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.

Question 5.20

5.20 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 .

  1. In a random sample of 20 students in a fitness study, is the mean daily exercise time of the sample.
  2. A manufacturer of running shoes picks a random sample of 20 shoes from the production of shoes each day for a detailed inspection. is the number of pairs of shoes with a defect.
  3. A college tutoring center chooses an SRS of 50 students. The students are asked whether or not they have used the tutoring center for any sort of tutoring help. is the number who say that they have.
  4. is the number of days during the school year when you skip a class.