Question: A quiz consists of six multiple-choice questions. Each question contains no information about other questions. Each question has four possible answers. Only one of the four answers is correct for each question. Suppose that you guess the answers to all six questions. You are definitely interested in answering each question correctly.

a. What special probability distribution applies to this problem and why?

b. What is the probability that you answer exactly four questions correctly?

c. On average, what is the expected number of correct answers?

d. Compute the standard deviation.