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.
5.21 Should you use the binomial distribution?
In each of the following situations, is it reasonable to use a binomial distribution for the random variable ? Give reasons for your answer in each case. If a binomial distribution applies, give the values of and .
5.21
(a) , where is the probability that a student says he or she usually feels irritable in the morning. (b) This is not binomial; there is not a fixed . (c) . (d) This is not binomial because separate cards are not independent.