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14. IQ test scores are standardized to produce a normal distribution with a mean of u = 100 and a standard deviation of o =15. Find the proportion of the population in each of the following IQ categories. a. Genius or near genius: IQ greater than 140 b. Very superior intelligence: IQ between 120 and 140 c. Average or normal intelligence: IQ between 90 and 109 ||

14. IQ test scores are standardized to produce a normal distribution with a mean of u = 100 and a standard deviation of o =15. Find the proportion of the population in each of the following IQ categories. a. Genius or near genius: IQ greater than 140 b. Very superior intelligence: IQ between 120 and 140 c. Average or normal intelligence: IQ between 90 and 109 ||

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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**14. IQ Test Scores and Population Distribution** IQ test scores are standardized to produce a normal distribution with a mean (µ) of 100 and a standard deviation (σ) of 15. Find the proportion of the population in each of the following IQ categories: a. **Genius or Near Genius:** IQ greater than 140 b. **Very Superior Intelligence:** IQ between 120 and 140 c. **Average or Normal Intelligence:** IQ between 90 and 109 *Note: There are no graphs or diagrams present in the image, only the numerical values and categories mentioned above.*
Transcribed Image Text:**14. IQ Test Scores and Population Distribution** IQ test scores are standardized to produce a normal distribution with a mean (µ) of 100 and a standard deviation (σ) of 15. Find the proportion of the population in each of the following IQ categories: a. **Genius or Near Genius:** IQ greater than 140 b. **Very Superior Intelligence:** IQ between 120 and 140 c. **Average or Normal Intelligence:** IQ between 90 and 109 *Note: There are no graphs or diagrams present in the image, only the numerical values and categories mentioned above.*
Expert Solution
Step 1

Let. X be the IQ score 

X~N(μ=100,σ2=152)

 

 

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