In a restaurant, 400 people are served food every day. On average, 20% of the guests order apple pie. (a) Determine the number of apple pies the chef should prepare so that with a probability of 0.95, that number is sufficiently large (to serve everyone) and sufficiently small (to avoid wasting resources). (b) How many guests should the restaurant have so that with a probability of 0.95, the number of guests ordering apple pie falls within the range of 19% to 21%?

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