A researcher wants to know the probability of being named on the honor roll from a population where 8% of students are on the honor roll.If the researcher selects a sample of 400 students,then what is the mean number of students expected to be on the honor roll? Hint: This is a binomial distribution,where p = 0.08 and q = 0.92.
A) 29
B) 32
C) 368
D) 200

Question

Quizplus · Accepted Answer

The mean of a binomial distribution is calculated using the formula: 
mean = n * p 
where n is the sample size and p is the probability of success. 
Substituting the values, we get: 
mean = 400 * 0.08 = 32 
Therefore, the mean number of students expected to be on the honor roll is 32. 
Option B is the correct choice.

A Researcher Wants to Know the Probability of Being Named