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4. Suppose the event of a student's application to a university being accepted follows the binomial probability. The successful rate is 80%. Please finish the

4. Suppose the event of a student's application to a university being accepted follows the binomial probability. The successful rate is 80%. Please finish the following tasks?

(1) Determine the expected number of acceptances for the next 9 applicants and the standard deviation. Which number has highest probability?

(2) What is the probability that among the next 10 applicants exactly 6 will be accepted?

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