Most binomial probability calculations required in these exercises can be done by using Table C or the Normal approximation. Your instructor may request that you use the binomial probability formula or software. In exercises requiring the Normal approximation, you should use the continuity correction if you studied that topic.
5.33 Multiple-choice tests.
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher than a weak student.) The correctness of an answer to a question is independent of the correctness of answers to other questions. Emily is a good student for whom .
5.33
(a) 0.1788. (b) 0.0721. (c) . (d.) Yes.