Suppose you are given a multiple-choice test with 10 questions, each with 4 answer choices. If you randomly guess the answer to each question, what is the probability that you answer at least 7 questions correctly? Additionally, what is the expected number of questions that you would answer correctly by guessing, and what is the standard deviation of the number of questions answered correctly?

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Q: What is the probability that the sample proportion exceeds 0.12?

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A:

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