Feeding Vegans
A survey of eating habits showed that approximately 4% of people in Portland, Oregon, are vegans. Vegans do not eat meat, poultry, fish, seafood, eggs, or milk.
A restaurant in Portland expects 300 people on opening night, and the chef is deciding on the menu. Treat the patrons as a simple random sample from Portland and the surrounding area, which has a population of about 600,000.
If 14 vegan meals are available, what is the approximate probability that there will not be enough vegan meals-that is, the probability that 15 or more vegans will come to the restaurant? Assume the vegans are independent and there are no families of vegans.