Andy is a product manufacturer. He believes 78% of his customers are satisfied with the quality of his products. From a random sample of 96 customers, what are the following probabilities? (If necessary, use the sampling distribution of the sample proportion, NOT the normal approximation to binomial.) (a) What is the probability that less than 75 customers are satisfied with the quality? (Round your answers to 4 decimal places, if needed.) (b) What is the probability that at least 75 customers are satisfied with the quality? (Round your answers to 4 decimal places, if needed.) (c) What is the probability that the sample proportion of customers who are satisfied with the quality is between 75% and 82%, inclusively? (Round your answers to 4 decimal places, if needed.).