IQ test scores are standardized to produce a normal distribution with a mean of m = 100 and a standard deviation of s 515. Find the proportion of the population in each of the following IQ categories....

IQ test scores are standardized to produce a normal distribution with a mean of m = 100 and a standard deviation of s 515. Find the proportion of the population in each of the following IQ categories.

a. Genius or near genius: IQ over 140

b. Very superior intelligence: IQ from 120 to 140