SAT scores: Assume that in a given year the mean mathematics SAT score was 522, and the standard deviation was 116. A sample of 66 scores is chosen. Use Excel. (a) What is the probability that the sample mean score is less than 509? Round the answer to at least four decimal places. The probability that the sample mean score is less than 509 is E]. (b) What is the probability that the sample mean score is between 486 and 525? Round the answer to at least four decimal places. The probability that the sample mean score is between 486 and 525 is D. Part 3 of 5 (c) Find the 90 percentile of the sample mean. Round the answer to at least two decimal places. The 90 percentile of the sample mean is X Part: 3 / 5 Part 4 of 5 (d) Would it be unusual if the sample mean were greater than 525? Round the answer to at least four decimal places. It (Choose one) V be unusual if the sample mean were greater than 525, since the probability is X(e) Do you think it would be unusual for an individual to get a score greater than 525? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. (choose one) V , because the probability that an individual gets a score greater than 525 is E]