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Solution: IQ test scores are standardized to produce a normal distribution with a mean of μ = 100 and a standard deviation σ = 15. Find the proportion

Question: IQ test scores are standardized to produce a normal distribution with a mean of $\mu $ = 100 and a standard deviation $\sigma $ = 15. Find the proportion of population in each of the following IQ categories:

Genius or near genius: IQ over 140.
Very superior intelligence: IQ from 120 to 140.
Average or normal intelligence: IQ from 90 to 109

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Solution: IQ test scores are standardized to produce a normal distribution with a mean of μ = 100 and a standard deviation σ = 15. Find the proportion

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