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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9.3, Problem 57E

Textbook Problem

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**Fuel Mileage** Assume the fuel mileages of all 2015 model vehicles are normally distributed with a mean of 23.0 miles per gallon and a standard deviation of 5.7 miles per gallon. *(Source: U.S. Environmental Protection Agency)*

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

(b) Use a symbolic integration utility to approximate the probability that a vehicle’s fuel mileage is between 25 and 30 miles per gallon.

(c) Use a symbolic integration utility to approximate the probability that a vehicle’s fuel mileage is less than 18 miles per gallon.

**(a)**

To determine

**To graph:** The provided normal probability density function by the use of a graphing utility if all the 2015 model vehicles are normally distributed with a mean of

**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 the vehicle’s fuel mileage is between 25 to 30 miles per gallon. by the use of symbolic integration utility.

**(c)**

To determine

**To Calculate:** The approximate probability that the vehicle’s fuel mileage is less than

Calculus: An Applied Approach (MindTap Course List)

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