A. The relative frequency for students with both blue eyes and glasses is 0.08 or 8%. Therefore, the probability, rounded to the nearest tenth, that a student had blue eyes and wore glasses is 8%.
B. The relative frequency for students who wear glasses given that they have brown eyes is 0.2 or 20%. The relative frequency for students who wear glasses in general is 0.24 or 24%. Therefore, the conditional probability that a student's eye color is brown given that the student wears glasses is:
(0.2) / (0.24) = 0.8333...
Rounded to the nearest tenth, the probability is 42.9%.
A high school class conducts a survey where students are asked about their eye color and whether or not they wear glasses. The two-way table below shows the results of the survey as relative frequencies.
64f1ab09-1bed-4726-8235-3dd81fdd08c7.png
A. Based on the results of the survey, what is the probability, rounded to the nearest tenth, that a student had blue eyes and wore glasses?
B. Based on the results of the survey, what is the probability, rounded to the nearest tenth, that a student's eye color is brown given that the student wears glasses?
Word Bank:
16% 4% 24% 8% 12% 20% 42.9%
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1 answer
1 answer