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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1544 and a standard deviation of 292. The local college includes a minimum score of 2420 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 2420) = 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 1544 and a standard deviation of 292. The local college includes a minimum score of 2420 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 2420) = 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
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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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1544 and a standard deviation of 292. The local college includes a minimum score of 2420 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 2420) = 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.
Transcribed Image Text:The combined SAT scores for the students at a local high school are normally distributed with a mean of 1544 and a standard deviation of 292. The local college includes a minimum score of 2420 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 2420) = 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.
Expert Solution
Step 1

Given that 

mean (μ) = 1544

standard deviation (σ) = 292 

we need to find P(X < 2420 ) = ?

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