = 2 \)
- \( \mu = -1 \)
- \( \sigma = 2 \)
Plug in the values:
\[ z = \frac{2 - (-1)}{2} \]
Please type your answer in the provided field and submit it to check its accuracy.
![**Question 3: Homework - Answered**
Suppose \( X \sim N(12, 6) \). What is the z-score of \( x = 2 \)?
Type your numeric answer and submit.
---
**Input Box:**
There is a text input box with a red border indicating that it cannot be empty, accompanied by an error icon and the message "Cannot be empty."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c365b9c-2713-4371-a77a-f9bb68b19349%2Fb7494f9c-da94-4852-9758-0db4b667ba09%2Fuec38wm_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 3: Homework - Answered**
Suppose \( X \sim N(12, 6) \). What is the z-score of \( x = 2 \)?
Type your numeric answer and submit.
---
**Input Box:**
There is a text input box with a red border indicating that it cannot be empty, accompanied by an error icon and the message "Cannot be empty."
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