Question

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
previous model year	0.1	0.25	≈0.21
total	1.0	1.0	1.0

which is the best description of the 0.1 in the table?

○ given that a car is a coupe, there is a 10% chance it is from the previous model year.
○ given that a car is from the previous model year, there is a 10% chance that it is a coupe.
○ there is a 10% chance that the car is from the previous model year.
○ there is a 10% chance that the car is a coupe.

Explanation:

Step1: Understand Conditional Relative Frequency

Conditional relative frequency by column means we look at the column (type of car: Coupe or Sedan) and find the proportion of a row (model year) within that column.

Step2: Analyze the 0.1 Cell

The 0.1 is in the "Previous Model Year" row and "Coupe" column. So it's the proportion of previous model year cars among coupes. In other words, given the car is a coupe (column), the chance it's previous model year (row) is 0.1 (10%).

Step3: Evaluate Options

• Option 1: Matches our analysis.
• Option 2: Would be if we looked at row (previous) and column (coupe) as "given previous, chance it's coupe", but the table is by column, so this is wrong.
• Option 3: The total for previous model year is ~0.21, not 0.1, so this is wrong.
• Option 4: The total for coupe is 1.0, but 0.1 is about previous model year within coupes, not chance of being a coupe, so wrong.

Answer:

A. Given that a car is a coupe, there is a 10% chance it is from the previous model year.