A chef is opening a new restaurant in Portland, Oregon, and wants to know how many vegan meals he should prepare. 300 people will attend opening night. He knows that about 4% of people in Portland are vegan, and the approximate population of Portland is 600,000.
1. What is the probability that more than 5% of the people attending opening night will be vegans?
2. What is the probability that less than 3% of the people attending opening night will be vegans?
3. What is the probability that between 2.5% and 5.5% of the people attending opening night will be vegans?