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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9.3, Problem 56E

Textbook Problem

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**Education** For high school graduates from 2012 through 2014, the scores on the ACT Test can be modeled by a normal probability density function with a mean of 21.0 and a standard deviation of 5.4. *(Source: ACT, Inc.)*

(a) Use a graphing utility to graph the distribution.

(b) Use a symbolic integration utility to approximate the probability that a person who took the ACT scored between 24 and 36.

(c) Use a symbolic integration utility to approximate the probability that a person who took the ACT scored more than 26.

**(a)**

To determine

**To graph:** The provided normal probability density function by the use of a graphing utility if the score on ACT test of high school graduates from 2012 to 2014 is modelled by a normal probability density function.

**Given information:**

For the normal probability density function the mean is

**Graph:**

The normal probability density function is given by

Substitute

**(b)**

To determine

**To calculate:** The approximate probability that when a person took ACT, scores between 26 to 36 by the use of symbolic integration utility.

**(c)**

To determine

**To calculate:** The approximate probability of that when a person took ACT, scores more than

Calculus: An Applied Approach (MindTap Course List)

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