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.

The mean number of students expected to be on the honor roll is 32.

Explanation:

Since we have given that

Number of students = 400

Probability of students on honor roll = 8% = 0.08

p = 0.08

q = 0.92

Since it is a binomial distribution,

Mean for this sample would be

Hence, the mean number of students expected to be on the honor roll is 32.

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the answer is definitely a