An instructor develops a True/False exam for an introductory stat course. A student, who didn't

study, randomly guesses on each question. Making the reasonable assumption that the

probability of success (guessing correctly) on each question is equal to .5, answer the following

questions.

A) If the exam has 20 questions, use the probability tool to find the probability that the student

will guess exactly 5 right. Exactly 11 right. Exactly 19 right.

B) If there are 20 questions, what is the probability that the student will make BETWEEN 7 and

12 right guess? [In the binomial problems we will take the convention that "between" is

inclusive. That is, when I say "between 7 and 12" correct, I mean to include 7 and 12.]

C) What is the probability that the student will score outside of 7 and 12 correct? [Here we will

take the convention that "outside" is exclusive, that is, "outside 7 and 12" does not include 7 and

12.]

D) What is the probability that the student will score 18 or above?

E) What is the probability that the student will score 14 or above?

F) What single score is the most likely? And what is the probability of obtaining this score?

G) If there is only one question (N = 1), what is the probability of getting 100% by guessing?

H) If there are two questions, what is the probability of getting 100%?

I) If there are five questions, what is the probability of getting 100%?

J) If there are 10 questions, what is the probability of getting 100%?