Suppose that among the population of all new restaurants, 90% of them will close within a year of opening.

a) Given a sample of 200 new restaurants, what's the chance that between 85% and 95% of them will be close within a year?

b) Given a sample of 1000 new restaurants, what's the chance that between 85% and 95% of them will be close within a year?

c) Explain the difference between your answers to a) and b).