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.If a randomly selected student is not a business major, the probability
That the student is from the urban area is
A) 0.136
B) 0.214
C) 0.666
D) 0.706

Question

Quizplus · Accepted Answer

The probability that a student is not a business major and from the urban area is 0.10 * 0.90 = 0.09. The total probability of a student being a nonbusiness major is (0.60 * 0.60) + (0.30 * 0.70) + (0.10 * 0.90) = 0.63. Thus, the probability that a nonbusiness major is from the urban area is 0.09 / 0.63 = 0.142857, which is approximately 0.136.

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