Concept explainers
a.
The higher probability out of choosing a car at random that has a fuel efficiency of 26−28 mpg or one with fuel efficiency of 22−24 mpg.
a.

Answer to Problem 64E
Probability to get a car having fuel efficiency between 26−28 mpg is greater.
Explanation of Solution
Given Information: A bell shaped curve is given.
Calculation:
26−28 mpg corresponds to σ>x>ˉx which represents 34.1% of the total area of the curve.
Probability ( 26−28 mpg) =0.341
Whereas 22−24 mpg corresponds to −2σ<x<−σ which represents 13.6% of the total area of the curve.
Probability ( 22−24 mpg) =0.136
Thus, probability to get a car having fuel efficiency between 26−28 mpg is greater.
b.
The higher probability out of choosing a car at random that has a fuel efficiency of 20−22 mpg or one with fuel efficiency of at least 30 mpg.
b.

Answer to Problem 64E
Probability to get a car having fuel efficiency between of at least 30mpg is greater.
Explanation of Solution
Given Information: A bell shaped curve is given.
Calculation:
20−22 mpg corresponds to −3σ<x<−2σ which represents 2.1% of the total area of the curve.
Probability ( 20−22 mpg) =0.021
Greater than 30 mpg corresponds to 2σ<x<4σ which represents 2.14% and 0.13% of the total area of the curve.
Probability =0.021+0.0013
=0.0223
Thus, probability to get a car having fuel efficiency between of at least 30mpg is greater.
Chapter 13 Solutions
EBK PRECALCULUS W/LIMITS
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