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 from the urban area and is a nonbusiness major 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) = 0.36 + 0.21 + 0.09 = 0.66. Thus, the probability that a nonbusiness major is from the urban area is 0.09 / 0.66 = 0.136.

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