Question: An exam consists of 20 multiple choice questions, each with four possible answers (A, B, C, D). A student guesses on each of the 20 questions. The student answers each question independently and has a 25% chance of guessing correctly on each question. (2 pts each)

a. What type of probability distribution is represented by this situation?

b. What is the expected number (mean) of questions answered correctly?

c. What is the standard deviation for the number of questions answered correctly?

d. What is the probability the student will answer exactly 5 questions correctly?

e. What is the probability that the student will answer at most 5 questions correctly?

f. What is the probability that the student will answer at least 12 questions correctly?