Critical Thinking For a binomial probability distribution,

Chapter , Problem 3

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Critical Thinking For a binomial probability distribution, it is unusual for the number of successes to be less than \(\mu - 2.5 \sigma\) or greater than \(\mu + 2.5 \sigma\).

(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 5 possible responses for each question, would you be likely to get more than half of the questions correct? Explain.

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