Andy is a restaurant owner. He believes 82% of his customers are satisfied with the food quality of his restaurant. From a random sample of 96 customers, what are the following probabilities? (Round your answers to four decimal places, if needed.)
(a) What is the probability that less than 79 customers are satisfied with the food quality?
(b) What is the probability that at least 79 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 80% and 86%?