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Suppose X~ N(-1, 2). What is the z-score of x = 2?

Suppose X~ N(-1, 2). What is the z-score of x = 2?

MATLAB: An Introduction with Applications
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.
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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