Andy is a restaurant owner. He believes 77% of his customers are satisfied with the food quality of his restaurant. From a random sample of 72 customers, what are the following probabilities? (Round your answers to four decimal places, if needed.)
(a) What is the probability that less than 56 customers are satisfied with the food quality?
(b) What is the probability that at least 56 customers are satisfied with the food quality?
(c) What is the probability that the sample proportion of customers who are satisfied with the food quality is between 74% and 81%?