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Andy is a restaurant owner. He believes 72% of his customers are satisfied with the food quality of his restaurant. From a random sample of

Andy is a restaurant owner. He believes 72% of his customers are satisfied with the food quality of his restaurant. From a random sample of 97 customers, what are the following probabilities? (Round your answers to four decimal places, if needed.)

(a) What is the probability that less than 70 customers are satisfied with the food quality?

(b) What is the probability that at least 70 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 69% and 77%?

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