Answered

Select the correct answer.

A travel agency polled its customers about their favorite kind of vacation. The results of the survey are shown in the given two-way frequency table.

Vacation Preferences
\begin{tabular}{|c|c|c|c|c|c|}
\cline{2-6}
\multicolumn{1}{c|}{} & Seaside & Mountain & Historical & Sightseeing & Total \\
\hline
Female & 38 & 36 & 32 & 17 & 123 \\
\hline
Male & 43 & 52 & 23 & 19 & 137 \\
\hline
Total & 81 & 88 & 55 & 36 & 260 \\
\hline
\end{tabular}

What is the marginal relative frequency of customers who prefer sightseeing vacations?

A. 0.21

B. 0.47

C. 0.14

D. 0.89



Answer :

GinnyAnswer
To find the marginal relative frequency of customers who prefer sightseeing vacations, we need to follow these steps:

1. Identify the total number of customers surveyed. According to the provided table, the total number of customers is 260.

2. Identify the number of customers who prefer sightseeing vacations. According to the table, this number is 36.

3. Calculate the marginal relative frequency by dividing the number of customers who prefer sightseeing vacations by the total number of customers surveyed.

4. The calculation results in:
[tex]\[ \frac{36}{260} \][/tex]

After performing this division, the result is approximately 0.13846153846153847.

Therefore, the correct marginal relative frequency of customers who prefer sightseeing vacations is about 0.14 (rounded to two decimal places).

The correct answer is:
C. 0.14