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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 16TYS

Textbook Problem

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An *intelligence quotient* or IQ is a number that is meant to measure intelligence. The IQs of students in a school are normally distributed with a mean of 110 and a standard deviation of 10. Use a symbolic integration utility to approximate the probability that a student at the school will have an IQ (a) within one standard deviation of the mean and (b) greater than 130.

**(a)**

To determine

**To calculate:** The approximate probability that a student at school will have an IQ within one standard deviation of the mean using symbolic integration utility where IQ is a number used to measure intelligence of students in a school and it is normally distributed with a mean and standard deviation of

**Given Information:**

The intelligence of students in a school is normally distributed with a mean and standard deviation of

**Formula used:**

If

**Calculation:**

The normal probability density function is given by

Substitute

**(b)**

To determine

**To calculate:** The approximate probability that a student at school will have an IQ greater than

Calculus: An Applied Approach (MindTap Course List)

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