Question: A student is taking amultiple-choice exam in which each question has five choices. Assuming that she has no knowledge of the correct answers to any
A student is taking amultiple-choice exam in which each question has fivechoices. 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 fiveballs(A,B,C,D,andE) 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 fourmultiple-choice questions on the exam.
a. What is the probability that she will get fourquestionscorrect?
b. What is the probability that she will get at least threequestionscorrect?
c. What is the probability that she will get no questionscorrect?
d. What is the probability that she will get no more than two questionscorrect?
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