4. A test has 50 multiple choice questions. Each question has four answer option

Question

4. A test has 50 multiple choice questions. Each question has four answer options (A, B, C, and D). [25 points]

A. Assuming that the students have been coming to class and have some related knowledge, do scores on this test represent a binomial random variable? Why or why not?

B. Assuming that the students have no prior knowledge and randomly guess on all questions, do scores on this test represent a binomial random variable? Why or why not?

C. Assuming that all students randomly guess on all questions, compute the expected mean and standard deviation of the distribution of quiz scores.

D. Assuming that a student is randomly guessing on all questions, what is the probability that he or she will get 25 or more questions correct?

E. Assuming that all students randomly guess on all questions, what scores will separate the middle 95% from the outer 5%?

Explanation / Answer

A)no, because the probability for answering questions correctly will not be constant

B)

Yes, p=constant,

n=constant

C)

Mean =np=50*0.25=12.5

Sd=sqrt(npq)

=sqrt(12.5*0.75)

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.