please explain steps

7. In a certain college the average SAT score for entering freshmen is 458 with standard deviation 110. A college admissions officer take a simple random sample of 100 entering freshmen. (8 points) 0. What is the probability that the average SAT score in his sample is less than 445? What is the probability that the average SAT score in his sample is between 450 and 461? Is it unusual that the average in his sample is more than 470? Explain why