A class is taking a test that consists of 20 true/false questions. The instructor made a mistake and printed the quiz for a much more advanced class. The students don't know any of the content and they randomly guess at every question without event reading them.
A. Explain why this is a binomial random variable.
B. What are the values of the parameters n and p?
C. What is the mean quiz score?
D. What is the standard deviation of the quiz scores?
E. In order to pass, a student needs to get 12 or more questions correct. What is the probability that a student will get 12 or more questions correct?
F. In order to get an A, a student needs to get 18 or more questions correct. What is the probability that a student will get 18 or more questions correct?
G. What is the probability that a student will get all 20 questions correct?