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

 IQ test scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard deviation of σ = 15 Find the proportion of the population in each of thefollowing IQ categories.
a. Genius or near genius: IQ over 140
b. Very superior intelligence : IQ from 120-140
c. Average or normal intelligence : IQ from 90-109