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
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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.
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."
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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