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.
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