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 5.18

5.18 What is wrong?

Explain what is wrong in each of the following scenarios.

  1. In the binomial setting, is a proportion.
  2. The variance for a binomial count is .
  3. The Normal approximation to the binomial distribution is always accurate when is greater than 1000.
  4. We can use the binomial distribution to approximate the distribution of when we draw an SRS of size students from a population of 500 students.