Suppose that 65% of high school students eat breakfast before going to school. A random sample of 500 high school students were surveyed. Let X = the number of high school students in a random sample of size 500 who eat breakfast before going to school. 1. Explain why X can be modeled by a binomial distribution even though the sample was selected without replacement.

2. Use a binomial distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.

3. Justify why X can be approximated by a Normal distribution.

4. Use a Normal distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.