Answered

A waitress kept track of whether her customers ordered an appetizer and dessert. Her data are shown in a relative frequency table.

\begin{tabular}{|c|c|c|c|}
\hline & Appetizer & No appetizer & Total \\
\hline Dessert & [tex]$0.1$[/tex] & 0.3 & 0.4 \\
\hline No dessert & 0.2 & 0.4 & 0.6 \\
\hline Total & 0.3 & 0.7 & 1.0 \\
\hline
\end{tabular}

What does the 0.1 in the highlighted cell mean?

A. [tex]$10 \%$[/tex] of the customers who ordered an appetizer ordered dessert.
B. [tex]$10 \%$[/tex] of her customers ordered an appetizer and dessert.
C. [tex]$10 \%$[/tex] of her customers ordered dessert.
D. [tex]$10 \%$[/tex] of her customers ordered an appetizer.



Answer :

GinnyAnswer
To determine what the 0.1 in the highlighted cell means, we should interpret the relative frequency table given.

The table summarizes the proportions of total customers who ordered specific combinations of appetizers and desserts. Each cell represents a fraction of the total number of customers.

Here is the table layout again for clarity:

| | Appetizer | No Appetizer | Total |
|-------------|------------|--------------|-------|
| Dessert | 0.1 | 0.3 | 0.4 |
| No Dessert | 0.2 | 0.4 | 0.6 |
| Total | 0.3 | 0.7 | 1.0 |

Looking at the highlighted cell, which is in the row "Dessert" and the column "Appetizer", the value 0.1 represents the proportion of the total customers that ordered both an appetizer and dessert. This means that 0.1 of the total customers ordered both an appetizer and a dessert.

To convert this proportion to a percentage, we multiply by 100:
[tex]\[ 0.1 \times 100 = 10\% \][/tex]

This indicates that 10% of her total customers ordered both an appetizer and a dessert.

Thus, the correct interpretation is:
B. 10% of her customers ordered an appetizer and dessert.

Other Questions