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.