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

Question

Quizplus · Accepted Answer

To find the probability that a randomly selected student is a business major, calculate the probability for each area and sum them: Suburban: 0.6 * 0.4 = 0.24, Rural: 0.3 * 0.3 = 0.09, Urban: 0.1 * 0.1 = 0.01. Total probability = 0.24 + 0.09 + 0.01 = 0.34.

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