A student is taking amultiple-choice exam in which each question has four choices. Assuming that she has no knowledge of the correct answers to any of thequestions, she has decided on a strategy in which she will place four balls(marked A,B,C,andD) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are six multiple-choice questions on the exam. Complete parts(a) through(d) below.

a. What is the probability that she will get six questionscorrect?

(Round to four decimal places asneeded.)

b. What is the probability that she will get at least five questionscorrect?

(Round to four decimal places asneeded.)

c. What is the probability that she will get no questionscorrect?

(Round to four decimal places asneeded.)

d. What is the probability that she will get no more than two questionscorrect?

(Round to four decimal places asneeded.)