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Eva8 [605]
3 years ago
8

Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. of the 80 male students who wer

e surveyed, 60 had brown eyes. if eye color and gender are independent, how many female students surveyed would be expected to have brown eyes?
Mathematics
1 answer:
Aloiza [94]3 years ago
7 0
Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120

Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.

Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.

Let the number expected of brown eyed females be x, then x / 120 = 0.75.

Thus, x = 120(0.75) = 90.

Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
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