Suppose there is a 4 question multiple choice test. Each question has 5 answers(A, B, C, D, E).

a. Can this multiple choice test be considered a binomial setting? Why or why not?

b. Make a distribution table. Assume that you are strictly guessing on the test.

c. Based on the distribution, how many problems do you expect to get correct? How likely is it that you will pass if you are strictly guessing?

d. What is the probability that you will get less than 3 correct?

e. What is the probability that you will get at least 3 correct?

f. What is the probability that you will get between 2 and 4 correct (inclusive)?