Question

As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.

Eye Color
Hair
Color Blue Gray Green Brown Marginal
Totals
Blond 42 5 21 10 78
Red 12 22 19 12 65
Brown 22 5 12 34 73
Black 9 3 11 64 87
Marginal
Totals 85 35 63 120 303

From the sample population of students with gray eyes, what is the relative frequency of students with red hair?


0.07


0.27


0.33


0.26

Answer 1

0.27

Explanation:

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Answer 2

0.63

Explanation:

To get the relative frequency of students with red hair, we need to find the relative frequency of students with red hair from the students with gray eyes.

Since we already know that the total number of students with gray eyes is 35 and the number of red hair students with gray eye is 22

The formula we will use to calculate the relative frequency will be

The relative frequency of students with red hair = Total students of red hair with gray eyes divide by total number of gray eye students

22 ÷ 35 = 0.628 ≅ 0.63