Question

In a survey of 400 Latin music downloads, 200 were regional (Mexican/Tejano), 130 were poprock, 45 were tropical (salsa/merengue/cumbia/bachata), and 25 were urban (reggaeton). Calculate the following relative frequencies:

a. That a music download was pop/rock


b. That a music download was neither tropical nor regional.


c. That a music download was not regional

Answer 1

To calculate relative frequencies of music downloads, divide the number of occurrences of a category by the total number of downloads. The relative frequency of pop/rock music downloads is 0.325. The relative frequency of music downloads that are neither tropical nor regional is 0.6875. The relative frequency of music downloads that are not regional is 0.5.

Step-by-step explanation:

To calculate the relative frequencies, we need to divide the number of occurrences of a category by the total number of downloads.

a. The relative frequency of pop/rock music downloads is 130/400 = 0.325.

b. To calculate the relative frequency of music downloads that are neither tropical nor regional, we need to subtract the sum of tropical and regional downloads from the total number of downloads. This is (400 - (200 + 45)) / 400 = 0.6875.

c. To calculate the relative frequency of music downloads that are not regional, we need to subtract the number of regional downloads from the total number of downloads. This is (400 - 200) / 400 = 0.5.