The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 310. The local college includes a minimum score of 642 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 642) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 310. The local college includes a minimum score of 642 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 642) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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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![**Understanding SAT Score Distribution and Admission Requirements**
The combined SAT scores for the students at a local high school follow a normal distribution with a mean (average) score of 1479 and a standard deviation of 310. The local college has set a minimum SAT score requirement of 642 for admission.
**Question:**
What percentage of students from this school score below the required admission score?
\[ P(X < 642) = \_\_ \% \]
*Instructions:*
- Enter your calculation as a percentage accurate to one decimal place (omit the "%" symbol).
- You may use exact z-scores or z-scores rounded to three decimal places to obtain your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce414cf0-3510-4369-b07b-737dca602a2e%2F7c98bc3f-6c0f-470a-a5ed-68e56761a9cd%2F1x2o8ju_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding SAT Score Distribution and Admission Requirements**
The combined SAT scores for the students at a local high school follow a normal distribution with a mean (average) score of 1479 and a standard deviation of 310. The local college has set a minimum SAT score requirement of 642 for admission.
**Question:**
What percentage of students from this school score below the required admission score?
\[ P(X < 642) = \_\_ \% \]
*Instructions:*
- Enter your calculation as a percentage accurate to one decimal place (omit the "%" symbol).
- You may use exact z-scores or z-scores rounded to three decimal places to obtain your answer.
Expert Solution

Step 1
Given:
X = 642
Formula Used:
Z-score =
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