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

  • Genius or near genius: IQ greater than 140
  • Very superior intelligence: IQ between 120 and 140
  • Average or normal intelligence: IQ between 90 and 109

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