AnswersMathematics IRelative Frequencies and Association — QuizQuestion 1
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Relative Frequencies and Association — Quiz

Question 1 • Mathematics I

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. The dealer used the data from the frequency table to create this conditional relative frequency table by column. Car Inventory Coupe Sedan Total Current Model Year 0 point 9 0 point 7 5 almost equal to 0 point 7 9 Previous Model Year 0 point 1 0 point 2 5 almost equal to 0 point 2 1 Total 1 point 0 1 point 0 1 point 0 Which is the best description of the 0 point 1 in the table?

Answer
A
Given that a car is a coupe, there is a 10 percent chance it is from the previous model year.
B
There is a 10 percent chance that the car is from the previous model year.
C
Given that a car is from the previous model year, there is a 10 percent chance that it is a coupe.
D
There is a 10 percent chance that the car is a coupe.

Explanation

A conditional relative frequency table by column gives proportions within each column. The 0.1 is in the Previous Model Year row and Coupe column, so it means that among coupe cars, 0.1, or 10%, are from the previous model year. The best description is “Given that a car is a coupe, there is a 10 percent chance it is from the previous model year.”

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