There are 16,253 men and 21,784 women at a large state university. If 28% of the

Question

There are 16,253 men and 21,784 women at a large state university. If 28% of the men and 44% of the women are social science majors, what is the expected number of social science majors in a random sample of 100 students?

Can somone please explain why the asnwer is C. 37?

There are 16,253 men and 21,784 women at a large state university. If 28% of the men and 44% of the women are social science majors, what is the expected number of social science majors in a random sample of 100 students? a. 28 b. 36 c. 37 d. 44 e. 72

Explanation / Answer

Number of men that are social science major = 0.28x16,253 = 4551

Number of women that are social science major = 0.44x21,784 = 9585

Total number of students that are social science majors = 9585 + 4551

= 14,136

Percentage of students that are social science major (expected number of social science majors in a random sample of 100 students) = 14,136 / (16,253 + 21,784)

= 0.3716

C. 37

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