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A quiz consists of 15 multiple-choice questions. Each question has 5 choices, with exactly one correct...

A quiz consists of 15 multiple-choice questions. Each question has 5 choices, with exactly one correct choice. A student, totally unprepared for the quiz, guesses on each of the 15 questions. a. How many questions should the student expect to answer correctly? b. What is the standard deviation of the number of questions answered correctly? c. If at least 7 questions must be answered correctly to pass the quiz, what is the chance the student passes?

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