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
Seaside Mountain Historical Sightseeing Total
Female 38 36 32 17 123
Male 43 52 23 19 137
Total 81 88 55 36 260
What is the marginal relative frequency of customers who prefer sightseeing vacations?
a:.21
b:.89
c:.14
d:.47
To calculate the marginal relative frequency of customers who prefer sightseeing vacations, we need to divide the total frequency of customers who prefer sightseeing vacations by the total number of customers.
The total frequency of customers who prefer sightseeing vacations is 36, and the total number of customers is 260.
Marginal relative frequency = (Total Frequency of Customers who Prefer Sightseeing Vacations) / (Total Number of Customers)
Marginal relative frequency = 36 / 260
Marginal relative frequency ≈ 0.138
Therefore, the marginal relative frequency of customers who prefer sightseeing vacations is approximately 0.138, which is closest to option c:. 14.