Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. Of the 80 male
students who were surveyed, 60 had brown eyes. If eye color and gender are independent, how many female
students surveyed would be expected to have brown eyes?
Since eye color is independent to gender, the percentage of male students having brown eyes is equal to the percentage of female students having brown eyes.
The probability of having brown eyes is
8060=43=75
The number of female students is
200−80=120
75% of these students will have brown eye color
120⋅0.75=90