Please use the following informationto answer questions 7a-7c:

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

7a. Find the proportion of the population in the following IQ category:

Genius or near genius: IQ greater than 140 (MUST SHOW WORK FOR THIS PROBLEM).

Note: Bring your answer out to the third decimal place.

7b.Find the proportion of the population in the following IQ category:

Very superior intelligence:IQ between120and140(MUST SHOW WORK FOR THIS PROBLEM).

Note:Bring your answer out to the seconddecimal place.

7c.Find the proportion of the population in the following IQ category:

Average or normal intelligence:IQ between90and109(MUST SHOW WORK FOR THIS PROBLEM).

Note:Bring your answer out to the second decimal place.