SAT scores: Assume that in a given year the mean mathematics SAT score was 498, and the standard deviation was 112. A sample of 63 scores is chosen. Use Excel, Part 1 of 5 (a) What is the probability that the sample mean score is less than 481? Round the answer to at least four decimal places. The probability that the sample mean score is less than 481 is. X 5 Part 2 of 5 (b) What is the probability that the sample mean score is between 465 and 500? Round the answer to at least four decimal places. The probability that the sample mean score is between 465 and 500 is. X 5 Part 3 of 5 (c) Find the 65"h percentile of the sample mean. Round the answer to at least two decimal places. The 65th percentile of the sample mean is. X 5 Part 4 of 5 (d) Would it be unusual if the sample mean were greater than $10? Round the answer to at least four decimal places. It would not be unusual if the sample mean were greater than 510, since the probability is. X 5 Part: 4 / 5 Part 5 of 5 e) Do you think it would be unusual for an individual to get a score greater than $10? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. No because the probability that an individual gets a score greater than 510 is