(Solution) - For a binomial probability distribution it is unusual for the -(2025 Original AI-Free Solution)

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For a binomial probability distribution, it is unusual for the number of successes to be less than ? ? 2.5? or greater than ? + 2.5?.
(a) For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Explain.
(b) If you were simply guessing on a multiple-choice exam consisting of 10 questions with five possible responses for each question, would you be likely to get more than half of the questions correct? Explain.