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The reading score is often reported, after scaling, as a value Y which is normally distributed, with mean 100 and standard deviation 15. Values of Y are usually given to the nearest integer. (iv) Find the probability that a randomly chosen eight-year-old gets a score, after scaling, of 103. (v) What range of Y scores would you expect to be attained by the best 20% ´of readers?

The reading score is often reported, after scaling, as a value Y which is normally distributed, with mean 100 and standard deviation 15. Values of Y are usually given to the nearest integer. (iv) Find the probability that a randomly chosen eight-year-old gets a score, after scaling, of 103. (v) What range of Y scores would you expect to be attained by the best 20% ´of readers?

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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In a reading test for eight-year-old children, it is found that a reading score X is normally distributed with mean 5.0 and standard deviation 2.0. p What proportion of children would you expect to score between 4.5 and 6.0? (1) There are about 700 000 eight-year-olds in the country. How many would you expect to have a reading score of more than twice the mean? (r Why might educationalists refer to the reading score X as a 'score out of 10’? The reading score is often reported, after scaling, as a value Y which is normally distributed, with mean 100 and standard deviation 15. Values of Y are usually given to the nearest integer. (iv) Find the probability that a randomly chosen eight-year-old gets a score, after scaling, of 103. (v) What range of Y scores would you expect to be attained by the best 20% ´of readers?
Transcribed Image Text:In a reading test for eight-year-old children, it is found that a reading score X is normally distributed with mean 5.0 and standard deviation 2.0. p What proportion of children would you expect to score between 4.5 and 6.0? (1) There are about 700 000 eight-year-olds in the country. How many would you expect to have a reading score of more than twice the mean? (r Why might educationalists refer to the reading score X as a 'score out of 10’? The reading score is often reported, after scaling, as a value Y which is normally distributed, with mean 100 and standard deviation 15. Values of Y are usually given to the nearest integer. (iv) Find the probability that a randomly chosen eight-year-old gets a score, after scaling, of 103. (v) What range of Y scores would you expect to be attained by the best 20% ´of readers?
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