School administrators asked a group of students and teachers which of two school logo ideas, logo A or logo B, they prefer. This table shows the results.
Students
Teachers
Total
Logo A
84
21
105
Logo B
16
4
20
Total
100
25
125
Are being a student and preferring logo A independent events?
Why or why not?
• A. No, they are not independent, because P(student) = 0.8 and
P(student | logo A) = 0.8.
• B. No, they are not independent, because P(student) = 0.8 and
P(student logo A) = 0.84.
• C. Yes, they are independent, because P(student) = 0.8 and
P(student logo A) = 0.84.
O D. Yes, they are independent, because P(student) = 0.8 and
P(student | logo A) = 0.8.