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. What is the probability that a randomly selected student is a business major?
A) 0.66
B) 0.54
C) 0.34
D) 0.44

Question

Quizplus · Accepted Answer

We need to find the probability of a student being a business major. Using the total percentages given, we can calculate the probability as follows:

Probability of a student being a nonbusiness major from suburban areas = 60% of 60% = 0.36
Probability of a student being a nonbusiness major from rural areas = 70% of 30% = 0.21
Probability of a student being a nonbusiness major from urban areas = 90% of 10% = 0.09

Now, to find the probability of a student being a business major, we can subtract the above probabilities from 1:

Probability of a student being a business major = 1 - 0.36 - 0.21 - 0.09 = 0.34

Therefore, the answer is C.

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