4. Suppose there are N multiple-choice questions in an examination. Each question has 4 choices. You have a probability of 0.6 of knowing the correct answer to a particular question. If you do not know the answer, you pick one at random. Your answer to different questions are independent of each other. (a) For a particular question, find the probability that you answer it correctly. (b) Suppose N = 3. Given that you have answered all questions correctly, what %D is the probability that you only know the answer to exactly two questions?

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