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. No. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would not be unusual. Yes. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual. Yes. The upper limit of successes that would be deemed to be usual is 6, so more than 5 successes would be unusual. No. The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would not be unusual. (b) If you were simply guessing on a multiple-choice exam consisting of 10 questions with 5 possible responses for each question, would you be likely to get more than half of the questions correct? Explain. Yes. P(x > 5) is large, so it would be likely to get more than half of the questions correct. Yes. P(x > 5) is very small, so it would be likely to get more than half of the questions correct. No. P(x > 5) is very small, so it would be unlikely to get more than half of the questions correct. No. P(x > 5) is large, so it would be unlikely to get more than half of the questions correct