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?

A.
0.07

B.
0.12

C.
0.34

D.
0.63

Answer 1

The relative frequency of students with red hair among those with gray eyes is calculated by dividing the number of red-haired students with gray eyes (22) by the total number of students with gray eyes (35), resulting in a relative frequency of approximately 0.63.

Therefore, the correct answer is: option d) 0.63

Step-by-step explanation:

To find the relative frequency of students with red hair among those with gray eyes from the sample population, you would divide the number of students with red hair and gray eyes by the total number of students with gray eyes.

Looking at the table provided:

• Number of students with red hair and gray eyes = 22
• Total number of students with gray eyes = 35

So, the calculation for the relative frequency is:

Relative Frequency = Number of red-haired students with gray eyes / Total number of students with gray eyes

Relative Frequency = 22 / 35

Relative Frequency ≈ 0.629 (or 0.63 when rounded to two decimal places)

Therefore, the relative frequency of students with red hair among those with gray eyes is 0.63, which corresponds to option D.