5.58 What is wrong? Explain what is wrong in each of the following scenarios.

1. (a) In the binomial setting, X is a proportion.

2. (b) The variance for a binomial count is .

3. (c) The Normal approximation to the binomial distribution is always accurate when n is greater than 1000.

4. (d) We can use the binomial distribution to approximate the sampling distribution of when we draw an SRS of size n = 50 students from a population of 500 students.