Suppose that the number of books returned to the Seattle Public Library each day is normally distributed with a population mean of 2,100 and a standard deviation of 700 books. 1. What is the probability that the Seattle Public Library receives fewer than 1,100 books on one day? 2. What is the probability that the Seattle Public Library receives fewer than 1,100 books two days in a row (assuming days are independent)? 3. What is the probability that the sample mean of returns from 2 randomly selected days will be less than 1,100 books? [Hint: the sample size is 2.] 4. What is the probability that the sample mean calculated based on returns for a sample of 10 randomly selected days will be less than 1,100 books? 5. Why might book returns on different days not be independent?