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?
To find the marginal relative frequency of customers who prefer sightseeing vacations, we need to calculate the relative frequency of sightseeing vacations in relation to the total number of customers.
The total number of customers who prefer sightseeing vacations is the sum of the number of females and males who prefer sightseeing vacations: 17 + 19 = 36.
The total number of customers is 260.
The relative frequency is calculated by dividing the total number of customers who prefer sightseeing vacations by the total number of customers: 36 / 260 = 0.1384615.
Therefore, the marginal relative frequency of customers who prefer sightseeing vacations is approximately 0.1385 or 13.85%.