A two-way frequency table is shown below that displays the relationship between the region of the country in which people live and the type of music preferred. We took a sample of 193 people and recorded the following results:

Country Music Rock Total

West 26 15 41

East 24 22 46

South 7 33 40

North 41 25 66

Total 98 95 193

What is the probability (rounded to the nearest whole percent) that a randomly selected person is from the western region of the country if he or she prefers country music?

A. 26%

B. 13%

C. 63%

D. 27%

Question

Mathematics

Ally Marks

21 September, 14:31

A two-way frequency table is shown below that displays the relationship between the region of the country in which people live and the type of music preferred. We took a sample of 193 people and recorded the following results:

Country Music Rock Total

West 26 15 41

East 24 22 46

South 7 33 40

North 41 25 66

Total 98 95 193

What is the probability (rounded to the nearest whole percent) that a randomly selected person is from the western region of the country if he or she prefers country music?

A. 26%

B. 13%

C. 63%

D. 27%

+4

Answers (1)

Know the Answer?

Dillon · Answer 1

We are given the data for the number of persons from different areas versus their music preference. We are asked to determine the probability that a person likes country music if he selected is random from the western region.

The total number of persons in the West:

26 + 15 + 41 = 82

Number of persons who like country music = 26

Probability = 26/82 = 0.3171