A survey of eating habits showed that 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. What is the approximate probability that less than 5% of the 300 people will be the vegans? Assume the vegans are independent and there are no families of vegans.

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