Anton Zhang

Mathematics

6 December, 21:06

A survey of eating habits showed that approximately

4 % of people in a certain city are vegans. Vegans do not eat meat, poultry, fish, seafood, eggs, or milk. A restaurant in the city expects

300 people on opening night, and the chef is deciding on the menu. Treat the patrons as a simple random sample from the city 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

long dash

-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.