At Eastern University,60% of the students are from suburban areas,30% are from rural areas,and 10% are from urban areas.Of the students from the suburban areas,60% are nonbusiness majors.Of the students from the rural areas,70% are nonbusiness majors.Of the students from the urban areas,90% are nonbusiness majors.The probability that a randomly selected student is a business major is
A)0.66
B)0.54
C)0.44
D)0.34

Question

Quizplus · Accepted Answer

To find the probability of a randomly selected student being a business major, we need to find the proportion of students who are business majors out of the total student population.

Let's assume there are 100 students in total at Eastern University. Then, we can find the number of students in each category:

- Suburban areas: 60% of 100 students = 60 students 
    - Of these, 60% are nonbusiness majors, so 40% are business majors = 0.4 x 60 = 24 students 
- Rural areas: 30% of 100 students = 30 students 
    - Of these, 70% are nonbusiness majors, so 30% are business majors = 0.3 x 30 = 9 students 
- Urban areas: 10% of 100 students = 10 students 
    - Of these, 90% are nonbusiness majors, so 10% are business majors = 0.1 x 10 = 1 student

So, there are a total of 24 + 9 + 1 = 34 business majors out of 100 students.

Therefore, the probability of a randomly selected student being a business major is 34/100 = 0.34.

The best choice is D.

At Eastern University,60% of the Students Are from Suburban Areas,30