A multiple-choice test consists of a series of questions, each with four possible answers. (a) If there

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A multiple-choice test consists of a series of questions, each with four possible answers.
(a) If there are 60 questions, estimate the probability that a student who guesses blindly at each question will get at least 30 questions right.
(b) How many questions are needed in order to be 99% confident that a student who guesses blindly at each question scores no more than 35% on the test?
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