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Student enrolled in a particular course are preparing for an exam that will consist of 25 multiple choice questions, each of which has five possible answers.

a. What is the probability of a student correctly answering no less than 22 questions based solely upon guessing the answer to each question?

b. What is the probability of a student correctly answering no more than 18 questions based solely upon guessing the answer to each question?

c. What is the probability of a student correctly answering exactly 13 questions based solely upon guessing the answer to each question?

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