The relative frequency table below displays the proportion of colors of cars for sale at a dealership.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
White & Black & Silver & Blue & Red & Green & Yellow \\
\hline
0.24 & 0.20 & 0.15 & 0.12 & 0.15 & 0.10 & [tex]$? ?$[/tex] \\
\hline
\end{tabular}

What proportion of cars are yellow?

A. 0.04
B. 0.10
C. 0.15
D. 0.40



Answer :

To determine the proportion of cars that are yellow, we start by understanding that the sum of all given color proportions must equal 1, as the total proportion represents the entire dataset of cars.

The given proportions of the other car colors are:
- White: 0.24
- Black: 0.20
- Silver: 0.15
- Blue: 0.12
- Red: 0.15
- Green: 0.10

First, summarize these proportions:
[tex]\[ 0.24 + 0.20 + 0.15 + 0.12 + 0.15 + 0.10 = 0.96 \][/tex]

Next, because the total proportion must equal 1, we subtract the sum of the given proportions from 1 to find the proportion of yellow cars:
[tex]\[ 1.00 - 0.96 = 0.04 \][/tex]

Hence, the proportion of cars that are yellow is:
[tex]\[ \boxed{0.04} \][/tex]