On Myanmar's Election Day, a polling company is contracted by an international media outlet to conduct an exit poll. Voters are sampled and asked whether they voted for the National League for Democracy--the pro-democratization party led by Aung San Suu Kyi. The poll draws from a voter population N=28,000, and probability that a voter votes for NLD p = .54.

1. At what sample size n or larger should the finite population correction factor be used?
2. What is the probability that the sample proportion is less than .6 if a sample of size n = 400 is collected?
3. If a sample size n = 600 is collected from a total population N of 28,000, find the value p bar such that the sample proportion will be less than that p bar with a probability of .95.