Question

There are 8,253 men and 10,327 women at a state university. If 43% of the men are in business and 27% of the women are in business majors. What is the expected number of majors in a random sample of 200 students?

Answer 1

Answer:

68 students

Step-by-step explanation:

Number of men who major in business in the university= 0.43*8253=3548.79

Rounding off we have 3549 students

Number of women who major in business in the university= 0.27*10327=2788.29

Approximately 2789 students

Total students who major in Business= 3549+2789=6338 students

Total students in school= 8253+10327=18580

Probability of getting business major= 6338/18580

Out of 200 students, we expect

$\frac {6338}{18580} \times 200=68.22389666$

Approximately 68 students will be majoring in business