If half the students at Quincy University have blue eyes,which of the following events is most probable?
A) In a class consisting of 15 students,80% or more have blue eyes.
B) In a class consisting of 30 students,80% or more have blue eyes.
C) In a class consisting of 45 students,80% or more have blue eyes.
D) All of these answers are equally probable.

Question

Quizplus · Accepted Answer

Given that half the students at Quincy University have blue eyes, the probability of selecting a student with blue eyes is 50%. As the size of the sample (class) increases, the probability of the sample proportion deviating significantly from the population proportion (50%) decreases due to the law of large numbers. Therefore, it's most probable in the smallest class size (15 students) to have a deviation such as 80% or more students having blue eyes.

If Half the Students at Quincy University Have Blue Eyes,which