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IQ test scores are standardized to produce a normal distribution with a mean of m = 100 and a standard deviation of o = 15.

 IQ test scores are standardized to produce a normal distribution with a mean of m = 100 and a standard deviation of o = 15.  Find the proportion of the population in each of the following IQ categories. Show all work.

a. Genius or near genius: IQ over 40

b. Very superior intelligence: IQ from 120-140

c. Average or normal intelligence: IQ from 90-109

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