1. When does the Poisson distribution best approximate the binomial distribution?

2. In a town, there are four people: Amy, Bob, Carla, Dave. (This is a population.) You randomly pick one person and asks the number of homework assignments they did last week. Amy did 9, Bob did 7, Carla did 15, Dave did 9. The standard deviation of this population is 3. What is the probability that your pick will be within 2 homework assignments from the mean?

3.True or False and explain: A small sample (less than 10 people) taken from a population that is normally distributed will not result in a sampling distribution that is normal, while a large sample taken from the same distribution will result in a sampling distribution that is normal.