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Highest-rated new cars. Consumer Reports magazine annually
Chapter 3, Problem 24E(choose chapter or problem)
Highest-rated new cars. Consumer Reports magazine annually asks readers to evaluate their experiences in buying a new car during the previous year. Analysis of the questionnaires for a recent year revealed that readers were very satisfied with the following three new cars (in no particular order): Hyundai Elantra, Toyota Prius, and Subaru Forrester (Consumer Reports, Apr. 2011).
a. List all possible sets of rankings for these top three cars.
b. Assuming that each set of rankings in part a is equally likely, what is the probability that readers ranked Toyota Prius first? That readers ranked Hyundai Elantra third? That readers ranked Toyota Prius first and Subaru Forrester second?
Questions & Answers
QUESTION:
Highest-rated new cars. Consumer Reports magazine annually asks readers to evaluate their experiences in buying a new car during the previous year. Analysis of the questionnaires for a recent year revealed that readers were very satisfied with the following three new cars (in no particular order): Hyundai Elantra, Toyota Prius, and Subaru Forrester (Consumer Reports, Apr. 2011).
a. List all possible sets of rankings for these top three cars.
b. Assuming that each set of rankings in part a is equally likely, what is the probability that readers ranked Toyota Prius first? That readers ranked Hyundai Elantra third? That readers ranked Toyota Prius first and Subaru Forrester second?
ANSWER:Solution 24E
Step 1 of 3:
From the given information we define the events:
H = Hyundai Elantra,
T = Toyota Prius, and
S = Subaru Forrester.
Our goal is:
a). We need to list all possible sets of rankings for these top three cars.
b). We need to find the probability that readers ranked Toyota Prius first. That readers ranked
Hyundai Elantra third? That readers ranked Toyota Prius first and Subaru Forester second?