contestada

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.

Respuesta :

Answer: 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

[tex]E[x]=np=400\times 0.08=32[/tex]

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

Otras preguntas