In a multiple-choice exam, there are 30 questions. There are 5 answers for each question and only one answer is correct. A student answers the exam by selecting the answers randomly. Introduce the probability model for X the number of correct answers. Show your work by using formula and calculate the probability that this student answers to exactly 6 questions correctly. Calculate the probability that this student answer to more than 20 questions wrong. Round the answers to 3 decimal places.

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