At an eastern state's 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) 0.666
C) 0.214
D) 0.706

Question

Quizplus · Accepted Answer

To find the probability that a nonbusiness major is from the urban area, we first calculate the total probability of a student being a nonbusiness major: (0.6 * 0.6) + (0.3 * 0.7) + (0.1 * 0.9) = 0.36 + 0.21 + 0.09 = 0.66. The probability that a nonbusiness major is from the urban area is (0.1 * 0.9) / 0.66 = 0.09 / 0.66 = 0.136.

At an Eastern State's University,60% of the Students Are from Suburban