Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. The area of the shaded region is (Round to four decimal places as needed.) z = -1.09 5
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. The area of the shaded region is (Round to four decimal places as needed.) z = -1.09 5
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 12
Transcribed Image Text:### Understanding the Standard Normal Distribution
**Objective:**
Calculate the area of the shaded region under a standard normal distribution curve.
**Description:**
The given graph illustrates the standard normal distribution of bone density scores which follows a normal distribution with a mean (\(\mu\)) of 0 and a standard deviation (\(\sigma\)) of 1.
**Graph Explanation:**
To the right of the text, there is a bell-shaped curve representing the standard normal distribution. A region under the curve is shaded, corresponding to the area of interest for a specific z-score, indicated on the graph as \(z = -1.09\).
**Task:**
Determine the area of the shaded region under the curve.
**Instructions:**
Enter the calculated area of the shaded region in the provided input box. Ensure your answer is accurate to four decimal places.
**Formula:**
The area under the curve can be found using standard normal distribution tables or software that computes the cumulative distribution function (CDF) for the z-score.
**Example Input:**
If the computed area is 0.1379, input "0.1379" in the response box.
**Note:**
This area represents the probability that a score falls to the left of \(z = -1.09\) on the standard normal distribution curve.
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